Pub Date : 2026-10-09DOI: 10.1140/epjp/s13360-026-08364-3
J. B. Ndongo Mendouga, A. A. Atangana Likéné, S. Mbida Mbembe, B. Akamba Mbembe, P. Ele Abiama, G. H. Ben-Bolie
We investigate the mass spectra of heavy tetraquark systems modeled as diquark–antidiquark bound states within a conformable fractional extension of the spinless Salpeter equation, hereafter referred to as the Conformable Salpeter Framework. A fractional-order wave equation is derived from first principles using the conformable fractional derivative with order parameter (0<alpha le 1) and is solved analytically with the fractional Hellmann potential. The classical ((alpha =1)) limit reproduces the integer-order results reported in previous studies, confirming consistency of the framework. Binding energies and masses are computed for hidden-charm ((cbar{c})) and hidden-bottom ((bbar{b})) tetraquarks with quantum numbers (J^{PC}=0^{++}), (1^{+-}), (1^{++}), (2^{++}). The predicted masses are compared with experimentally observed exotic states including X(3872), Y(3940), (Z_{cs}(3985)), X(4140), (Z_b(10610)), and (Z_b(10650)) reported by the Belle, CDF, and BESIII collaborations, and with results from other theoretical models. The present study is further extended to fully heavy (ccbar{c}bar{c}) and (bbbar{b}bar{b}) tetraquarks. Variations of (alpha ) between 0.2 and 0.6 provide a continuous tuning of mass predictions, with deviations from experiment typically below 0.5%, demonstrating the flexibility and reliability of the conformable fractional approach.
我们研究了重四夸克系统在无自旋萨尔彼得方程(以下简称为可合萨尔彼得框架)的可合分数扩展内以重夸克-反重夸克束缚态为模型的质谱。从第一性原理出发,利用阶参数为(0<alpha le 1)的符合分数阶导数导出了分数阶波动方程,并用分数阶赫尔曼势解析求解。经典极限((alpha =1))再现了先前研究中报告的整阶结果,证实了框架的一致性。计算了量子数为(J^{PC}=0^{++}), (1^{+-}), (1^{++}), (2^{++})的隐粲((cbar{c}))和隐底((bbar{b}))四夸克的结合能和质量。预测的质量与Belle、CDF和BESIII合作报告的实验观察到的奇异态X(3872)、Y(3940)、(Z_{cs}(3985))、X(4140)、(Z_b(10610))和(Z_b(10650))以及其他理论模型的结果进行了比较。本研究进一步扩展到全重(ccbar{c}bar{c})和(bbbar{b}bar{b})四夸克。(alpha )在0.2和0.6之间的变化提供了质量预测的连续调整,与实验的偏差通常低于0.5%, demonstrating the flexibility and reliability of the conformable fractional approach.
{"title":"Tetraquark spectra with hidden charm and bottom content via a conformable fractional Salpeter framework: masses of (mathcal {J}^{PC} in left{ 0^{++},1^{+-},1^{++},2^{++}right} ) states","authors":"J. B. Ndongo Mendouga, A. A. Atangana Likéné, S. Mbida Mbembe, B. Akamba Mbembe, P. Ele Abiama, G. H. Ben-Bolie","doi":"10.1140/epjp/s13360-026-08364-3","DOIUrl":"10.1140/epjp/s13360-026-08364-3","url":null,"abstract":"<div><p>We investigate the mass spectra of heavy tetraquark systems modeled as diquark–antidiquark bound states within a <i>conformable fractional extension</i> of the spinless Salpeter equation, hereafter referred to as the Conformable Salpeter Framework. A fractional-order wave equation is derived from first principles using the conformable fractional derivative with order parameter <span>(0<alpha le 1)</span> and is solved analytically with the fractional Hellmann potential. The classical (<span>(alpha =1)</span>) limit reproduces the integer-order results reported in previous studies, confirming consistency of the framework. Binding energies and masses are computed for hidden-charm (<span>(cbar{c})</span>) and hidden-bottom (<span>(bbar{b})</span>) tetraquarks with quantum numbers <span>(J^{PC}=0^{++})</span>, <span>(1^{+-})</span>, <span>(1^{++})</span>, <span>(2^{++})</span>. The predicted masses are compared with experimentally observed exotic states including <i>X</i>(3872), <i>Y</i>(3940), <span>(Z_{cs}(3985))</span>, <i>X</i>(4140), <span>(Z_b(10610))</span>, and <span>(Z_b(10650))</span> reported by the Belle, CDF, and BESIII collaborations, and with results from other theoretical models. The present study is further extended to fully heavy <span>(ccbar{c}bar{c})</span> and <span>(bbbar{b}bar{b})</span> tetraquarks. Variations of <span>(alpha )</span> between 0.2 and 0.6 provide a continuous tuning of mass predictions, with deviations from experiment typically below 0.5%, demonstrating the flexibility and reliability of the conformable fractional approach.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-09DOI: 10.1140/epjp/s13360-026-08379-w
Sh. S. El-Khiyami, R. S. Hafez
Multifunctional nanocomposites were prepared by incorporating varying loadings of silver nanoparticles (Ag NPs) into a sodium carboxymethyl cellulose (CMC) matrix using the solution casting technique. The films produced were systematically examined for their structural, morphological, optical, dielectric, and antibacterial characteristics. XRD confirmed the formation of crystalline Ag phases within the predominantly amorphous CMC matrix. FTIR shows changes indicating a shift in the local chemical environment of CMC functional groups, suggesting interactions between the oxygen-containing groups of CMC and the Ag nanoparticles, as well as a disruption of the native hydrogen bonding network of the polymer matrix. TEM examination revealed statistically distributed quasi-spherical Ag nanoparticles with an average diameter of around 38 nm, whereas FESEM/EDX indicated the presence of Ag particles with different sizes, including clustered structures. UV–Vis diffuse reflectance analysis indicated a notable reduction in the optical band gap as the concentration of silver NPs increased. The refractive index dispersion of the CMC/Ag nanocomposites strongly depended on Ag loading. The highest refractive index values (1.26–1.60) were obtained for 1 wt.% Ag, followed by 3 wt.% and 6 wt.%, whereas the lowest values (1.06–1.14) were observed for 9 wt.% Ag. Dielectric measurements revealed an increase in conductivity with increasing Ag concentration, and the charge transport mechanism followed the Correlated Barrier Hopping (CBH) model. Furthermore, the CMC/Ag nanocomposites exhibited enhanced antibacterial activity against both Gram-negative (Escherichia coli) and Gram-positive (Staphylococcus aureus) bacteria, with inhibitory efficacy increasing with increasing Ag NP concentration. These results illustrate the synergistic effect of Ag nanoparticles and the CMC matrix on the physicochemical characteristics of the nanocomposites, making them promising candidates for optoelectronic, dielectric, and biological applications.
{"title":"Silver nanoparticles-loaded carboxymethyl cellulose nanocomposites: structural, morphological, optical, dielectric, and antibacterial properties","authors":"Sh. S. El-Khiyami, R. S. Hafez","doi":"10.1140/epjp/s13360-026-08379-w","DOIUrl":"10.1140/epjp/s13360-026-08379-w","url":null,"abstract":"<div><p>Multifunctional nanocomposites were prepared by incorporating varying loadings of silver nanoparticles (Ag NPs) into a sodium carboxymethyl cellulose (CMC) matrix using the solution casting technique. The films produced were systematically examined for their structural, morphological, optical, dielectric, and antibacterial characteristics. XRD confirmed the formation of crystalline Ag phases within the predominantly amorphous CMC matrix. FTIR shows changes indicating a shift in the local chemical environment of CMC functional groups, suggesting interactions between the oxygen-containing groups of CMC and the Ag nanoparticles, as well as a disruption of the native hydrogen bonding network of the polymer matrix. TEM examination revealed statistically distributed quasi-spherical Ag nanoparticles with an average diameter of around 38 nm, whereas FESEM/EDX indicated the presence of Ag particles with different sizes, including clustered structures. UV–Vis diffuse reflectance analysis indicated a notable reduction in the optical band gap as the concentration of silver NPs increased. The refractive index dispersion of the CMC/Ag nanocomposites strongly depended on Ag loading. The highest refractive index values (1.26–1.60) were obtained for 1 wt.% Ag, followed by 3 wt.% and 6 wt.%, whereas the lowest values (1.06–1.14) were observed for 9 wt.% Ag. Dielectric measurements revealed an increase in conductivity with increasing Ag concentration, and the charge transport mechanism followed the Correlated Barrier Hopping (CBH) model. Furthermore, the CMC/Ag nanocomposites exhibited enhanced antibacterial activity against both Gram-negative (<i>Escherichia coli</i>) and Gram-positive (<i>Staphylococcus aureus</i>) bacteria, with inhibitory efficacy increasing with increasing Ag NP concentration. These results illustrate the synergistic effect of Ag nanoparticles and the CMC matrix on the physicochemical characteristics of the nanocomposites, making them promising candidates for optoelectronic, dielectric, and biological applications.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-09DOI: 10.1140/epjp/s13360-026-08409-7
Faiza Zaamoune, Imad Eddine Tinedert, Ning Wang
This paper introduces a modified three-dimensional Sprott-type system without equilibrium points by combining a smooth hyperbolic-tangent feedback term with a quartic nonlinearity. The proposed model exhibits bounded multispiral chaotic dynamics, quasi-conservative behavior, and rich hidden multistability involving coexisting quasiperiodic and chaotic motions. Its nonlinear properties are investigated through equilibrium analysis, divergence, Lyapunov exponents, bifurcation diagrams, phase portraits, and Poincaré-based representations. The Lyapunov analysis is verified using the variational-equation method with periodic QR orthonormalization. As an application, six chaotic sequences generated by the system are incorporated into a two-round confusion–diffusion–permutation image-encryption framework with an image-dependent SHA-256 key update. The encryption performance is assessed through key sensitivity, histogram and correlation analyses, NIST statistical tests, differential measures, entropy, robustness, and computational cost. In addition, an analog circuit realization is examined through MultiSim simulations, supporting the practical feasibility of the proposed chaotic system.
{"title":"Hidden multistability and quasi-conservative chaotic dynamics in a no-equilibrium modified Sprott system with application to image encryption","authors":"Faiza Zaamoune, Imad Eddine Tinedert, Ning Wang","doi":"10.1140/epjp/s13360-026-08409-7","DOIUrl":"10.1140/epjp/s13360-026-08409-7","url":null,"abstract":"<div><p>This paper introduces a modified three-dimensional Sprott-type system without equilibrium points by combining a smooth hyperbolic-tangent feedback term with a quartic nonlinearity. The proposed model exhibits bounded multispiral chaotic dynamics, quasi-conservative behavior, and rich hidden multistability involving coexisting quasiperiodic and chaotic motions. Its nonlinear properties are investigated through equilibrium analysis, divergence, Lyapunov exponents, bifurcation diagrams, phase portraits, and Poincaré-based representations. The Lyapunov analysis is verified using the variational-equation method with periodic QR orthonormalization. As an application, six chaotic sequences generated by the system are incorporated into a two-round confusion–diffusion–permutation image-encryption framework with an image-dependent SHA-256 key update. The encryption performance is assessed through key sensitivity, histogram and correlation analyses, NIST statistical tests, differential measures, entropy, robustness, and computational cost. In addition, an analog circuit realization is examined through MultiSim simulations, supporting the practical feasibility of the proposed chaotic system.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-09DOI: 10.1140/epjp/s13360-026-08271-7
Chiara Imparato, Giuseppe La Verde, Fabrizio Ambrosino, Chiara de Vita, Salvatore Procopio, Carlo Sabbarese, Mariagabriella Pugliese, Marina Poje Sovilj
Phosphogypsum (PG), a by-product of phosphate fertilizer production, has been widely considered for reuse in construction materials in line with the principles of the circular economy. However, PG and associated secondary compounds such as metasilicate phosphate often contain naturally occurring radionuclides, including 226Ra, 238U and 232Th, which may pose radiological hazards. This study assesses terrestrial and marine radiological exposure scenarios associated with phosphate industry residues used in road construction and stored at a former coastal industrial deposit in Crotone (Calabria, Italy). Sixteen road-pavement composite cores and 28 deposit-site samples were investigated by high-resolution gamma-ray spectrometry. Maximum activity concentrations in the road-pavement samples reached 1235 Bq kg−1 for 238U, 1212 Bq kg−1 for 226Ra and 317 Bq kg−1 for 40K. The ERICA Tool was applied using a screening dose rate of 10 µGy h−1. For several terrestrial and marine reference organisms, risk quotients exceeded unity, triggering Tier 2 and Tier 3 assessments. These screening exceedances indicate that the scenarios could not be screened out as being of low radiological concern. Tier 2 identified lichens and bryophytes as the most exposed terrestrial reference organism and phytoplankton as an important marine reference organism. Tier 3 sensitivity analysis showed that uncertainty in 226Ra transfer parameters strongly controlled variability in predicted dose rates. The marine calculations represent a conservative nearshore sediment deposition scenario because radionuclide concentrations were not measured directly in seawater, marine sediment or biota. The results support improved control, monitoring and site-specific characterization of exposed NORM-containing residues in coastal environments.
Graphical abstract
磷石膏作为磷肥生产的副产品,在循环经济的原则下,已被广泛考虑在建筑材料中进行再利用。然而,PG和相关的次生化合物如偏硅酸磷酸盐通常含有天然存在的放射性核素,包括226Ra、238U和232Th,可能造成放射性危害。本研究评估了与道路建设中使用的磷酸盐工业残留物和储存在克罗托内(意大利卡拉布里亚)前沿海工业沉积物中有关的陆地和海洋辐射暴露情景。采用高分辨率伽玛射线能谱法对16个路面复合岩心和28个沉积物现场样品进行了研究。238U、226Ra和40K的最大活性浓度分别为1235 Bq kg - 1、1212 Bq kg - 1和317 Bq kg - 1。ERICA Tool使用筛选剂量率为10µGy h−1。对于一些陆地和海洋参考生物,风险商超过1,触发2级和3级评估。这些超出筛选范围的情况表明,这些情况不能作为低辐射问题而被筛选出来。第2层将地衣和苔藓植物确定为暴露最多的陆地参考生物,将浮游植物确定为重要的海洋参考生物。三级敏感性分析显示,226Ra转移参数的不确定性有力地控制了预测剂量率的可变性。海洋计算代表了保守的近岸沉积物沉积情景,因为没有直接测量海水、海洋沉积物或生物群中的放射性核素浓度。研究结果支持改善沿海环境中暴露的含norm残留物的控制、监测和特定地点表征。图形抽象
{"title":"Ecological and radiological risk assessment of natural radioactivity from phosphate industry by-products used in construction: a case study from Crotone, Italy","authors":"Chiara Imparato, Giuseppe La Verde, Fabrizio Ambrosino, Chiara de Vita, Salvatore Procopio, Carlo Sabbarese, Mariagabriella Pugliese, Marina Poje Sovilj","doi":"10.1140/epjp/s13360-026-08271-7","DOIUrl":"10.1140/epjp/s13360-026-08271-7","url":null,"abstract":"<div><p>Phosphogypsum (PG), a by-product of phosphate fertilizer production, has been widely considered for reuse in construction materials in line with the principles of the circular economy. However, PG and associated secondary compounds such as metasilicate phosphate often contain naturally occurring radionuclides, including <sup>226</sup>Ra, <sup>238</sup>U and <sup>232</sup>Th, which may pose radiological hazards. This study assesses terrestrial and marine radiological exposure scenarios associated with phosphate industry residues used in road construction and stored at a former coastal industrial deposit in Crotone (Calabria, Italy). Sixteen road-pavement composite cores and 28 deposit-site samples were investigated by high-resolution gamma-ray spectrometry. Maximum activity concentrations in the road-pavement samples reached 1235 Bq kg<sup>−1</sup> for <sup>238</sup>U, 1212 Bq kg<sup>−1</sup> for <sup>226</sup>Ra and 317 Bq kg<sup>−1</sup> for <sup>40</sup>K. The ERICA Tool was applied using a screening dose rate of 10 µGy h<sup>−1</sup>. For several terrestrial and marine reference organisms, risk quotients exceeded unity, triggering Tier 2 and Tier 3 assessments. These screening exceedances indicate that the scenarios could not be screened out as being of low radiological concern. Tier 2 identified lichens and bryophytes as the most exposed terrestrial reference organism and phytoplankton as an important marine reference organism. Tier 3 sensitivity analysis showed that uncertainty in <sup>226</sup>Ra transfer parameters strongly controlled variability in predicted dose rates. The marine calculations represent a conservative nearshore sediment deposition scenario because radionuclide concentrations were not measured directly in seawater, marine sediment or biota. The results support improved control, monitoring and site-specific characterization of exposed NORM-containing residues in coastal environments.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-026-08271-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-09DOI: 10.1140/epjp/s13360-026-08394-x
Yiran Zhu, Yuanhui Cui
This paper presented YOLO-MUBL, an enhanced YOLOv11n-based approach designed specifically for PCB defect identification tasks. The original C3k2 building block was substituted with a novel C3k2-MambaOut-UniRepLK composite module, which combined gated convolutional feature interaction with large-kernel spatial modeling to strengthen the feature representation of minute defects. Furthermore, we embedded a Bi-Level Routing Attention (BRA) module into the backbone framework, which served to preserve high-resolution spatial details and support dynamic cross-scale feature communication. We also focused on improving edge deployment efficiency. To this end, we devised a lightweight shared convolution detection head (LSCD-Head). This design achieved two major reductions: It shrank the model’s parameter budget and also lessened the computational burden during inference. Experimental findings demonstrated that YOLO-MUBL attained 94.1% mAP@ 0.5 and 50.7% mAP@ 0.5:0.95 on the PCB defect dataset, representing improvements of 2.0% and 1.3%, respectively, over the baseline model. The parameter count decreased from 2.583 to 2.278 M, and GFLOPs dropped from 6.3 to 6.2. We proceeded with deployment on the Fibocom SC171V2 edge platform. Performance evaluation showed that each frame required only 30.8 ms for inference, while the system consistently operated at 25 frames per second. These results affirmed that our approach is well suited for industrial use scenarios.
{"title":"Research and implementation of an improved YOLOv11n-based method for PCB defect detection","authors":"Yiran Zhu, Yuanhui Cui","doi":"10.1140/epjp/s13360-026-08394-x","DOIUrl":"10.1140/epjp/s13360-026-08394-x","url":null,"abstract":"<div><p>This paper presented YOLO-MUBL, an enhanced YOLOv11n-based approach designed specifically for PCB defect identification tasks. The original C3k2 building block was substituted with a novel C3k2-MambaOut-UniRepLK composite module, which combined gated convolutional feature interaction with large-kernel spatial modeling to strengthen the feature representation of minute defects. Furthermore, we embedded a Bi-Level Routing Attention (BRA) module into the backbone framework, which served to preserve high-resolution spatial details and support dynamic cross-scale feature communication. We also focused on improving edge deployment efficiency. To this end, we devised a lightweight shared convolution detection head (LSCD-Head). This design achieved two major reductions: It shrank the model’s parameter budget and also lessened the computational burden during inference. Experimental findings demonstrated that YOLO-MUBL attained 94.1% mAP@ 0.5 and 50.7% mAP@ 0.5:0.95 on the PCB defect dataset, representing improvements of 2.0% and 1.3%, respectively, over the baseline model. The parameter count decreased from 2.583 to 2.278 M, and GFLOPs dropped from 6.3 to 6.2. We proceeded with deployment on the Fibocom SC171V2 edge platform. Performance evaluation showed that each frame required only 30.8 ms for inference, while the system consistently operated at 25 frames per second. These results affirmed that our approach is well suited for industrial use scenarios.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-09DOI: 10.1140/epjp/s13360-026-08354-5
E. R. Sheha, Alaa Elbinawi, A. H. M. Solieman, H. E. Hassan
The present study comprehensively investigates the γ-ray shielding performance of recycled marble reinforced with different Sb2O3 contents. Marble powder was mixed with 20, 30, and 50 wt% Sb2O3, thoroughly homogenized, and compacted into tablets of varying thicknesses. The elemental composition of the prepared composites was verified by X-ray fluorescence (XRF), while their attenuation characteristics were experimentally evaluated using narrow-beam transmission geometry with 13⁷Cs (662 keV) and ⁶⁰Co (1173 and 1332 keV) γ-ray sources. The transmitted radiation was measured using a NaI(Tl) scintillation detector coupled to a multichannel analyzer, and the linear and mass attenuation coefficients were determined from the Beer–Lambert law. The experimental results were compared with theoretical predictions obtained from the NIST XCOM and Phy-X/PSD using the XRF-derived compositions. The results demonstrated that incorporating Sb2O3 significantly enhanced the γ-ray shielding performance compared with undoped marble. A nonlinear dependence of the shielding performance on Sb2O3 content was observed, where the addition of 20 wt% Sb2O3 markedly improved the mass attenuation coefficient, whereas further increasing the Sb2O3 content to 50 wt% produced only marginal additional improvement. This saturation behavior is attributed to the predominance of Compton scattering in the investigated energy range. At 662 keV, the SB50 composite exhibited a mass attenuation coefficient approximately 87% that of pure lead and approximately 28% higher than that of conventional concrete. These findings demonstrate the potential of marble/ Sb2O3 composites as sustainable, lead-free, and cost-effective materials for γ-ray shielding applications.
{"title":"Studying the shielding properties of marble incorporated with different percentages of Sb2O3","authors":"E. R. Sheha, Alaa Elbinawi, A. H. M. Solieman, H. E. Hassan","doi":"10.1140/epjp/s13360-026-08354-5","DOIUrl":"10.1140/epjp/s13360-026-08354-5","url":null,"abstract":"<div><p>The present study comprehensively investigates the γ-ray shielding performance of recycled marble reinforced with different Sb<sub>2</sub>O<sub>3</sub> contents. Marble powder was mixed with 20, 30, and 50 wt% Sb<sub>2</sub>O<sub>3</sub>, thoroughly homogenized, and compacted into tablets of varying thicknesses. The elemental composition of the prepared composites was verified by X-ray fluorescence (XRF), while their attenuation characteristics were experimentally evaluated using narrow-beam transmission geometry with <sup>13</sup>⁷Cs (662 keV) and ⁶⁰Co (1173 and 1332 keV) γ-ray sources. The transmitted radiation was measured using a NaI(Tl) scintillation detector coupled to a multichannel analyzer, and the linear and mass attenuation coefficients were determined from the Beer–Lambert law. The experimental results were compared with theoretical predictions obtained from the NIST XCOM and Phy-X/PSD using the XRF-derived compositions. The results demonstrated that incorporating Sb<sub>2</sub>O<sub>3</sub> significantly enhanced the γ-ray shielding performance compared with undoped marble. A nonlinear dependence of the shielding performance on Sb<sub>2</sub>O<sub>3</sub> content was observed, where the addition of 20 wt% Sb<sub>2</sub>O<sub>3</sub> markedly improved the mass attenuation coefficient, whereas further increasing the Sb<sub>2</sub>O<sub>3</sub> content to 50 wt% produced only marginal additional improvement. This saturation behavior is attributed to the predominance of Compton scattering in the investigated energy range. At 662 keV, the SB50 composite exhibited a mass attenuation coefficient approximately 87% that of pure lead and approximately 28% higher than that of conventional concrete. These findings demonstrate the potential of marble/ Sb<sub>2</sub>O<sub>3</sub> composites as sustainable, lead-free, and cost-effective materials for γ-ray shielding applications.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-08DOI: 10.1140/epjp/s13360-026-08393-y
Tongkai Gu, Zekun Zhang, Anjiang Cai
This study proposes an all-dielectric composite nanograting structure comprising a TiO2 subwavelength grating and a SiO2/TiO2 multilayer dielectric film, designed to achieve high-reflectance modulation and refractive index (RI) sensing in the visible spectrum. A theoretical model was established based on the effective medium theory (EMT) and the transfer matrix method (TMM). Furthermore, the finite-difference time-domain (FDTD) method was employed to systematically analyze the effects of the number of multilayer periods, duty cycle, and grating height on the reflection spectra. The results indicate that the bottom multilayer film significantly enhances the optical feedback. Specifically, when the number of periods reaches N = 5, the structure achieves a maximum reflectance of over 99%. Variations in the duty cycle and grating height can effectively tune the resonance wavelength while maintaining a stable Fano resonance lineshape. The proposed structure achieves a RI sensitivity of 465.97 nm/RIU within the ambient RI range of nc = 1.33–1.37, alongside a quality factor of 153.3, demonstrating a highly linear response and excellent application potential.
{"title":"High-reflectance modulation and refractive index sensing of all-dielectric composite nanogratings in the visible spectrum","authors":"Tongkai Gu, Zekun Zhang, Anjiang Cai","doi":"10.1140/epjp/s13360-026-08393-y","DOIUrl":"10.1140/epjp/s13360-026-08393-y","url":null,"abstract":"<div><p>This study proposes an all-dielectric composite nanograting structure comprising a TiO<sub>2</sub> subwavelength grating and a SiO<sub>2</sub>/TiO<sub>2</sub> multilayer dielectric film, designed to achieve high-reflectance modulation and refractive index (RI) sensing in the visible spectrum. A theoretical model was established based on the effective medium theory (EMT) and the transfer matrix method (TMM). Furthermore, the finite-difference time-domain (FDTD) method was employed to systematically analyze the effects of the number of multilayer periods, duty cycle, and grating height on the reflection spectra. The results indicate that the bottom multilayer film significantly enhances the optical feedback. Specifically, when the number of periods reaches <i>N</i> = 5, the structure achieves a maximum reflectance of over 99%. Variations in the duty cycle and grating height can effectively tune the resonance wavelength while maintaining a stable Fano resonance lineshape. The proposed structure achieves a RI sensitivity of 465.97 nm/RIU within the ambient RI range of <i>n</i><sub>c</sub> = 1.33–1.37, alongside a quality factor of 153.3, demonstrating a highly linear response and excellent application potential.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate exact three-dimensional vortex solitons in nonlinear media with transverse modulation potentials and inhomogeneous cubic–quintic nonlinearities. By separating variables in spherical coordinates, we derive analytical solutions to the governing nonlinear wave equation, expressed via Jacobi elliptic functions and parameterized by quantum numbers (n), (ell), and (m). A variety of structures are revealed, including multilayer ellipsoids, toroidal rings, hollow vortices, and symmetric multipolar patterns. Numerical simulations show that solitons with (n = 1) and (ell = 0, 1) are stable, while those with (ell ge 2) or (n ge 2) are unstable. Our results may useful for the generation and control of three-dimensional vortex solitons in nonlinear optics and Bose–Einstein condensates.
研究了具有横向调制势和非齐次三次五次非线性的非线性介质中的精确三维涡旋孤子。通过在球坐标中分离变量,我们推导出控制非线性波动方程的解析解,该方程通过Jacobi椭圆函数表示,并由量子数(n), (ell)和(m)参数化。揭示了多种结构,包括多层椭球、环面环、空心涡和对称多极图案。数值模拟表明,含有(n = 1)和(ell = 0, 1)的孤子是稳定的,而含有(ell ge 2)或(n ge 2)的孤子是不稳定的。本文的研究结果对非线性光学和玻色-爱因斯坦凝聚体中三维涡旋孤子的产生和控制具有指导意义。
{"title":"Exact three-dimensional vortex solitons in transversely modulated nonlinear media with inhomogeneous cubic–quintic nonlinearities","authors":"Wen-Wu Deng, Zixuan Yang, Jiangli Feng, Zhenglong Hu, Yuan Zhao, Jun-Rong He","doi":"10.1140/epjp/s13360-026-08398-7","DOIUrl":"10.1140/epjp/s13360-026-08398-7","url":null,"abstract":"<div><p>We investigate exact three-dimensional vortex solitons in nonlinear media with transverse modulation potentials and inhomogeneous cubic–quintic nonlinearities. By separating variables in spherical coordinates, we derive analytical solutions to the governing nonlinear wave equation, expressed via Jacobi elliptic functions and parameterized by quantum numbers <span>(n)</span>, <span>(ell)</span>, and <span>(m)</span>. A variety of structures are revealed, including multilayer ellipsoids, toroidal rings, hollow vortices, and symmetric multipolar patterns. Numerical simulations show that solitons with <span>(n = 1)</span> and <span>(ell = 0, 1)</span> are stable, while those with <span>(ell ge 2)</span> or <span>(n ge 2)</span> are unstable. Our results may useful for the generation and control of three-dimensional vortex solitons in nonlinear optics and Bose–Einstein condensates.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-08DOI: 10.1140/epjp/s13360-026-08378-x
Mohamed Zikriya, K. Mohammed Salman, G. Jagannath, A. G. Pramod, Pantrangi Manasa, C. G. Renuka
Study delves into the multifaceted properties of Tb3+-doped TiO2 nanomaterials synthesized via hydrothermal process at 160 °C. The photoluminescence studies unveil a remarkable enhancement in luminescent properties attributed to efficient energy transfer mechanisms from the host matrix to terbium ions. The role of concentration in modulating non-radiative energy transfer processes, facilitating direct excitation of terbium ions for enhanced performance, has been highlighted. Emission spectral outcomes at the excitation of 350 nm showcase an exceptional color purity of 96.7% is corroborated by Commission Internationale de l’Eclairage (CIE) chart analysis, which demonstrates adherence to National Television System Committee (NTSC) standards with coordinates (0.31, 0.57). Such outstanding color purity positions the studied nanophosphors as promising contenders for a wide array of applications, spanning lighting, displays, and green laser technology. In essence, the comprehensive optical characterizations presented in this study underscore the remarkable suitability of Tb3+-doped TiO2 nanophosphors for diverse technological applications, heralding a new era of innovation in materials science, optoelectronics, and photonics.
{"title":"Tailoring the green emission in TiO2:Tb3+ nanopowders for enhanced solid-state lighting applications","authors":"Mohamed Zikriya, K. Mohammed Salman, G. Jagannath, A. G. Pramod, Pantrangi Manasa, C. G. Renuka","doi":"10.1140/epjp/s13360-026-08378-x","DOIUrl":"10.1140/epjp/s13360-026-08378-x","url":null,"abstract":"<div><p>Study delves into the multifaceted properties of Tb<sup>3+</sup>-doped TiO<sub>2</sub> nanomaterials synthesized via hydrothermal process at 160 °C. The photoluminescence studies unveil a remarkable enhancement in luminescent properties attributed to efficient energy transfer mechanisms from the host matrix to terbium ions. The role of concentration in modulating non-radiative energy transfer processes, facilitating direct excitation of terbium ions for enhanced performance, has been highlighted. Emission spectral outcomes at the excitation of 350 nm showcase an exceptional color purity of 96.7% is corroborated by Commission Internationale de l’Eclairage (CIE) chart analysis, which demonstrates adherence to National Television System Committee (NTSC) standards with coordinates (0.31, 0.57). Such outstanding color purity positions the studied nanophosphors as promising contenders for a wide array of applications, spanning lighting, displays, and green laser technology. In essence, the comprehensive optical characterizations presented in this study underscore the remarkable suitability of Tb<sup>3+</sup>-doped TiO<sub>2</sub> nanophosphors for diverse technological applications, heralding a new era of innovation in materials science, optoelectronics, and photonics.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-07DOI: 10.1140/epjp/s13360-026-08331-y
Francisco J. Solis, Hugo García-Compeán
We study the response of axion topological materials under the presence of external static electric and magnetic fields. We focus on the macroscopic quasi-static magnetoelectric response of topological insulators. We use techniques based on surface variables that have been previously employed in soft condensed matter problems for the description of heterogeneous systems composed of multiple homogeneous materials. A complete description of the whole system is written in terms of surface degrees of freedom, which in this case correspond to effective surface charge and surface current densities. We obtain a set of integral equations satisfied by these variables. We present exact analytic solutions for axial-symmetric cases. We develop a numerical method for the solution of the integral equations by means of a boundary finite element method. We apply the numerical method to topological insulators with different geometries such as spheres, hollow spheres and toroidal surfaces. We show that a variational principle can be used to recover the surface variables equations.
{"title":"Surface variables description of axion topological materials","authors":"Francisco J. Solis, Hugo García-Compeán","doi":"10.1140/epjp/s13360-026-08331-y","DOIUrl":"10.1140/epjp/s13360-026-08331-y","url":null,"abstract":"<p>We study the response of axion topological materials under the presence of external static electric and magnetic fields. We focus on the macroscopic quasi-static magnetoelectric response of topological insulators. We use techniques based on surface variables that have been previously employed in soft condensed matter problems for the description of heterogeneous systems composed of multiple homogeneous materials. A complete description of the whole system is written in terms of surface degrees of freedom, which in this case correspond to effective surface charge and surface current densities. We obtain a set of integral equations satisfied by these variables. We present exact analytic solutions for axial-symmetric cases. We develop a numerical method for the solution of the integral equations by means of a boundary finite element method. We apply the numerical method to topological insulators with different geometries such as spheres, hollow spheres and toroidal surfaces. We show that a variational principle can be used to recover the surface variables equations.</p>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}