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Probing neutron-emission resonances of kaonic nuclei with the complex momentum representation method 复动量表示法探测kaonic核的中子发射共振
IF 3 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-09-28 DOI: 10.1140/epja/s10050-026-01964-8
Niu Li, Jin-Xin Wang, Wei-Zheng Wang, Xiang-Fei Wei, Lei Xu, Hui Li

We systematically investigate the resonant states of kaonic nuclei using the relativistic mean-field complex momentum representation (RMF–CMR) method. Validation with different integration contours confirms that the RMF–CMR method is effective and reliable for calculating resonant states in kaonic nuclei. The strong (K^-)-nucleon attraction in light kaonic nuclei induces a pronounced core compression effect and a sharp increase in nuclear potential depth; this effect weakens as the nucleon number increases. A new (1d_{5/2}) resonant state is identified just above the neutron continuum threshold in (^{13}_{K^-}) C; its single-particle density is strongly extended at finite distances, exhibiting a halo-like spatial distribution in the light kaonic nucleus. We also find that nuclear matter softening shifts d-orbital resonant levels closer to the continuum threshold and generally weakens their coupling to the continuum, and the (1d_{5/2}) state, lying much closer to the continuum threshold than the (1d_{3/2}) state under the common (ell =2) centrifugal barrier owing to the spin-orbit splitting, retains an extremely narrow width over the whole investigated parameter range and is more sensitive to nuclear matter softening. The widths discussed in this work refer to the neutron-emission widths of single-particle shape resonances; the mesonic (bar{K}N) decay of the kaonic nucleus itself is not included.

利用相对论平均场复动量表示(RMF-CMR)方法系统地研究了kaonic核的共振态。不同积分轮廓的验证验证了RMF-CMR方法计算kaonic核共振态的有效性和可靠性。在轻kaonic核中,强烈的(K^-) -核子吸引引起了明显的核压缩效应和核势深度的急剧增加;这种效应随着核子数的增加而减弱。在(^{13}_{K^-}) C中发现了一个新的(1d_{5/2})共振态,刚好在中子连续谱阈值之上;它的单粒子密度在有限距离上被强烈扩展,在光粒子核中表现出晕状的空间分布。我们还发现,核物质软化使d轨道共振能级更接近连续统阈值,并且通常会减弱它们与连续统的耦合,并且(1d_{5/2})状态由于自旋轨道分裂而比常见(ell =2)离心力屏障下的(1d_{3/2})状态更接近连续统阈值,在整个研究参数范围内保持极窄的宽度,并且对核物质软化更敏感。本文讨论的宽度是指单粒子形状共振的中子发射宽度;介子核本身的(bar{K}N)衰变不包括在内。
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引用次数: 0
Systematic VQE benchmarking of the deuteron, triton, and helium-3 within lattice pionless effective field theory 栅格无点阵有效场论中氘核、海合子和氦-3的系统VQE基准测试
IF 3 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-09-24 DOI: 10.1140/epja/s10050-026-01939-9
Pınar Çifci, Serkan Akkoyun, Lloyd La Ronde

We investigate the performance of quantum algorithms for light nuclear systems by studying the deuteron (2H), triton (3H), and helium-3 (3He) nuclei within a lattice formulation of pionless effective field theory (EFT). We first compute ground-state energies using classical exact diagonalization (ED), serving as a benchmark reference for variational quantum algorithms. We then perform Variational Quantum Eigensolver (VQE) calculations using noiseless statevector simulations of quantum circuits, enabling a controlled assessment of algorithmic performance in the absence of hardware-induced noise. We calibrate the two-body low-energy constant using the deuteron system and fit the three-body interaction strength to the triton, then consistently apply the resulting Hamiltonian parameters to the helium-3 nucleus. Our VQE calculations employ physically motivated ansätze targeting the relevant particle-number sectors, with explicit particle-number-conserving constructions implemented for the triton and helium-3 systems. The variational optimization includes an analysis of the Hamiltonian energy variance, ⟨H2⟩−⟨H⟩2, providing insight into convergence behavior and the quality of the variational states. The deuteron VQE energy agrees with the ED reference within the reported numerical precision, whereas the triton and helium-3 calculations retain deviations of 0.1016 MeV and 0.1128 MeV, respectively, together with nonzero Hamiltonian variances. The results therefore provide a controlled, one-dimensional small-system benchmark of the implemented VQE workflow rather than a demonstration of quantum advantage, scalability, or independent validation of the nuclear interaction. Additionally, we perform noisy evaluations of noiseless-optimized triton circuits using a depolarizing noise model to illustrate the impact of representative Noisy Intermediate-Scale Quantum (NISQ)-era hardware noise on variational energy estimation.

我们通过研究氘核(2H)、海合子(3H)和氦-3 (3He)原子核在无点阵有效场论(EFT)晶格公式中的量子算法来研究轻核系统的性能。我们首先使用经典精确对角化(ED)计算基态能量,作为变分量子算法的基准参考。然后,我们使用量子电路的无噪声状态向量模拟执行变分量子特征求解器(VQE)计算,从而在没有硬件诱导噪声的情况下对算法性能进行可控评估。我们使用氘核系统校准了两体低能常数,并将三体相互作用强度拟合到海卫一上,然后将得到的哈密顿参数一致地应用到氦-3核上。我们的VQE计算采用物理动机ansätze,目标是相关的粒子数扇区,并为triton和氦-3系统实现了明确的粒子数守恒结构。变分优化包括对哈密顿能量方差的分析,⟨H2⟩-⟨H⟩2,提供对收敛行为和变分状态质量的洞察。氘核的VQE能量在报告的数值精度范围内与ED参考值一致,而triton和氦-3的计算分别保留了0.1016 MeV和0.1128 MeV的偏差,并具有非零哈密顿方差。因此,研究结果为实现的VQE工作流提供了一个可控的一维小系统基准,而不是量子优势、可扩展性或核相互作用的独立验证的演示。此外,我们使用去极化噪声模型对无噪声优化的triton电路进行噪声评估,以说明具有代表性的噪声中尺度量子(NISQ)时代硬件噪声对变分能量估计的影响。
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引用次数: 0
Symmetry-preserving calculation of pion light-front wave functions 介子光前波函数的对称性保持计算
IF 3 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-09-23 DOI: 10.1140/epja/s10050-026-01953-x
Z.-Q. Yao, Z.-N. Xu, Y.-Y. Xiao, C. D. Roberts, J. Rodríguez-Quintero

Poincaré-covariant Bethe–Salpeter wave functions are used to calculate light-front wave functions (LFWFs) of the pion, (pi ), and an analogue state, (pi _{sbar{s}}). The current masses of the degenerate valence constituents in the (pi _{sbar{s}}) are around 25-times larger than those of the pion’s valence constituents. Both valence spin-antialigned () and spin-aligned () components are obtained and combined to produce the complete LFWF for each system. Comparing predictions delivered by two distinct Bethe–Salpeter kernels, the impact of nonperturbative dynamical effects contained in the more sophisticated (bRL) kernel are seen to be significant; and contrasts between (pi ), (pi _{s bar{s}}) results reveal the interplay between emergent hadron mass and mass effects owing to Higgs-boson couplings. Amongst the results, one finds that for (pi ), (pi _{sbar{s}}), the LFWFs can be approximated by a separable form, with that representation being pointwise reliable in the bRL cases. Moreover, the component is important; so a LFWF obtained after omission of this piece is typically a poor representation of the system. These features are naturally expressed in (pi , pi _{sbar{s}}) transverse momentum dependent parton distribution functions (TMDs). In this connection, it is found that a Gaussian Ansatz can only provide a rough guide to TMD pointwise behaviour: magnitude deviations between Ansatz and prediction exceed a factor of two on (k_perp ^2 gtrsim 0.55,text { GeV}^2). One should therefore be cautious in interpreting conclusions drawn from phenomenological analyses based upon Gaussian Ansätze.

用poincar协变Bethe-Salpeter波函数计算介子(pi )和模拟态(pi _{sbar{s}})的光前波函数(lfwf)。(pi _{sbar{s}})中简并价元的电流质量大约是介子的价元的25倍。得到了价自旋反对准()和自旋对准()分量,并将它们组合在一起,生成了每个体系的完整LFWF。比较两种不同的贝特-萨尔皮特核所提供的预测,包含在更复杂(bRL)核中的非摄动动力学效应的影响被认为是显著的;和(pi ), (pi _{s bar{s}})之间的对比结果揭示了由于希格斯-玻色子耦合导致的突现强子质量和质量效应之间的相互作用。在结果中,人们发现对于(pi ), (pi _{sbar{s}}), lfwf可以用可分离形式近似,该表示在bRL情况下是点可靠的。此外,组件很重要;因此,省略这一部分后获得的LFWF通常是系统的较差表示。这些特征自然地表示在(pi , pi _{sbar{s}})横向动量相关的部分分布函数(TMDs)。在这方面,发现高斯Ansatz只能提供TMD点行为的粗略指导:在(k_perp ^2 gtrsim 0.55,text { GeV}^2)上,Ansatz和预测之间的量级偏差超过了两个因子。因此,在解释基于高斯理论的现象学分析得出的结论时应谨慎Ansätze。
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引用次数: 0
Hadronic vacuum polarization in hydrogen-like atoms and ions amid the interplay of recoil and finite-size effects 在反冲和有限尺寸效应的相互作用下,类氢原子和离子中的强子真空极化
IF 3 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-09-23 DOI: 10.1140/epja/s10050-026-01956-8
Franziska Hagelstein, Vadim Lensky, Bogdan Malaescu, Vladimir Pascalutsa

Hadronic vacuum polarization (hVP) enters simple atomic systems at a level that is small yet decisive for the precision spectroscopy now underway. We evaluate the hVP contributions to the Lamb shift and the hyperfine splitting (HFS) in ordinary and muonic hydrogen (H and (mu )H) and hydrogen-like helium-3 ions ((^3)He(^+) and (mu ^3)He(^+)), using the dispersive data-driven approach and state-of-the-art empirical parametrizations of the R ratio. At the centre of the analysis is the interplay of recoil and finite-size effects: the recoil corrections that dominate the HFS in muonium (Mu), where both constituents are pointlike, are shown to be suppressed by the nuclear elastic form factors (FFs). Our results for the leading hVP contribution to the Lamb shift agree with the literature within uncertainties. Furthermore, we present a first evaluation of the subleading (O(Z^5alpha ^6)) hVP-finite-size correction, which is by no means negligible in (mu ^3)He(^+). Our results for the hVP contribution to the HFS in H, (mu )H, and (mu ^3)He(^+) deviate significantly from previous evaluations. For the ground-state HFS, we obtain 2.153(11) (upmu )eV in (mu )H and (-15.19(57)) (upmu )eV in (mu ^3)He(^+), as well as 0.0860(4) kHz and (-0.476(17)) kHz in ordinary H and (^3)He(^+), respectively. Notably, our result for (mu )H differs from previous evaluations by roughly ten times the experimental precision anticipated by the upcoming CREMA and FAMU measurements.

强子真空极化(hVP)进入简单原子系统的水平很小,但对目前正在进行的精密光谱学具有决定性意义。我们评估了hVP对普通氢和介子氢的Lamb位移和超精细分裂(HFS)的贡献 (mu )H)和类氢氦-3离子((^3)他(^+) 和 (mu ^3)他(^+)),使用弥散数据驱动方法和最先进的R比率经验参数化。分析的核心是反冲和有限尺寸效应的相互作用:在μ子(Mu)中主导HFS的反冲修正被核弹性形状因子(FFs)抑制,而μ子(Mu)的两个成分都是点状的。我们的研究结果表明,在不确定的范围内,hVP对兰姆位移的主要贡献与文献一致。此外,我们提出了第一次评估的副领导 (O(Z^5alpha ^6)) hvp有限大小的修正,这在 (mu ^3)他(^+). 我们对hVP对HFS的贡献的结果, (mu )H,和 (mu ^3)他(^+) 显著偏离先前的评估。对于基态HFS,我们得到2.153(11)(upmu )eV in (mu )H和 (-15.19(57)) (upmu )eV in (mu ^3)他(^+),以及0.0860(4)kHz和 (-0.476(17))千赫在普通H和 (^3)他(^+),分别。值得注意的是,我们的结果 (mu )H与之前的评估相差大约10倍于即将到来的CREMA和FAMU测量所预期的实验精度。
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引用次数: 0
Conceptual design of a heavy-water-moderated “(^{3})He+CF(_4)” scintillation neutron detector for nuclear astrophysics measurement 用于核天体物理测量的重水慢化“(^{3}) He+CF (_4)”闪烁中子探测器概念设计
IF 3 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-09-18 DOI: 10.1140/epja/s10050-026-01960-y
Jianqi Chen, Junsheng Jing, Yongce Gong

Accurate measurement of critical data for astrophysical modeling, such as ((alpha ), n) and ((gamma ), n) cross-sections and (beta )-delayed neutron emission probabilities, depends heavily on overcoming the low and energy/emission-angle-dependent efficiency of current polyethylene-moderated (^3)He neutron detectors. We proposed a novel detector that replaces polyethylene with a large spherical heavy-water-moderator and substitutes (^3)He tubes with a layer of “(^3)He + CF(_4)” scintillation gas coupled to photomultipliers for thermal neutron detection. Simulations performed with MCNPX under varied moderator configurations show that a design employing 7.0 cm boron-11, 0.9 cm beryllium, and 50.0 cm heavy water achieves a neutron capture efficiency of 85.1%, with less sensitivity to neutron energy and emission angle. The newly designed neutron detector demonstrates its potential to replace the conventional polyethylene moderated (^{3})He neutron detector and may enable the researchers to make accurate measurements of ((alpha ), n), ((gamma ), n) cross-sections and (beta )-delayed neutron emission probabilities.

精确测量天体物理建模的关键数据,如((alpha ), n)和((gamma ), n)截面和(beta ) -延迟中子发射概率,在很大程度上取决于克服当前聚乙烯慢化(^3) He中子探测器的低效率和能量/发射角依赖的效率。我们提出了一种新的探测器,用一个大的球形重水减速剂代替聚乙烯,并用一层“(^3) He + CF (_4)”闪烁气体代替(^3) He管,耦合到光电倍增管进行热中子探测。MCNPX在不同慢化剂配置下的模拟表明,采用7.0 cm硼-11、0.9 cm铍和50.0 cm重水的设计,中子捕获效率为85.1%, with less sensitivity to neutron energy and emission angle. The newly designed neutron detector demonstrates its potential to replace the conventional polyethylene moderated (^{3})He neutron detector and may enable the researchers to make accurate measurements of ((alpha ), n), ((gamma ), n) cross-sections and (beta )-delayed neutron emission probabilities.
{"title":"Conceptual design of a heavy-water-moderated “(^{3})He+CF(_4)” scintillation neutron detector for nuclear astrophysics measurement","authors":"Jianqi Chen,&nbsp;Junsheng Jing,&nbsp;Yongce Gong","doi":"10.1140/epja/s10050-026-01960-y","DOIUrl":"10.1140/epja/s10050-026-01960-y","url":null,"abstract":"<div><p>Accurate measurement of critical data for astrophysical modeling, such as (<span>(alpha )</span>, n) and (<span>(gamma )</span>, n) cross-sections and <span>(beta )</span>-delayed neutron emission probabilities, depends heavily on overcoming the low and energy/emission-angle-dependent efficiency of current polyethylene-moderated <span>(^3)</span>He neutron detectors. We proposed a novel detector that replaces polyethylene with a large spherical heavy-water-moderator and substitutes <span>(^3)</span>He tubes with a layer of “<span>(^3)</span>He + CF<span>(_4)</span>” scintillation gas coupled to photomultipliers for thermal neutron detection. Simulations performed with MCNPX under varied moderator configurations show that a design employing 7.0 cm boron-11, 0.9 cm beryllium, and 50.0 cm heavy water achieves a neutron capture efficiency of 85.1%, with less sensitivity to neutron energy and emission angle. The newly designed neutron detector demonstrates its potential to replace the conventional polyethylene moderated <span>(^{3})</span>He neutron detector and may enable the researchers to make accurate measurements of (<span>(alpha )</span>, n), (<span>(gamma )</span>, n) cross-sections and <span>(beta )</span>-delayed neutron emission probabilities.</p></div>","PeriodicalId":786,"journal":{"name":"The European Physical Journal A","volume":"62 9","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148986783","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}
引用次数: 0
Effects of the symmetry energy slope on the exotic content of the neutron stars 对称能量斜率对中子星奇异含量的影响
IF 3 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-09-17 DOI: 10.1140/epja/s10050-026-01940-2
Luiz L. Lopes

By varying the symmetry energy slope (L), I investigate how the exotic content within the interiors of neutron stars changes and how it affects both macroscopic and microscopic quantities. Using two different parametrizations (L3(omega rho ) and BigApple), and three different possibilities about the neutron star core (nucleons + hyperons, nucleons+deltas, nucleons + hyperons + deltas), I show that, for the models analyzed in this work, changing the slope barely changes the amount of hyperons, but it can strongly suppress the (Delta ) resonances for large values of L. I also show that, in general, the presence of exotic content will be more evident for lower values of L than for large ones. Differences and similarities between the two parametrizations are also analyzed.

通过改变对称能量斜率(L),我研究了中子星内部的奇异成分如何变化,以及它如何影响宏观和微观量。使用两种不同的参数化(L3 (omega rho )和BigApple),以及中子星核心的三种不同可能性(核子+超子,核子+ δ,核子+超子+ δ),我表明,对于本工作所分析的模型,改变斜率几乎不会改变超子的数量,但它可以强烈地抑制l大值的(Delta )共振。当L值较低时,外来成分的存在会比L值较大时更为明显。分析了两种参数化的异同。
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引用次数: 0
Correction: The electromagnetic decay of (^{250m})No and the stability of neutron deficient Rf isotopes 修正:(^{250m}) No的电磁衰减和缺中子Rf同位素的稳定性
IF 3 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-09-17 DOI: 10.1140/epja/s10050-026-01961-x
A. Lopez-Martens, K. Hauschild, R. Chakma, M. L. Chelnokov, V. I. Chepigin, O. Dorvaux, B. J. P. Gall, A. V. Isaev, I. N. Izosimov, D. E. Katrasev, K. Kessaci, A. A. Kuznetsova, O. N. Malyshev, A. G. Popeko, Yu. A. Popov, E. A. Sokol, A. I. Svirikhin, M. S. Tezekbayeva, A. V. Yeremin
{"title":"Correction: The electromagnetic decay of (^{250m})No and the stability of neutron deficient Rf isotopes","authors":"A. Lopez-Martens,&nbsp;K. Hauschild,&nbsp;R. Chakma,&nbsp;M. L. Chelnokov,&nbsp;V. I. Chepigin,&nbsp;O. Dorvaux,&nbsp;B. J. P. Gall,&nbsp;A. V. Isaev,&nbsp;I. N. Izosimov,&nbsp;D. E. Katrasev,&nbsp;K. Kessaci,&nbsp;A. A. Kuznetsova,&nbsp;O. N. Malyshev,&nbsp;A. G. Popeko,&nbsp;Yu. A. Popov,&nbsp;E. A. Sokol,&nbsp;A. I. Svirikhin,&nbsp;M. S. Tezekbayeva,&nbsp;A. V. Yeremin","doi":"10.1140/epja/s10050-026-01961-x","DOIUrl":"10.1140/epja/s10050-026-01961-x","url":null,"abstract":"","PeriodicalId":786,"journal":{"name":"The European Physical Journal A","volume":"62 9","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148986682","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}
引用次数: 0
Topical collection on clustering as a window on the hierarchical structure of quantum systems 关于聚类作为量子系统层次结构窗口的专题集合
IF 3 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-09-17 DOI: 10.1140/epja/s10050-026-01955-9
Takashi Nakamura, Hiroaki Ohnishi, Munekazu Horikoshi, Emiko Hiyama

The question of why quantum matter exhibits hierarchical structures—from quarks, hadrons, and nuclei to atoms and molecules—is one of the fundamental problems in modern physics, yet it has not been widely discussed in a unified manner. One reason may be that each hierarchical level has traditionally been studied independently, and apparent connections between different scales were not clearly recognized. On the other hand, the concept of “clusters” may provide a common framework linking these hierarchical regimes. Namely, a cluster formed within one hierarchy can itself become a constituent particle in the next hierarchy, as nucleons in the hadronic hierarchy form atomic nuclei.

为什么量子物质表现出层次结构——从夸克、强子、原子核到原子和分子——这个问题是现代物理学的基本问题之一,但它还没有以统一的方式得到广泛讨论。其中一个原因可能是,传统上每个等级水平都是独立研究的,不同等级之间的明显联系没有被清楚地认识到。另一方面,“集群”的概念可以提供一个连接这些等级制度的共同框架。也就是说,在一个层次中形成的团簇本身可以成为下一个层次中的组成粒子,就像强子层次中的核子形成原子核一样。
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引用次数: 0
Quantum computing solution of the Bethe–Salpeter equation for relativistic scalar bound states via tensor-network VQE 基于张量网络VQE的相对论标量束缚态Bethe-Salpeter方程的量子计算解
IF 3 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-09-16 DOI: 10.1140/epja/s10050-026-01957-7
Gerhard Hellstern

We present a gate-based quantum computing solution of the homogeneous Bethe–Salpeter equation (hBSE) for the bound state of two massive relativistic scalar particles interacting via ladder-approximation scalar exchange. After Wick rotation to Euclidean space and O(4) S-wave partial-wave projection, the hBSE is reduced to a symmetric matrix eigenvalue problem of dimension (N = 2^n). We decompose the resulting Hamiltonian into a sum of n-qubit Pauli operators and solve it with the Variational Quantum Eigensolver (VQE) using a Matrix Product State (MPS) tensor-network ansatz. For (N=16) ((n=4) qubits), the VQE recovers the maximum eigenvalue – which encodes the minimum coupling constant for binding – to better than (1%) mean relative error compared to classical diagonalization. Entanglement analysis of the BSE amplitude shows low, area-law-like entanglement over the tested sizes, which motivates the MPS ansatz. A critical analysis of three independent barriers – exponential Pauli overhead, approximately size-independent low entanglement, and decreasing VQE gradient scales for the tested ansatz, consistent with generic barren-plateau concerns at larger n – reveals that the specific problem studied here lies in a classically tractable regime: over the tested range it is well described by low-bond-dimension tensor networks and efficiently handled by MPS/Lanczos methods. This negative result provides, to our knowledge, the first entanglement quantification of the BSE amplitude in qubit encoding, establishes the Pauli Hamiltonian framework for future BSE variants, and identifies 2D Minkowski-space BSE, N-body bound states, and non-ladder kernels as physically motivated extensions where genuine quantum advantage may become plausible.

本文给出了两个大质量相对论标量粒子通过阶梯近似标量交换相互作用的束缚态齐次Bethe-Salpeter方程(hBSE)的一种基于门的量子计算解。在Wick旋转到欧氏空间并进行O(4) s波部分波投影后,hBSE被简化为一个维数为(N = 2^n)的对称矩阵特征值问题。我们将得到的哈密顿量分解为n量子位泡利算子的和,并使用矩阵积态张量-网络解析的变分量子本征求解器(VQE)进行求解。对于(N=16) ((n=4)量子位),VQE恢复了最大特征值(编码绑定的最小耦合常数),与经典对角化相比,其平均相对误差优于(1%)。BSE振幅的纠缠分析显示,在测试尺寸上,低的,类似面积定律的纠缠,这激发了MPS的分析。对三个独立的势垒——指数泡利开销,近似大小无关的低纠缠,以及测试ansatz的减小的VQE梯度尺度,在更大n下与一般的不连续高原问题一致——的关键分析表明,这里研究的具体问题是一个经典的可处理的制度:在测试范围内,它被低键维张量网络很好地描述,并被MPS/Lanczos方法有效地处理。据我们所知,这一负面结果提供了量子比特编码中BSE振幅的第一个纠缠量化,为未来的BSE变体建立了泡利哈密顿框架,并确定了二维闵可夫斯基空间BSE, n体束缚态和非阶梯核作为物理动机的扩展,其中真正的量子优势可能变得合理。
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引用次数: 0
Measurement of double differential thick target neutron yields for 500 MeV/u (^9)Be incident on a lead target 500 MeV/u双差厚靶中子产率的测量(^9)铅靶上Be的入射
IF 3 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2026-09-16 DOI: 10.1140/epja/s10050-026-01962-w
Qin Li, Zhiqiang Chen, Rui Han, Bingyan Liu, Guoyu Tian, Hui Sun, Xin Zhang, Fudong Shi, Zekun Zhang, Peiyan Zhang

The double differential thick target neutron yields (TTNY) for 500 MeV/u (^9)Be ions incident on a lead target were measured at emission angles from (0^{circ }) to (75^{circ }) using the time-of-flight (TOF) method with organic liquid scintillators. The angular distribution of neutron yields was obtained by integrating the neutron energy spectrum above the detection threshold. The experimental data were then compared with results calculated using the Monte Carlo simulation codes GEANT4, PHITS, and FLUKA with different physics models. The results show that the neutron energy spectrum in the forward direction exhibits a broad peak centered around 60–70% of the incident particle energy per nucleon and spread up to nearly twice the projectile energy per nucleon. All calculations overestimate the neutron yields near this broad peak except at (0^{circ },) and overestimate the neutron energy corresponding to the peak center at all angles. The GEANT4 results show good agreement with the experimental data from a few tens of MeV to around 100 MeV at angles from (5^{circ }) to (60^{circ },) while PHITS and FLUKA results slightly overestimate the yields. Regarding the angular distribution, the predictions from GEANT4, PHITS, and FLUKA differ from the experimental data by less than a factor of 2 except at (75^{circ }.)

采用飞行时间(TOF)方法,用有机液体闪烁体测量了500 MeV/u (^9) Be离子在(0^{circ }) ~ (75^{circ })发射角入射铅靶时的双差厚靶中子产率(TTNY)。通过对探测阈值以上的中子能谱积分,得到了中子产率的角分布。然后将实验数据与不同物理模型下使用蒙特卡罗模拟代码GEANT4、PHITS和FLUKA计算的结果进行比较。结果表明,正向中子能谱在60-70附近有一个宽峰% of the incident particle energy per nucleon and spread up to nearly twice the projectile energy per nucleon. All calculations overestimate the neutron yields near this broad peak except at (0^{circ },) and overestimate the neutron energy corresponding to the peak center at all angles. The GEANT4 results show good agreement with the experimental data from a few tens of MeV to around 100 MeV at angles from (5^{circ }) to (60^{circ },) while PHITS and FLUKA results slightly overestimate the yields. Regarding the angular distribution, the predictions from GEANT4, PHITS, and FLUKA differ from the experimental data by less than a factor of 2 except at (75^{circ }.)
{"title":"Measurement of double differential thick target neutron yields for 500 MeV/u (^9)Be incident on a lead target","authors":"Qin Li,&nbsp;Zhiqiang Chen,&nbsp;Rui Han,&nbsp;Bingyan Liu,&nbsp;Guoyu Tian,&nbsp;Hui Sun,&nbsp;Xin Zhang,&nbsp;Fudong Shi,&nbsp;Zekun Zhang,&nbsp;Peiyan Zhang","doi":"10.1140/epja/s10050-026-01962-w","DOIUrl":"10.1140/epja/s10050-026-01962-w","url":null,"abstract":"<div><p>The double differential thick target neutron yields (TTNY) for 500 MeV/u <span>(^9)</span>Be ions incident on a lead target were measured at emission angles from <span>(0^{circ })</span> to <span>(75^{circ })</span> using the time-of-flight (TOF) method with organic liquid scintillators. The angular distribution of neutron yields was obtained by integrating the neutron energy spectrum above the detection threshold. The experimental data were then compared with results calculated using the Monte Carlo simulation codes GEANT4, PHITS, and FLUKA with different physics models. The results show that the neutron energy spectrum in the forward direction exhibits a broad peak centered around 60–70% of the incident particle energy per nucleon and spread up to nearly twice the projectile energy per nucleon. All calculations overestimate the neutron yields near this broad peak except at <span>(0^{circ },)</span> and overestimate the neutron energy corresponding to the peak center at all angles. The GEANT4 results show good agreement with the experimental data from a few tens of MeV to around 100 MeV at angles from <span>(5^{circ })</span> to <span>(60^{circ },)</span> while PHITS and FLUKA results slightly overestimate the yields. Regarding the angular distribution, the predictions from GEANT4, PHITS, and FLUKA differ from the experimental data by less than a factor of 2 except at <span>(75^{circ }.)</span></p></div>","PeriodicalId":786,"journal":{"name":"The European Physical Journal A","volume":"62 9","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148986183","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}
引用次数: 0
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