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Observability of Modified Threshold Behavior Near Unitarity 修正阈值行为的近统一性观察性
IF 1.8 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-09-06 DOI: 10.1007/s00601-025-02007-6
Michael D. Higgins, J. Golak, R. Skibiński, K. Topolnicki, H. Witała, H. Kamada, Chris H. Greene
{"title":"Observability of Modified Threshold Behavior Near Unitarity","authors":"Michael D. Higgins,&nbsp;J. Golak,&nbsp;R. Skibiński,&nbsp;K. Topolnicki,&nbsp;H. Witała,&nbsp;H. Kamada,&nbsp;Chris H. Greene","doi":"10.1007/s00601-025-02007-6","DOIUrl":"10.1007/s00601-025-02007-6","url":null,"abstract":"<div><p>A number of recent references have pointed out that an <i>N</i>-particle system having short-range interactions at <i>S</i>-wave and/or <i>P</i>-wave unitarity can exhibit modified threshold behavior for various reactive processes. But the question of how close to unitarity one must get in order to observe such modifications has not been addressed. The present study quantifies this question by treating cases involving 3- or 4-neutrons, at the physical value of the neutron-neutron singlet scattering length <span>(a_{s})</span> and at artificially altered values. One major conclusion is that the neutron-neutron scattering length is not yet sufficiently large for the 3<i>n</i> or 4<i>n</i> systems to demonstrate the unitarity threshold exponent.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 4","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-025-02007-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145005499","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Pauli oscillator in ((2+1))-dimensional topologically charged Perry-Mann-type wormhole spacetime with disclinations 具有偏差的((2+1))维拓扑带电佩里-曼型虫洞时空中的泡利振子
IF 1.8 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-08-14 DOI: 10.1007/s00601-025-02005-8
M. D. de Oliveira, Alexandre G. M. Schmidt
{"title":"Pauli oscillator in ((2+1))-dimensional topologically charged Perry-Mann-type wormhole spacetime with disclinations","authors":"M. D. de Oliveira,&nbsp;Alexandre G. M. Schmidt","doi":"10.1007/s00601-025-02005-8","DOIUrl":"10.1007/s00601-025-02005-8","url":null,"abstract":"<div><p>We investigate the two-dimensional harmonic oscillator for a spin-1/2 particle using the Pauli equation in a <span>((2+1))</span>-dimensional topologically charged Perry-Mann-type wormhole spacetime with cosmic string-type disclinations. The angular component of the Pauli spinor is a two-component plane wave. The radial differential equation includes relativistic corrections through spin-orbit coupling terms and the Darwin term. We derive the exact radial wave function expressed in terms of the Heun polynomial, along with the quantized energy levels and oscillation frequencies, incorporating corrections from spin-orbit coupling, the Darwin term, and topological effects in all cases. Furthermore, we investigate the effects of the cosmic string, global monopole, and spacetime curvature by graphically analyzing the eigenenergies and radial probability density.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 3","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144843313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Mutual Neutralization in Collisions of (text {B}^+) and (text {H}^-) (text {B}^+)和碰撞中的相互中和作用 (text {H}^-)
IF 1.8 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-08-13 DOI: 10.1007/s00601-025-02004-9
Berna Arslanoglu, Monja Begau, Ann E. Orel, Åsa Larson
{"title":"Mutual Neutralization in Collisions of (text {B}^+) and (text {H}^-)","authors":"Berna Arslanoglu,&nbsp;Monja Begau,&nbsp;Ann E. Orel,&nbsp;Åsa Larson","doi":"10.1007/s00601-025-02004-9","DOIUrl":"10.1007/s00601-025-02004-9","url":null,"abstract":"<div><p>Motivated by the need to model the plasma at ITER, the cross section - both total and differential - and branching ratios for mutual neutralization in collisions of <span>(text {B}^+)</span> with <span>(text {H}^-)</span> are calculated using a close coupling approach. Potential energy curves and non-adiabatic coupling elements of seven electronic states of BH in <span>(^1Sigma ^+)</span> symmetry are computed using the multireference configuration interaction method.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 3","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-025-02004-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144832265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Calculation of low-energy scattering parameters using artificial oscillator trap 利用人工振荡器阱计算低能散射参数
IF 1.8 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-08-05 DOI: 10.1007/s00601-025-02003-w
D. V. Fedorov, A. M. Pedersen
{"title":"Calculation of low-energy scattering parameters using artificial oscillator trap","authors":"D. V. Fedorov,&nbsp;A. M. Pedersen","doi":"10.1007/s00601-025-02003-w","DOIUrl":"10.1007/s00601-025-02003-w","url":null,"abstract":"<div><p>We introduce a recipe to estimate the low-energy scattering parameters of a quantum few-body system — scattering length, effective range, and shape parameter — by using only <i>discrete</i> state calculations. We place the system in an artificial oscillator trap of varying size and calculate the energies of the resulting discrete states close to the threshold of the system as function of the trap size. The low-energy scattering parameters are then extracted — using a simple analytic formula — from the functional dependence of these energies upon the trap size. We first test the recipe against a simple model problem and then apply it to low-energy nucleon-nucleon scattering within the nuclear Model with Explicit Mesons in one sigma-meson approximation.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 3","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-025-02003-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Cylindrically Confined Hydrogen Atom in Magnetic Field: Variational Cut-Off Factor 磁场中的圆柱约束氢原子：变分截止因子
IF 1.8 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-07-11 DOI: 10.1007/s00601-025-02001-y
A. N. Mendoza-Tavera, H. Olivares-Pilón, M. Rodríguez-Arcos, A. M. Escobar-Ruiz
{"title":"Cylindrically Confined Hydrogen Atom in Magnetic Field: Variational Cut-Off Factor","authors":"A. N. Mendoza-Tavera,&nbsp;H. Olivares-Pilón,&nbsp;M. Rodríguez-Arcos,&nbsp;A. M. Escobar-Ruiz","doi":"10.1007/s00601-025-02001-y","DOIUrl":"10.1007/s00601-025-02001-y","url":null,"abstract":"<div><p>In the present study, we consider the hydrogen atom confined within an impenetrable infinite cylindrical cavity of radius <span>(rho _{0})</span> in the presence of a constant magnetic field <span>(textbf{B} = B,hat{textbf{z}})</span> oriented along the main cylinder’s axis. In the Born-Oppenheimer approximation, anchoring the nucleus to the geometric center of the cylinder, a physically meaningful 3-parametric trial function is used to determine the ground state energy <i>E</i> of the system. This trial function incorporates the exact symmetries and key limiting behaviors of the problem explicitly. In particular, it does not treat the Coulomb potential nor the magnetic interaction as a <i>perturbation</i>. The novel inclusion of a variational cut-off factor <span>(big (1 - big (frac{rho }{rho _0}big )^nu big ))</span>, <span>(nu ge 1)</span>, appears to represent a significant improvement compared to the non-variational cut-off factors commonly employed in the literature. The dependence of the total energy <span>(E=E(rho _0,,B))</span> and the binding energy <span>(E_b=E_b(rho _0,,B))</span> on the cavity radius <span>(rho _0 in [0.8,,5] ,)</span>a.u. and the magnetic field strength <span>(Bin [0.0,,1.0],)</span>a.u. is presented in detail. The expectation values <span>(langle rho rangle )</span> and <span>(langle |z| rangle )</span>, and the Shannon entropy in position space are computed to provide additional insights into the system’s localization. A brief discussion is provided comparing the 2D and 3D cases as well.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 3","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-025-02001-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Phase-amplitude separation of wave function as local gauge transformation 作为局域规范变换的波函数相幅分离
IF 1.8 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-07-11 DOI: 10.1007/s00601-025-02002-x
A. R. P. Rau
{"title":"Phase-amplitude separation of wave function as local gauge transformation","authors":"A. R. P. Rau","doi":"10.1007/s00601-025-02002-x","DOIUrl":"10.1007/s00601-025-02002-x","url":null,"abstract":"<div><p>A quantum-mechanical wave function is complex, but all observations are real, expressible through expectation values and transition matrix elements that involve the wave functions. It can be useful to separate at the outset the amplitude and phase as real quantities that together carry the same information that is contained in the complex wave function. Two main avenues for doing so go way back in the history of the subject and have been used both for scattering and bound states. A connection is made here to gauge transformations of electrodynamics where the advent of quantum mechanics and later quantum field theory showed the central role that local gauge transformations play in physics.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 3","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-025-02002-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Relativistic oscillators in the context of energy-dependent noncommutative phase space 能量相关非交换相空间中的相对论振子
IF 1.8 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-07-05 DOI: 10.1007/s00601-025-01998-6
N. Rouabhia, M. Merad, B. Hamil, T. Birkandan
{"title":"Relativistic oscillators in the context of energy-dependent noncommutative phase space","authors":"N. Rouabhia,&nbsp;M. Merad,&nbsp;B. Hamil,&nbsp;T. Birkandan","doi":"10.1007/s00601-025-01998-6","DOIUrl":"10.1007/s00601-025-01998-6","url":null,"abstract":"<div><p>In this work, we investigate the Klein-Gordon and Dirac oscillators in (2+1) dimensions under the influence of a constant magnetic field, within the framework of energy-dependent noncommutative phase space. This space is characterized by two energy-dependent deformation parameters, <span>(theta (E))</span> and <span>(eta (E))</span>, which modify the standard phase-space algebra through generalized commutation relations. By applying the Bopp shift method and using polar coordinates, we derive exact analytical solutions for both relativistic oscillators. The relativistic energy equations and corresponding wave functions are obtained explicitly in terms of confluent hypergeometric functions for the Klein-Gordon case and associated Laguerre functions for the Dirac case. We also analyze various limiting cases, including the commutative limit, the energy-independent NC case, and the non-relativistic regime. Our results show that the energy dependence of the noncommutative parameters leads to significant modifications in the spectral structure, potentially shedding light on quantum gravitational effects at high energies.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 3","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Modified Quantum Oscillator Field in 4D Wormhole With a Cosmic String 带有宇宙弦的4D虫洞中修正的量子振子场
IF 1.8 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-07-04 DOI: 10.1007/s00601-025-02000-z
Faizuddin Ahmed
{"title":"Modified Quantum Oscillator Field in 4D Wormhole With a Cosmic String","authors":"Faizuddin Ahmed","doi":"10.1007/s00601-025-02000-z","DOIUrl":"10.1007/s00601-025-02000-z","url":null,"abstract":"<div><p>In this paper, we explore quantum dynamics of relativistic quantum oscillator field within the framework of generalized Klein-Gordon oscillator in the context of four-dimensional wormhole with a cosmic string. The considered space-time is an example of Morris-Thorne-type traversable wormhole with topological defect. We derive a radial second-order differential equation of the generalized Klein-Gordon oscillator equation and obtain analytical solution through special functions by choosing different potential functions. In this study, we consider two distinct functions: a Coulomb- and Cornell-like potential form and solve the differential equation. As particular case, we presented the ground state energy level and the corresponding wave function of quantum oscillator fields. In fact, it is shown that the wormhole throat radius and cosmic string influences the eigenvalue solution compared to flat space results. The presence of topological defect of cosmic string breaks the degeneracy of the spectra of energy.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 3","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications Dunkl形式中摩尔斯势的光谱和热分析：解析近似和应用
IF 1.8 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-06-27 DOI: 10.1007/s00601-025-01999-5
B. Hamil, B. C. Lütfüoğlu, A. N. Ikot, U. S. Okorie
{"title":"Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications","authors":"B. Hamil,&nbsp;B. C. Lütfüoğlu,&nbsp;A. N. Ikot,&nbsp;U. S. Okorie","doi":"10.1007/s00601-025-01999-5","DOIUrl":"10.1007/s00601-025-01999-5","url":null,"abstract":"<div><p>In this work, we investigate the quantum dynamics of a particle subject to the Morse potential within the framework of Dunkl quantum mechanics. By employing the Dunkl derivative operator–which introduces reflection symmetry–we construct a deformed Schrödinger equation and obtain exact analytical solutions using the Pekeris approximation. The resulting energy spectrum and wavefunctions reveal how Dunkl parameters alter the effective potential and vibrational states. The model is applied to several diatomic molecules, including <span>(hbox {H}_2)</span>, HCl, and <span>(hbox {I}_2)</span>, illustrating the impact of symmetry deformation on energy spectra. We also compute thermodynamic functions including the partition function, free energy, internal energy, entropy, and specific heat. The analysis shows that the Dunkl deformation induces distinct thermal behavior and offers a tunable approach to molecular modeling. These results highlight the potential of the Dunkl formalism as a useful tool for extending conventional quantum models and for exploring symmetry-deformed systems in molecular physics and quantum thermodynamics.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 3","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Classical Grand Angular Momentum in N-Body Problems n体问题中的经典大角动量
IF 1.8 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-06-11 DOI: 10.1007/s00601-025-01996-8
Zhongqi Liang, Jesús Pérez-Ríos
{"title":"Classical Grand Angular Momentum in N-Body Problems","authors":"Zhongqi Liang,&nbsp;Jesús Pérez-Ríos","doi":"10.1007/s00601-025-01996-8","DOIUrl":"10.1007/s00601-025-01996-8","url":null,"abstract":"<div><p>The concept of grand angular momentum is widely used in the study of N-body problems quantum mechanically. Here, we applied it to a classical analysis of N-body problems. Utilizing the tree representation for Jacobi and hyperspherical coordinates, we found a decomposition of its magnitude into magnitudes of one-body angular momenta in three dimensions. We generalized some results from the two-body case and derived a general expression for the scattering angle in N-body problems.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164293","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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