Few-Body Systems最新文献

{"title":"“Analysis of Compact, Generalized Exponential Basis Functions for Helium”","authors":"Jesse W. Tye","doi":"10.1007/s00601-025-02008-5","DOIUrl":"10.1007/s00601-025-02008-5","url":null,"abstract":"<div><p>We present a detailed variational study of the helium atom using compact, generalized exponential basis functions (GEFs) that incorporate non-integer radial powers and adjustable exponential decay parameters. These trial wave functions, originally introduced by Koga and Kanayama, offer improved flexibility for describing electron behavior near the nucleus and at large distances. By optimizing the variational parameters a, b, and x, we construct wave functions that closely approximate the Hartree-Fock (HF) ground state using only a single basis term. We evaluate key expectation values, including <span>(langle hbox {r}rangle )</span>, <span>(langle 1/textrm{r}rangle )</span>, <span>(langle hbox {r}_{12}rangle )</span>, <span>(langle hbox {r}_{&lt;}rangle )</span>, and <span>(langle hbox {r}_{&gt;}rangle )</span>, and analyze the effects of radial power and decay parameters on kinetic, nuclear attraction, and electron-electron repulsion energies. Our results demonstrate that the total energy can be lowered to within 0.20 millihartree of the HF limit, matching the performance of larger Slater-type orbital expansions with far fewer parameters. We further investigate the influence of wave function parameters on the nuclear cusp and radial probability density. The findings highlight the utility of GEFs in compact atomic modeling, offering both computational efficiency and near-HF-limit accuracy, with significant pedagogical value for quantum chemistry instruction.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 4","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145256411","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}

{"title":"Analytical Solutions of Rosen-Morse-Type Potentials in Quantum Systems with Position-Dependent Mass via Shape Invariance","authors":"Kh. Bengherabi,&nbsp;N. Zaghou,&nbsp;F. Benamira","doi":"10.1007/s00601-025-02013-8","DOIUrl":"10.1007/s00601-025-02013-8","url":null,"abstract":"<div><p>Supersymmetric quantum mechanics (SUSY-QM) provides a powerful framework for analyzing exactly solvable quantum systems. This study extends this formalism to a class of hyperbolic potentials within position-dependent mass (PDM) systems, which are crucial for modeling graded semiconductor heterostructures and other effective quantum theories. While the constant-mass case is confirmed to be exactly solvable, introducing a position-dependent mass presents a fundamental theoretical challenge. The nonlinear coupling between the spectral parameters and the superpotential generally breaks the standard shape-invariance condition, preventing a general analytical solution through the standard SUSY hierarchy. Our central result is the derivation, by strictly enforcing shape invariance as a constraint, of a unique and exactly solvable scenario. This process self-consistently identifies a specific, compatible pair of mass profile <span>(Mleft( xright) )</span> and potential<span>( Vleft( xright) )</span>. This pair emerges not as an arbitrary choice but as the fundamental solution that preserves the underlying supersymmetric symmetry, highlighting that shape invariance itself acts as a selection rule dictating which mass profiles permit exact solvability for a given potential type. This solvable model establishes a critical analytical benchmark for future studies on more complex, non-shape-invariant PDM systems. It demonstrates a robust methodology for identifying exact solutions in generalized quantum contexts, consolidating the role of SUSY-QM in tackling the challenges of position-dependent mass.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 4","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145256324","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}

{"title":"Open Charm Mesons in Variational Scheme and HQET","authors":"K. K. Vishwakarma,&nbsp;Ritu Garg,&nbsp;Alka Upadhyay","doi":"10.1007/s00601-025-02012-9","DOIUrl":"10.1007/s00601-025-02012-9","url":null,"abstract":"<div><p>The charm (<i>D</i>) and charm-strange (<span>(D_s)</span>) mesons are investigated in a variational scheme using Gaussian trial wave functions. The Hamiltonian contains Song and Lin potential with a constant term dependent on radial and orbital quantum numbers. The Gaussian wave function used has a dependence on radial distance <i>r</i>, radial quantum number <i>n</i>, orbital quantum number <i>l</i> and a trial parameter <span>(mu )</span>. The obtained spectra of <i>D</i> and <span>(D_s)</span> mesons are in good agreement with other theoretical models and available experimental masses. The mass spectra of <i>D</i> and <span>(D_s)</span> mesons are also used to plot Regge trajectories in the (<i>J</i>, <span>(M^2)</span>) and (<span>(n_r)</span>, <span>(M^2)</span>) planes. In (<i>J</i>, <span>(M^2)</span>) plane, both natural and unnatural parity states of <i>D</i> and <span>(D_s)</span> mesons are plotted. The trajectories are parallel and equidistant from each other. The two-body strong decays of <i>D</i> and <span>(D_s)</span> are analyzed in the framework of heavy quark effective theory using computed masses. The strong decay widths are given in terms of strong coupling constants. These couplings are also estimated by comparing them with available experimental values for observed states. Also, the partial decay width ratios of different states are analyzed and used to suggest assignments to the observed states. We have assigned the spin-parity to newly observed <span>(D^*_{s2}(2573))</span> as the strange partner of <span>(D^*_2(2460))</span> identified as <span>(1^3P_2)</span>, <span>(D_1^*(2760))</span> and <span>(D^*_{s1}(2860))</span> as <span>(1^3D_1)</span>, <span>(D^*_3(2750))</span> and <span>(D^*_{s3}(2860))</span> as <span>(1^3D_3)</span>, <span>(D_2(2740))</span> as <span>(1D_2)</span>, <span>(D_0(2550))</span> as <span>(2^1S_0)</span>, <span>(D^*_1(2660))</span> and <span>(D^*_{s1}(2700))</span> as <span>(2^3S_1)</span>, <span>(D^*_J(3000))</span> as <span>(2^3P_0)</span>, <span>(D_J(3000))</span> as <span>(2P_1)</span>, <span>(D^*_2(3000))</span> as <span>(1^3F_2)</span> states.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 4","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210249","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}

{"title":"Spectroscopy of (cc{bar{c}}{bar{c}}) and (ss{bar{c}}{bar{c}}) Tetraquarks within the Framework of Regge Phenomenology","authors":"Vandan Patel,&nbsp;Juhi Oudichhya,&nbsp;Ajay Kumar Rai","doi":"10.1007/s00601-025-02011-w","DOIUrl":"10.1007/s00601-025-02011-w","url":null,"abstract":"<div><p>In this work, we investigate the mass spectra of all-charm (<span>(cc{bar{c}}{bar{c}})</span>) and doubly strange- doubly charm (<span>(ss{bar{c}}{bar{c}})</span>) tetraquark states using the framework of Regge phenomenology. Employing a quasi-linear Regge trajectory ansatz, we derive linear and quadratic mass inequalities for hadrons, which provide constraints on the masses of tetraquark states. We estimate the range of ground state masses of <span>(cc{bar{c}}{bar{c}})</span> tetraquarks and determine the Regge slope parameters by fitting the corresponding <span>((J, M^2))</span> trajectories. These parameters are then utilized to predict the mass spectra of orbital excited states of both <span>(cc{bar{c}}{bar{c}})</span> and <span>(ss{bar{c}}{bar{c}})</span> systems in the <span>((J, M^2))</span> plane. Furthermore, we extend our analysis to radial excitations by exploring Regge trajectories in the <span>((n, M^2))</span> plane. The obtained mass predictions are compared with existing theoretical results from various models. Additionally, we discuss the possible identification of the experimentally observed <span>(psi (4660))</span> and <span>(chi _{c0}(4700))</span> resonances as tetraquark candidates. The results presented in this study offer useful benchmarks for future experimental investigations and may assist in the spin-parity assignment of exotic hadronic states. Our findings contribute to a deeper understanding of multiquark dynamics and the spectroscopy of exotic hadrons within the framework of Quantum Chromodynamics.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 4","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210873","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}

{"title":"Dynamical Mass Generation in QED: Miransky scaling and Schrödinger-like infinite well and barrier potentials supporting a bound state","authors":"Juan D. García-Muñoz,&nbsp;A. Alfaro,&nbsp;L. X. Gutiérrez-Guerrero,&nbsp;A. Raya","doi":"10.1007/s00601-025-02010-x","DOIUrl":"10.1007/s00601-025-02010-x","url":null,"abstract":"<div><p>In this study, we revisit the Schwinger–Dyson equation for the electron propagator in QED in three- and four-space–time dimensions. Our analysis addresses the non-perturbative phenomenon of dynamical chiral symmetry breaking which demands a critical value of the coupling for the dynamical generation of electron masses, encoded in the infrared behavior of the said Green function. With a minimalistic truncation of the infinite tower of equations and adopting standard assumptions, the resulting gap equation is linearized and transformed into a Schrödinger-like equation with an auxiliary potential barrier (well) subjected to boundary conditions for both high and low momenta. Then, the dynamical mass is associated with the zero mode of the corresponding Schrödinger-like operator and adheres to the Miransky scaling law, as expected.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 4","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110524","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}

{"title":"Three-Body Recombination of Cold Helium and Hydrogen Atoms","authors":"Hiroya Suno","doi":"10.1007/s00601-025-02009-4","DOIUrl":"10.1007/s00601-025-02009-4","url":null,"abstract":"<div><p>We investigate three-body recombination of helium and hydrogen atoms at cold collision energies, adopting the hyperspherical adiabatic formulation. By taking into account non-rotating (<span>(J=0)</span>) and rotating (<span>(J&gt;0)</span>) states, we calculate the rates for the recombination processes <span>(^4)</span>He+<span>(^4)</span>He+X<span>(rightarrow ^4)</span>He<span>(_2)</span>+X (X=<span>(^1)</span>H, <span>(^2)</span>H, <span>(^3)</span>H and <span>(^3)</span>He), up to 0.1 Kelvin. In addition, we compute the collision induced dissociation rates for the same three-body systems.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 4","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145078913","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}

{"title":"Dipole and Quadruple Oscillator Strengths for Hydrogen Atom Under Dense Plasma Modelled by MGECSC Potential","authors":"Rachna Joshi","doi":"10.1007/s00601-025-02006-7","DOIUrl":"10.1007/s00601-025-02006-7","url":null,"abstract":"<div><p>The dipole and quadruple Oscillator strengths for Hydrogen atom are computed under the effect of More General Exponential Cosine Screened Coulomb (MGECSC) potential which describes Debye as well as quantum plasma as its special cases. The wavefunctions are computed through numerical simulation using the accurate Numerov method. The variation of the oscillator strengths for different transitions in plasma embedded Hydrogen with respect to different parameters of the modelling potential are investigated. As per the present calculations, the dipole oscillator strengths for Debye plasma, decrease as the parameter <span>(upmu )</span> increases. In contrast, for quantum plasma, the dipole oscillator strength values increase as the parameters <span>(upmu )</span>, b, and c of the potential increase. For quadruple oscillator strengths, few deviations are observed due to combined effect of three parameters of potential.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 4","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145062281","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}

{"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}

{"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}

{"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}