Few-Body Systems最新文献

{"title":"Bose–Einstein Condensate in the Dunkl Formalism: A Study of an Excited Bound State with a Nodal Gaussian Ansatz","authors":"Salah Zenkhri,&nbsp;Djamel Eddine Zenkhri","doi":"10.1007/s00601-026-02064-5","DOIUrl":"10.1007/s00601-026-02064-5","url":null,"abstract":"<div><p>This paper investigates the influence of the Dunkl operator on the one-dimensional Bose–Einstein condensate (BEC), modeled by the Gross–Pitaevskii equation. Two fundamental external potentials are considered: the free (null potential) case and the harmonic trapping potential. To analyze the system, we employ a variational Gaussian ansatz with odd parity, <span>(psi (x) propto x e^{-Bx^2})</span>, which is strictly compatible with the <span>(s = -1)</span> sector (odd eigenvalue of the reflection operator) and describes the first excited state of the condensate. We derive approximate expressions for the energy and optimal width <span>(B_0)</span>, and explore the role of the Wigner deformation constant <span>(theta )</span> in shaping the condensate’s density profile, energy minimization, and stability under confinement. This work provides a novel perspective on the interplay between generalized reflection symmetries, weighted measures, and nonlinear quantum phenomena in excited states of BECs.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614221","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":"Geometric structure of two-neutron halo nuclei from Efimov physics at the unitary limit","authors":"R. M. Francisco,&nbsp;D. S. Rosa,&nbsp;T. Frederico,&nbsp;M. T. Yamashita","doi":"10.1007/s00601-026-02065-4","DOIUrl":"10.1007/s00601-026-02065-4","url":null,"abstract":"<div><p>We investigate the geometric structure of two-neutron halo nuclei from the perspective of Efimov physics. Using the analytic three-body wave function obtained from the Faddeev equations in the unitary limit, we explore the connection between Efimov universality and the spatial configuration of these weakly bound systems. The internal geometry is quantified through probability densities, root-mean-square interparticle distances and characteristic opening angles, evaluated for different neutron–core mass ratios. Our results reveal a universal trend in the geometry of <i>s</i>-wave dominated halo nuclei, reflecting the universal correlations characteristic of the Efimov-like regime.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-026-02065-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465877","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":"Klein-Gordon Oscillator in D-dimensional Fractional Space","authors":"Nader Rouabhia,&nbsp;Sara Merad,&nbsp;Mahmoud Merad,&nbsp;Tolga Birkandan","doi":"10.1007/s00601-026-02067-2","DOIUrl":"10.1007/s00601-026-02067-2","url":null,"abstract":"<div><p>We study the Klein-Gordon oscillator in a <i>D</i>-dimensional fractional space with <span>(1&lt;Dle 2)</span>, employing scalar and vector potentials of the form <span>(S(r)=S_{0}r^{lambda })</span> and <span>(U(r)=U_{0}r^{lambda })</span>, and with power-law coupling <span>(f(r)=r^{beta })</span>. Using separation of variables in polar coordinates, the angular equation is solved by Gegenbauer polynomials. The radial equation is analyzed for several combinations of <span>(beta )</span> and <span>(lambda )</span>. In different cases, the solutions are expressed in terms of biconfluent Heun functions, Bessel functions, or generalized Laguerre polynomials. The energy spectra and wave functions depend explicitly on the fractional dimension <i>D</i> and on the potential parameters <span>(lambda , U_{0}, S_{0})</span>. For specific choices, e.g., <span>(beta =lambda =1)</span> or <span>(beta =1, lambda =-1)</span>, we obtain closed-form energy eigenvalues. For <span>(beta =-1,)</span> with a hard-wall confinement, the spectrum is quantized via Bessel zeros. Numerical solutions for <span>(D=1.5)</span> and <span>(D=2)</span> show that non-integer dimensions lift degeneracies and modify the number of bound states. These results highlight the sensitivity of relativistic quantum systems to the effective spatial dimensionality and to the power-law exponents of the potentials.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465827","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":"Variation of Temperature and Density on the Tetraquark Masses in Medium with Momentum Dependent Potential","authors":"S. Pal,&nbsp;B. Chakrabarti,&nbsp;A. Bhattacharya","doi":"10.1007/s00601-026-02062-7","DOIUrl":"10.1007/s00601-026-02062-7","url":null,"abstract":"<div><p>We have investigated the spectroscopy of the different exotic tetraquarks such as <i>K</i>, <span>(f_{0})</span>, <i>D</i>, <i>Y</i>, <span>(Z_{s})</span>, <span>(Z_{c})</span>, <span>(T_{cc})</span>, <span>(T_{cc})</span>, <span>(X_{c})</span> etc. embedded in a strongly interacting medium with the variation of density and temperature of the medium. The momentum and density dependent potential and power law type of temperature scaling play crucial roles in this regard. The tetraquarks have been treated as composite system of diquark-antidiquark in the context of Composite Fermion (CF) quasiparticle model and their effective masses have been estimated. Moreover, when these tetraquarks are embedded in a strongly interacting medium, the density and the temperature of the medium affect their masses. These variations of masses have been explored in detail and have been displayed in the graphs. They have also been compared with works of others.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465477","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":"Phenomenological Extraction of Fragmentation Functions in a (pbar{p}) Environment","authors":"M. A. Pérez de León,&nbsp;S. A. Ochoa-Oregon,&nbsp;D. F. Rentería-Estrada,&nbsp;R. J. Hernández-Pinto","doi":"10.1007/s00601-026-02068-1","DOIUrl":"10.1007/s00601-026-02068-1","url":null,"abstract":"<div><p>The precise determination of fragmentation functions (FFs) of hadrons relies on the accurate description of the differential cross sections obtained from both experimental high-energy hadron colliders and theoretical predictions at higher orders in quantum chromodynamics. Various phenomenological strategies have been employed to extract FFs. In this work, we analyze the use of kinematical cuts for reactions including pions and kaons in proton-antiproton collisions to isolate individual FF contributions. This study examines the feasibility of using a similar approach as in proton-proton colliders to analyze FF flavour separation [1]. In particular, we study photon-hadron production at colliders, including NLO QCD and LO QED corrections to reconstruct the partonic momentum fractions.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323282","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":"Two and Three particle pseudorapidity correlations in (^{84}Kr)-Emulsion collisions at relativistic energies","authors":"M. Sharma,&nbsp;M. K. Singh","doi":"10.1007/s00601-026-02063-6","DOIUrl":"10.1007/s00601-026-02063-6","url":null,"abstract":"<div><p>One of the most important methods for comprehending the fundamental dynamics of high energy nuclear interactions is the investigation of multiparticle correlation. In this study two- and three-particle short-range pseudorapidity (<span>(eta )</span>) correlations in <span>(^{84}Kr)</span>-Em interaction at 1 A GeV are investigated and also examine whether they are energy and mass independent. The analysis is performed using two particle normalized correlation functions (<span>(R_{2})</span>) and three particle normalised correlation function (<span>(R_{3})</span>) in order to examine the underlying dynamics of multiparticle production and the possible clustering behavior of emitted particles. Cumulative shower formation is responsible for the high two-particle short-range <span>(eta )</span> correlation seen in the reverse direction in the target rest frame. Additionally, an analysis of the cumulative <span>(eta )</span> gap distribution is conducted, and the associated cluster features are presented.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323232","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":"Bound State Solutions of the Dunkl–Schrödinger Equation for the Modified Eckart Potential","authors":"M’hamed Hadj Moussa","doi":"10.1007/s00601-026-02050-x","DOIUrl":"10.1007/s00601-026-02050-x","url":null,"abstract":"<div><p>This paper presents an analytical study of the one-dimensional Dunkl-Schrödinger equation with a modified Eckart potential. The analysis is carried out within the framework of Dunkl differential operators, which incorporate the Wigner parameter <span>(mu _{1})</span>. The classical Eckart potential is generalized by using four real parameters, <span>(a_{1})</span>, <span>(a_{2})</span>, <span>(a_{3})</span>, and <span>(a_{4})</span>, thereby providing greater flexibility in modeling short-range interactions. The resulting quantization condition yields an implicit expression for the energy spectrum <span>(E_{n})</span> and the corresponding wavefunction <span>(phi _{1}(x))</span>. Numerical computations were performed to examine the influence of each parameter on the obtained results. Moreover, several particular cases corresponding to specific potentials were investigated. For each case, analytical expressions for the energy spectrum and the wavefunctions were derived both in the Dunkl framework and in the classical limit <span>(mu _{1}rightarrow 0)</span>. The paper concludes with a concise summary of the main analytical findings.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323164","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":"Approximate Bound State Solutions of the Schrödinger Equation with Combined Five-Parameter Exponential-type and Ring-Shaped Potentials by the Supersymmetry Approach","authors":"Bachir Kermezli,&nbsp;Nasreddine Zaghou","doi":"10.1007/s00601-026-02052-9","DOIUrl":"10.1007/s00601-026-02052-9","url":null,"abstract":"<div><p>In this paper, we study approximate bound state solutions of the Schrödinger equation for the new proposed non-central exponential potential as the sum of a five-parameter exponential-type potential and a ring-shaped potential, by applying the approach of supersymmetric quantum mechanics (SUSYQM) in the framework of the improved approximation scheme to the centrifugal potential. The Schrödinger equation with this model potential is separated into angular and radial components. The bound state energy eigenvalues for both the radial and angular parts of a non-relativistic equation with a new non-central model potential are derived, and the corresponding radial and angular wave functions are expressed in terms of Jacobi polynomials. We also discuss some important special cases from our model. Our results are consistent with previous studies in the literature. We also present the numerical results for the energy spectrum of some special cases of the diatomic molecules CO, NO, N<span>(_{2})</span> and HCL.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281853","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":"Evaluating Alternative Spin Scenarios of (P_{cbar{c}}(4440)) and (P_{cbar{c}}(4457)) Using Heavy Quark Symmetries","authors":"Duygu Yıldırım","doi":"10.1007/s00601-026-02059-2","DOIUrl":"10.1007/s00601-026-02059-2","url":null,"abstract":"<div><p>Heavy quark symmetries are useful for predicting the existence of heavy states, their masses, and spin states. Despite numerous studies on the <span>(P_{cbar{c}}(4440))</span> and <span>(P_{cbar{c}}(4457))</span> heavy states, their spin states have not been previously determined. In this study, heavy symmetries are applied to predict the spin states. If the <span>(P_{cbar{c}}(4440))</span> and <span>(P_{cbar{c}}(4457))</span> states are considered <span>(bar{D}^*Sigma _c)</span> molecules, they can be classified as heavy partners. This classification may help clarify their potential connections with heavy antiquark-diquark symmetry partners. By utilizing these alternative spin assignments and the concept of heavy antiquark-diquark symmetry, it may be possible to estimate <span>(Xi _{cc}^{(*)}Sigma _c^{(*)})</span> states, and ultimately, their spin states, which have not been elucidated in experiments. In addition to these symmetries, the relationship between <span>(P_{cbar{c}})</span> and <span>(P_{cbar{c}s})</span> pentaquarks can be constructed which supports the prediction of possible <span>(P_{cbar{c}s})</span> states. The predicted masses of the <span>(P_{cbar{c}s}(4338))</span> and <span>(P_{cbar{c}s}(4459))</span> states align with several studies, allowing us to eliminate a specific spin state. One spin state appears to be favored, suggesting that <span>(P_{cbar{c}}(4440))</span> has <span>(J^P=frac{1}{2})</span> and <span>(P_{cbar{c}}(4457))</span> has <span>(J^P=frac{3}{2})</span>.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 3","pages":""},"PeriodicalIF":1.8,"publicationDate":"2026-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-026-02059-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148237028","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":"Two Rotating Particles Interacting via Two-Body Gaussian Potential and Harmonically Confined in Two Spatial Dimensions","authors":"Md Hamid,&nbsp;M. A. H. Ahsan","doi":"10.1007/s00601-026-02060-9","DOIUrl":"10.1007/s00601-026-02060-9","url":null,"abstract":"<div><p>We investigate a system of two particles harmonically confined in a 2D plane interacting via a two-body Gaussian potential and subjected to an externally impressed rotation about an axis perpendicular to the plane of the motion. Separating the free motion of the center of mass from the relative motion, we use perturbation theory to obtain the eigenenergy for the relative motion of the pair, in a given relative angular momentum state <i>l</i>. We numerically demonstrate that for the Gaussian interaction potential with interaction strength <span>(g_{2})</span> and interaction range <span>(sigma )</span>, the ground-state energy converges within a subspace of finite number of basis functions. We obtain energies for the ground, the first, and the second excited states in the interaction strength regime <span>(-4le g_{2}le 4)</span>, for various values of the interaction range <span>(sigma )</span>, for the relative angular momenta <span>(l=0)</span> and <span>(l=1)</span>. For angular momentum <span>(l=0)</span> and attractive interaction with <span>(g_{2}&lt;0)</span>, the ground-state energy becomes negative, thus forming a bound state. As the interaction strength <span>(g_{2})</span> takes further negative values below <span>(-2)</span>, the ground-state energy diverges to <span>(-infty )</span>, thus forming a tightly-bound pair of particles. In contrast, for the angular momentum <span>(l=1)</span>, there is no such divergence in the ground-state energy, instead, the ground, the first, and the second excited state energies coincide with the corresponding non-interacting values, independent of the value of the interaction strength in the regime <span>(-4le g_{2}le +4)</span>. For angular momentum <span>(l=0 text{ or } 1)</span> and repulsive interaction with <span>(g_{2}&gt;0)</span>, the ground-state energy increases with an increase in the interaction strength as well as the interaction range. For the ground-state of the pair, the inter-dependence of the average kinetic energy <span>(langle Ke rangle )</span>, the average harmonic-potential <span>(langle V_{ho} rangle )</span> and the average interaction energy <span>(langle V_{int} rangle )</span> are analyzed with interaction strength <span>(g_{2}=1)</span> and interaction range in the regime <span>(0.1le sigma le 0.9)</span>, for relative angular momentum <span>(l=0)</span> and <span>(l=1)</span>.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"67 3","pages":""},"PeriodicalIF":1.8,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236485","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}