Few-Body SystemsPub Date : 2024-03-07DOI: 10.1007/s00601-024-01889-2
Pankaj Kumar Debnath
{"title":"Metastability of Repulsive Bose–Einstein Condensate in a Finite Trap and Instability of Ground State Energies","authors":"Pankaj Kumar Debnath","doi":"10.1007/s00601-024-01889-2","DOIUrl":"10.1007/s00601-024-01889-2","url":null,"abstract":"<div><p>The stability of trapped bosons with repulsive interaction is studied using an approximate many-body calculation. Instead of using the traditional harmonic trapping potential we consider an anharmonic potential of the form <span>(V_{anhar}(r)=frac{1}{2}momega ^{2}r^{2}+lambda r^{4})</span>. In our method, a correlated two-body basis function is used which considers all two-body correlations. It is explained that negative value of anharmonic parameter (<span>(lambda )</span>) are capable to change a stable condensate into a metastable one. Within this metastable condensate, we slowly increase the number of atom (<i>A</i>) and find a collapsing nature of repulsive condensate. The process of collapse of repulsive Bose–Einstein condensation (BEC) is completely different from the collapsing process of attractive BEC and it is explained in details. A dramatic behaviour of interaction energy, kinetic energy, trapping potential energy along with the total ground state energy of this metastable repulsive BEC is observed. We also study the instability of these zero point energies by varying <span>(lambda )</span> when fixed number of bosons are trapped by the anharmonic well and find critical values of <span>(lambda )</span> at which the system collapses. When the number of trapped particle is sufficiently high, a close interplay between number of particle and anharmonic strength is observed to remodel the shape of the effective metastable region.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140075136","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}
Few-Body SystemsPub Date : 2024-03-05DOI: 10.1007/s00601-024-01884-7
Amenallah Andolsi, Yassine Chargui, Adel Trabelsi
{"title":"The Vector Planar DKP Oscillator Within a Minimal Length Uncertainty Relation","authors":"Amenallah Andolsi, Yassine Chargui, Adel Trabelsi","doi":"10.1007/s00601-024-01884-7","DOIUrl":"10.1007/s00601-024-01884-7","url":null,"abstract":"<div><p>In this work, we investigate the solutions of the two-dimensional Duffin–Kemmer–Petiau oscillator for spin-one particles under a minimal length assumption. To incorporate the minimal length, we assume a generalized uncertainty principle with two deformation parameters implying a noncommutative phase space. By employing the momentum representation, we were able to solve the problem exactly for all spin projection numbers and obtain the minimal length corrections brought to the energy eigenvalues and the associated eigenstates of the oscillator. The solutions are systematically classified into natural and unnatural parity states contingent upon the spin-projection numbers. Additionally, we studied the effect of applying an external transverse homogeneous magnetic field (HMF) on the dynamics of the system. In particular, the motion of a spin-one boson moving in the plane under a HMF is considered as a special case. We also discuss the nonrelativistic limit of the energy eigenvalues in each one of the considered instances.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140034287","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}
Few-Body SystemsPub Date : 2024-03-05DOI: 10.1007/s00601-024-01888-3
Shubhchintak, G. Singh, R. Chatterjee, M. Dan
{"title":"Radiative Neutron Capture Rate of (^{11})B((n,gamma )^{12})B Reaction from the Coulomb Dissociation of (^{12})B","authors":"Shubhchintak, G. Singh, R. Chatterjee, M. Dan","doi":"10.1007/s00601-024-01888-3","DOIUrl":"10.1007/s00601-024-01888-3","url":null,"abstract":"<div><p>We calculate the <span>(^{11})</span>B<span>((n,gamma )^{12})</span>B reaction rate which is an important constituent in nucleosynthesis networks and is contributed by resonant as well as non-resonant capture. For the resonant rate, we use the narrow resonance approximation whereas the non-resonant contribution is calculated with the Coulomb dissociation method for which we use finite-range distorted wave Born approximation theory. We then compare our calculated rate of <span>(^{11})</span>B<span>((n,gamma )^{12})</span>B reaction with those reported earlier and with other charged particle reactions on <span>(^{11})</span>B.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01888-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140047599","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}
Few-Body SystemsPub Date : 2024-03-02DOI: 10.1007/s00601-024-01886-5
Zeki C. Kuruoğlu
{"title":"Breakup Amplitudes from the Pseudostate Extension of the Coupled-Reaction-Channels Method","authors":"Zeki C. Kuruoğlu","doi":"10.1007/s00601-024-01886-5","DOIUrl":"10.1007/s00601-024-01886-5","url":null,"abstract":"<div><p>A pseudochannel extension of the coupled-reaction-channel (CRC) ansatz had been used in earlier work to simulate the effect of the breakup channel on the rearrangement amplitudes. Comparisons with benchmark results on model systems established that rearrangement amplitudes and total breakup probability could be obtained accurately. However, achieving the same level of accuracy with respect to the state-to-state breakup amplitudes had eluded the earlier attempts that used global bases to generate the pseudo states. With the global bases it is difficult to control the spectrum of pseudostate energies and to obtain an optimal distribution of these pseudo-levels. In the present work, local bases in momentum space of the type used in Finite Element methods are employed. Pseudostates are generated using a local interpolation basis in the relative momentum of the two-body subsystem. Local nature of such a basis allows us to control the density of two-body pseudostates by simply adjusting the distribution of the grid points. In the present work, it is demonstrated that breakup amplitudes can be extracted quantitatively using pseudostates generated from a basis of local piecewise quadratic interpolation polynomials. For a local-potential s-wave model of the <span>(textrm{n}+textrm{d})</span> scattering, state-to-state breakup amplitudes obtained from the present approach are compared with the benchmark results available in the literature. Results further confirm that pseudostate-extended CRC method is a viable and efficient approach for three-particle scattering.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01886-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140019586","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}
Few-Body SystemsPub Date : 2024-02-23DOI: 10.1007/s00601-024-01881-w
Yuliia Lashko, Victor Vasilevsky, Victor Zhaba
{"title":"Many-Channel Microscopic Model for Resonance Structure in (^{9})Be and (^{9})B: Astrophysical Insights","authors":"Yuliia Lashko, Victor Vasilevsky, Victor Zhaba","doi":"10.1007/s00601-024-01881-w","DOIUrl":"10.1007/s00601-024-01881-w","url":null,"abstract":"<div><p>This study presents a novel many-channel microscopic model to describe high-energy resonance states in <span>(^9)</span>Be and <span>(^9)</span>B, particularly addressing the cosmological lithium problem. The model integrates multiple three-cluster configurations and binary channels, unveiling 18 resonance states in each nucleus. Significant emphasis is placed on understanding resonance states’ impact on astrophysical S-factors, particularly in reactions involving <span>(^7)</span>Li, <span>(^7)</span>Be, <span>(^6)</span>Li, <span>(^3)</span>H, <span>(^3)</span>He and a deuteron. The results highlight the influence of resonance states and channel coupling on S-factors, offering new insights into nuclear reactions crucial for cosmological inquiries. This comprehensive analysis bridges theoretical predictions with experimental data, enhancing our understanding of nuclear processes in astrophysical contexts.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139946696","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}
Few-Body SystemsPub Date : 2024-02-20DOI: 10.1007/s00601-024-01879-4
Lauro Tomio, Anacé N. da Silva, S. Sabari, R. Kishor Kumar
{"title":"Dynamical Vortex Production and Quantum Turbulence in Perturbed Bose–Einstein Condensates","authors":"Lauro Tomio, Anacé N. da Silva, S. Sabari, R. Kishor Kumar","doi":"10.1007/s00601-024-01879-4","DOIUrl":"10.1007/s00601-024-01879-4","url":null,"abstract":"<div><p>Dynamical vortex production and quantum turbulence emerging in periodic perturbed quasi-two-dimensional (q2D) Bose–Einstein condensates are reported by considering two distinct time-dependent approaches. In both cases, dynamical simulations were performed by solving the corresponding 2D mean-field Gross-Pitaevskii formalism. (1) In the first model, a binary mass-imbalanced system is slightly perturbed by a stirring time-dependent elliptic external potential. (2) In the second model, for single dipolar species confined in q2D geometry, a circularly moving external Gaussian-shaped obstacle is applied in the condensate, at a fixed radial position and constant rotational speed, enough for the production of vortex–antivortex pairs. Within the first case, vortex patterns are crystalized after enough longer period, whereas in the second case, the vortex pairs remains interacting dynamically inside the fluid. In both cases, the characteristic Kolmogorov spectral scaling law for turbulence can be observed at some short time interval.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139926891","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}
Few-Body SystemsPub Date : 2024-02-17DOI: 10.1007/s00601-024-01880-x
Atul Varshney, Areg Ghazaryan, Artem Volosniev
{"title":"Classical ‘Spin’ Filtering with Two Degrees of Freedom and Dissipation","authors":"Atul Varshney, Areg Ghazaryan, Artem Volosniev","doi":"10.1007/s00601-024-01880-x","DOIUrl":"10.1007/s00601-024-01880-x","url":null,"abstract":"<div><p>Coupling of orbital motion to a spin degree of freedom gives rise to various transport phenomena in quantum systems that are beyond the standard paradigms of classical physics. Here, we discuss features of spin-orbit dynamics that can be visualized using a classical model with two coupled angular degrees of freedom. Specifically, we demonstrate classical ‘spin’ filtering through our model and show that the interplay between angular degrees of freedom and dissipation can lead to asymmetric ‘spin’ transport.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01880-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139926976","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}
Few-Body SystemsPub Date : 2024-02-16DOI: 10.1007/s00601-024-01882-9
Salvatore De Vincenzo
{"title":"Characterizing Klein–Fock–Gordon–Majorana Particles in (1 + 1) Dimensions","authors":"Salvatore De Vincenzo","doi":"10.1007/s00601-024-01882-9","DOIUrl":"10.1007/s00601-024-01882-9","url":null,"abstract":"<div><p>Theoretically, in (1 + 1) dimensions, one can have Klein–Fock–Gordon–Majorana (KFGM) particles. More precisely, these are one-dimensional (1D) Klein–Fock–Gordon (KFG) and Majorana particles at the same time. In principle, the wave equations considered to describe such first-quantized particles are the standard 1D KFG equation and/or the 1D Feshbach–Villars (FV) equation, each with a real Lorentz scalar potential and some kind of Majorana condition. The aim of this paper is to analyze the latter assumption fully and systematically; additionally, we introduce specific equations and boundary conditions to characterize these particles when they lie within an interval (or on a line with a tiny hole at a point). In fact, we write first-order equations in the time derivative that do not have a Hamiltonian form. We may refer to these equations as first-order 1D Majorana equations for 1D KFGM particles. Moreover, each of them leads to a second-order equation in time that becomes the standard 1D KFG equation when the scalar potential is independent of time. Additionally, we examine the nonrelativistic limit of one of the first-order 1D Majorana equations.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139763533","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}
Few-Body SystemsPub Date : 2024-02-14DOI: 10.1007/s00601-024-01883-8
Chandni Menapara, Ajay Kumar Rai
{"title":"Properties of N, (Delta ) Baryons with Screened Potential","authors":"Chandni Menapara, Ajay Kumar Rai","doi":"10.1007/s00601-024-01883-8","DOIUrl":"10.1007/s00601-024-01883-8","url":null,"abstract":"<div><p>N and <span>(Delta )</span>, the foremost member of octet and decuplet have always been under attention, providing the great platform to reveal QCD dynamics. From light to heavy hadrons, the hypercentral Constituent Quark Model (hCQM) has been used in a number of research. The research of light baryon resonances in this paper has been conducted using screened potential. The slopes and intercepts, as well as the Regge trajectories, have all been displayed. For some channels, the strong decay widths to pion have been estimated using the current masses.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139763531","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}
Few-Body SystemsPub Date : 2024-02-04DOI: 10.1007/s00601-023-01876-z
Pierre Descouvemont, Jérémy Dohet-Eraly
{"title":"Resonances in the R-Matrix Method","authors":"Pierre Descouvemont, Jérémy Dohet-Eraly","doi":"10.1007/s00601-023-01876-z","DOIUrl":"10.1007/s00601-023-01876-z","url":null,"abstract":"<div><p>The <i>R</i>-matrix method is widely used in scattering calculations. We present a simple extension that provides the energy and width of resonances by computing eigenvalues of a complex symmetric matrix. We briefly present the method and show some typical applications in two- and three-body systems. In particular, we discuss in more detail the <span>(^6)</span>He and <span>(^6)</span>Be three-body nuclei (<span>(alpha +n+n)</span> and <span>(alpha +p+p)</span>, respectively). We show that large bases are necessary to reach convergence of the bound-state or resonance properties.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139677913","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}