Few-Body SystemsPub Date : 2024-04-03DOI: 10.1007/s00601-024-01908-2
Takashi Inoue, HAL QCD Collaboration
{"title":"Influence of Discretization Error on the HAL QCD Baryon Forces","authors":"Takashi Inoue, HAL QCD Collaboration","doi":"10.1007/s00601-024-01908-2","DOIUrl":"10.1007/s00601-024-01908-2","url":null,"abstract":"<div><p>We studied influence of lattice discretization on a HAL QCD two-baryon force. We have carried out 3-flavor lattice QCD numerical calculations at a same quark mass with three different values of lattice spacing. We extracted a potential of interaction in the flavor singlet S-wave two-baryon sector, and drew out binding energy of a bound state in the sector, the H-dibaryon. It turned out that the qualitative nature of the interaction does not change at all, while strength of the interaction change considerably with respect to change of lattice spacing <i>a</i> at <i>a</i> around 0.1 [fm]. Accordingly, binding energy of the H-dibaryon depends to the lattice spacing. This result is consistent to that reported by Mainz lattice QCD group. This issue may indicate a challenging point common to lattice QCD studies of multi-hadron systems.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576368","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 : 2024-03-29DOI: 10.1007/s00601-024-01904-6
Satoshi Ohya
{"title":"Discrete Scale Invariance and U(2) Family of Two-Body Contact Interactions in One Dimension","authors":"Satoshi Ohya","doi":"10.1007/s00601-024-01904-6","DOIUrl":"10.1007/s00601-024-01904-6","url":null,"abstract":"<div><p>Because of the absence of indistinguishability constraint, interparticle interactions between nonidentical particles have in general much more variety than those between identical particles. In particular, it is known that there exists a <i>U</i>(2) family of two-body contact interactions between nonidentical particles in one spatial dimension. This paper studies breakdown of continuous scale invariance to discrete scale invariance under this <i>U</i>(2) family of two-body contact interactions in two-body problems of nonidentical particles on the half line. We show that, in contrast to the corresponding identical-particle problem, there exist two distinct channels that admit geometric sequences of two-body bound states.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01904-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576897","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 : 2024-03-28DOI: 10.1007/s00601-024-01899-0
D. V. Fedorov
{"title":"The N(1440) Roper Resonance in the Nuclear Model with Explicit Mesons","authors":"D. V. Fedorov","doi":"10.1007/s00601-024-01899-0","DOIUrl":"10.1007/s00601-024-01899-0","url":null,"abstract":"<div><p>We show that the N(1440) Roper resonance naturally appears in the nuclear model with explicit mesons as a structure in the continuum spectrum of the physical proton, which in this calculation is made of a bare nucleon dressed with a pion cloud.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01899-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140325795","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 : 2024-03-26DOI: 10.1007/s00601-024-01901-9
N. V. Shevchenko
{"title":"Fine-Tuning of the Quasi-Bound (K^- pp) State","authors":"N. V. Shevchenko","doi":"10.1007/s00601-024-01901-9","DOIUrl":"10.1007/s00601-024-01901-9","url":null,"abstract":"<div><p>Characteristics of the quasi-bound state in the <span>(K^- pp)</span> system strongly depend on the model of antikaon–nucleon interaction and weakly—on the nucleon–nucleon potential. In the present paper, dynamically exact Faddeev-type calculations with coupled <span>(bar{K}NN)</span> and <span>(pi varSigma N)</span> were performed using different models of the <span>(varSigma N)</span> and <span>(pi N)</span> interactions to study the influence of these “less important” interactions on the three-body result. In addition, dynamically exact three-body Faddeev-type AGS calculations with three coupled particle channels <span>(bar{K}NN - pi varSigma N - pi varLambda N)</span> were performed.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140313688","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 : 2024-03-23DOI: 10.1007/s00601-024-01902-8
D. Wingard, A. Garcia Vallejo, Z. Papp
{"title":"Solution of Relativistic Feshbach–Villars Spin-1/2 Equations","authors":"D. Wingard, A. Garcia Vallejo, Z. Papp","doi":"10.1007/s00601-024-01902-8","DOIUrl":"10.1007/s00601-024-01902-8","url":null,"abstract":"<div><p>We propose a computational method for relativistic spin-1/2 particles by solving the corresponding Feshbach–Villars equation. We have found that the Feshbach–Villars spin-1/2 Hamiltonian can be written as two spin-coupled Feshbach–Villars spin-0 Hamiltonians. For the solution method, we adopted an integral equation formalism. The potential operators are represented in a discrete Hilbert space basis and the relevant Green’s operator has been calculated by a matrix continued fraction.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140198665","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":"Entanglement in Few-Nucleon Scattering Events","authors":"Tanja Kirchner, Wael Elkamhawy, Hans-Werner Hammer","doi":"10.1007/s00601-024-01897-2","DOIUrl":"10.1007/s00601-024-01897-2","url":null,"abstract":"<div><p>We investigate the spin entanglement in few-nucleon scattering processes involving nucleons and deuterons. For this purpose, we consider the entanglement power introduced by Beane et al. We analyze different entanglement entropies as a basis to define the entanglement power of the strong interaction and calculate the corresponding entanglement powers for proton–neutron, neutron–deuteron, proton–deuteron, and deuteron–deuteron scattering. For the latter two processes, we also take into account the modification from the Coulomb interaction. In contrast to proton–neutron scattering, no universal low-energy features are evident in the spin entanglement in neutron–deuteron, proton–deuteron, and deuteron–deuteron scattering.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01897-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140198569","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 : 2024-03-19DOI: 10.1007/s00601-024-01891-8
A. Watanabe, S. Nakai, K. Sekiguchi, S. Goto, K. Hatanaka, Y. Hirai, T. Ino, D. Inomoto, M. Inoue, S. Ishikawa, M. Itoh, H. Kanda, H. Kasahara, Y. Maeda, K. Miki, K. Nonaka, H. J. Ong, H. Oshiro, D. Sakai, H. Sakai, S. Shibuya, D. T. Tran, H. Umetsu, Y. Utsuki, T. Wakasa
{"title":"Measurement of Spin Correlation Coefficient ({varvec{C}}_{{varvec{y}},{varvec{y}}}) for Proton-(^{{textbf {3}}})He Elastic Scattering","authors":"A. Watanabe, S. Nakai, K. Sekiguchi, S. Goto, K. Hatanaka, Y. Hirai, T. Ino, D. Inomoto, M. Inoue, S. Ishikawa, M. Itoh, H. Kanda, H. Kasahara, Y. Maeda, K. Miki, K. Nonaka, H. J. Ong, H. Oshiro, D. Sakai, H. Sakai, S. Shibuya, D. T. Tran, H. Umetsu, Y. Utsuki, T. Wakasa","doi":"10.1007/s00601-024-01891-8","DOIUrl":"10.1007/s00601-024-01891-8","url":null,"abstract":"<div><p>We present the measured spin correlation coefficient <span>(C_{y,y})</span> for <i>p</i>-<span>(^3)</span>He elastic scattering at 100 MeV at the angles <span>(theta _mathrm{c.m.}=46.9^circ )</span>–<span>(149.2^circ )</span> in the center of mass system. The experiment was performed using a 100 MeV polarized proton beam in conjunction with the polarized <span>(^3)</span>He target. Proton beams were injected to the target, and scattered protons were detected by using <i>E</i>-<span>(Delta E)</span> detectors which consisted of plastic and NaI(Tl) scintillators. The data are compared with rigorous numerical calculations based on realistic <i>NN</i> potentials as well as with the <span>(Delta )</span>-isobar excitation . The obtained results indicate that the <span>(C_{y,y})</span> expands the knowledge of the nuclear interactions with <span>(Delta )</span>-isobar or those including 3NFs that are masked in nucleon-deuteron elastic scattering.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140168298","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 : 2024-03-19DOI: 10.1007/s00601-024-01895-4
T. Frederico, R. M. Francisco, D. S. Rosa, G. Krein, M. T. Yamashita
{"title":"Discrete Scaling in Non-integer Dimensions","authors":"T. Frederico, R. M. Francisco, D. S. Rosa, G. Krein, M. T. Yamashita","doi":"10.1007/s00601-024-01895-4","DOIUrl":"10.1007/s00601-024-01895-4","url":null,"abstract":"<div><p>We explore the effect of a finite two-body energy in the discrete scale symmetry regime of two heavy bosonic impurities immersed in a light bosonic system. By means of the Born–Oppenheimer approximation in non-integer dimensions (<i>D</i>), we discuss the effective potential of the heavy-particles Schrodinger equation. We study how including the two-body energy in the effective potential changes the light-particles wave function and the ratio between successive Efimov states. We present the limit cycles associated with correlation between the energy of successive levels for the three and four-body systems. Our study is exemplified by considering a system composed of <i>N</i>-bosons, namely two Rubidium atoms interacting with <i>N</i>-2 Lithium ones (<span>(^7)</span>Li<span>(_{N-2}{-}^{87})</span>Rb<span>(_2)</span>), which represent compounds of current experimental interest.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140168562","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 : 2024-03-15DOI: 10.1007/s00601-024-01896-3
E. E. Kangal, O. Aydogdu, M. Salti
{"title":"Fermionic Dynamics in a (2+1)-Dimensional Rainbow Universe","authors":"E. E. Kangal, O. Aydogdu, M. Salti","doi":"10.1007/s00601-024-01896-3","DOIUrl":"10.1007/s00601-024-01896-3","url":null,"abstract":"<div><p>According to the rainbow formalism of general relativity, as a particle engages with space-time through its movement, it alters the fabric of space-time, and this manifests itself in rainbow functions. Therefore, the dynamics of the particle necessitate a redefinition within the newly textured space-time. In this context, an exact solution to the Dirac equation has been investigated to determine the dynamics of Dirac particles within the (2+1)-dimensional rotating symmetric rainbow universe in the present study. So, the equation representing the energy eigenvalues of Dirac particles and the corresponding eigenfunctions in terms of the associated Laguerre polynomials have been derived. Notably, it has been observed that the energies and corresponding eigenfunctions of spin-1/2 fermions change dramatically due to rainbow functions. The energy eigenvalue equation has been reformulated within the general relativity limit of the rainbow formalism, and the energy eigenvalue equation representing massless Dirac particles has been obtained in this limit.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140149522","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 : 2024-03-14DOI: 10.1007/s00601-024-01898-1
R. D. Mota, D. Ojeda-Guillén, M. A. Xicoténcatl
{"title":"The Dunkl–Fokker–Planck Equation in (1+1) Dimensions","authors":"R. D. Mota, D. Ojeda-Guillén, M. A. Xicoténcatl","doi":"10.1007/s00601-024-01898-1","DOIUrl":"10.1007/s00601-024-01898-1","url":null,"abstract":"<div><p>By replacing the spatial derivative with the Dunkl derivative, we generalize the Fokker-Planck equation in (1+1) dimensions. We obtain the Dunkl–Fokker–Planck eigenvalues equation and solve it for the harmonic oscillator plus a centrifugal-type potential. Furthermore, when the drift function is odd, we reduce our results to those of the recently developed Wigner–Dunkl supersymmetry.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140149600","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}