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Discrete Scale Invariance and U(2) Family of Two-Body Contact Interactions in One Dimension 一维双体接触相互作用的离散尺度不变性和 U(2) 族
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-03-29 DOI: 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}
引用次数: 0
The N(1440) Roper Resonance in the Nuclear Model with Explicit Mesons 具有显式介子的核模型中的 N(1440) 罗珀共振
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-03-28 DOI: 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}
引用次数: 0
Fine-Tuning of the Quasi-Bound (K^- pp) State 准约束 $$K^- pp$$ 状态的微调
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-03-26 DOI: 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}
引用次数: 0
Solution of Relativistic Feshbach–Villars Spin-1/2 Equations 相对论费斯巴赫-维拉尔自旋-1/2 方程的解法
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-03-23 DOI: 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,&nbsp;A. Garcia Vallejo,&nbsp;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}
引用次数: 0
Entanglement in Few-Nucleon Scattering Events 小核子散射事件中的纠缠
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-03-22 DOI: 10.1007/s00601-024-01897-2
Tanja Kirchner, Wael Elkamhawy, Hans-Werner Hammer
{"title":"Entanglement in Few-Nucleon Scattering Events","authors":"Tanja Kirchner,&nbsp;Wael Elkamhawy,&nbsp;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}
引用次数: 0
Measurement of Spin Correlation Coefficient ({varvec{C}}_{{varvec{y}},{varvec{y}}}) for Proton-(^{{textbf {3}}})He Elastic Scattering 测量质子 $$^{{textbf {3}}$ He 弹性散射的自旋相关系数 $${varvec{C}}_{{varvec{y}}, {varvec{y}}$
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-03-19 DOI: 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,&nbsp;S. Nakai,&nbsp;K. Sekiguchi,&nbsp;S. Goto,&nbsp;K. Hatanaka,&nbsp;Y. Hirai,&nbsp;T. Ino,&nbsp;D. Inomoto,&nbsp;M. Inoue,&nbsp;S. Ishikawa,&nbsp;M. Itoh,&nbsp;H. Kanda,&nbsp;H. Kasahara,&nbsp;Y. Maeda,&nbsp;K. Miki,&nbsp;K. Nonaka,&nbsp;H. J. Ong,&nbsp;H. Oshiro,&nbsp;D. Sakai,&nbsp;H. Sakai,&nbsp;S. Shibuya,&nbsp;D. T. Tran,&nbsp;H. Umetsu,&nbsp;Y. Utsuki,&nbsp;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}
引用次数: 0
Discrete Scaling in Non-integer Dimensions 非整数维离散缩放
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-03-19 DOI: 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,&nbsp;R. M. Francisco,&nbsp;D. S. Rosa,&nbsp;G. Krein,&nbsp;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}
引用次数: 0
Fermionic Dynamics in a (2+1)-Dimensional Rainbow Universe 2+1 维彩虹宇宙中的费米子动力学
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-03-15 DOI: 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,&nbsp;O. Aydogdu,&nbsp;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}
引用次数: 0
The Dunkl–Fokker–Planck Equation in (1+1) Dimensions 1+1$$ 维中的邓克尔-福克-普朗克方程
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-03-14 DOI: 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,&nbsp;D. Ojeda-Guillén,&nbsp;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}
引用次数: 0
The ({{varvec{ppp}}}) Correlation Function with a Screened Coulomb Potential 具有屏蔽库仑势的 ${${varvec{ppp}}$ 相关函数
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-03-13 DOI: 10.1007/s00601-024-01893-6
A. Kievsky, E. Garrido, M. Viviani, M. Gattobigio
{"title":"The ({{varvec{ppp}}}) Correlation Function with a Screened Coulomb Potential","authors":"A. Kievsky,&nbsp;E. Garrido,&nbsp;M. Viviani,&nbsp;M. Gattobigio","doi":"10.1007/s00601-024-01893-6","DOIUrl":"10.1007/s00601-024-01893-6","url":null,"abstract":"<div><p>The correlation function is a useful tool to study the interaction between hadrons. The theoretical description of this observable requires the knowledge of the scattering wave function, whose asymptotic part is distorted when two or more particles are charged. For a system of three (or more) particles, with more than two particles asymptotically free and at least two of them charged, the asymptotic part of the wave function is not known in a closed form. In the present study we introduce a screened Coulomb potential and analyze the impact of the screening radius on the correlation function. As we will show, when a sufficiently large screening radius is used, the correlation function results almost unchanged if compared to the case in which the unscreened Coulomb potential is used. This fact allows the use of free asymptotic matching conditions in the solution of the scattering equation simplifying noticeably the calculation of the correlation function. As an illustration we discuss the <i>pp</i> and <i>ppp</i> correlation functions.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140127182","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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