{"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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}
Few-Body SystemsPub Date : 2024-03-13DOI: 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, E. Garrido, M. Viviani, 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":null,"pages":null},"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}
Few-Body SystemsPub Date : 2024-03-13DOI: 10.1007/s00601-024-01892-7
Izabela Skwira-Chalot, Nasser Kalantar-Nayestanaki, Stanisław Kistryn, Adam Kozela, Elżbieta Stephan
{"title":"Dynamics of Three-Nucleon Systems at 100 MeV","authors":"Izabela Skwira-Chalot, Nasser Kalantar-Nayestanaki, Stanisław Kistryn, Adam Kozela, Elżbieta Stephan","doi":"10.1007/s00601-024-01892-7","DOIUrl":"10.1007/s00601-024-01892-7","url":null,"abstract":"<div><p>Differential cross section for the <span>(^1)</span>H(d,pp)n deuteron breakup reaction is sensitive to dynamical ingredients such as three-nucleon force or Coulomb force and allows for thorough tests of theoretical potential models describing the interaction in the three nucleon systems. The analysis of the experimental data collected for the breakup reaction at the beam energy of 100 MeV has been performed and the cross section results for selected configurations are presented. They are in good agreement with calculations based on the realistic potentials and state-of-the-art calculations within the Chiral Effective Field Theory framework.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140127065","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 : 2024-03-12DOI: 10.1007/s00601-024-01885-6
R. Ogul, A. S. Botvina, M. Bleicher, N. Buyukcizmeci, A. Ergun, H. Imal
{"title":"Isospin Correlations in Isotope Yields at Intermediate and High Energy Heavy-Ion Collisions","authors":"R. Ogul, A. S. Botvina, M. Bleicher, N. Buyukcizmeci, A. Ergun, H. Imal","doi":"10.1007/s00601-024-01885-6","DOIUrl":"10.1007/s00601-024-01885-6","url":null,"abstract":"<div><p>Isotopic yields of fragments emitted from projectile sources in peripheral collisions at Fermi and relativistic energy regimes are studied in the framework of the statistical multifragmentation model for an ensemble of excited both projectile and midrapidity sources. The data of FAZIA and FRS experiments and results of their theoretical analyses are compared together with each other to investigate the differences and similarities in both energy regimes. The importance of possible applications of the present results for the production of new exotic nuclei including hypernuclei in relativistic peripheral collisions that may have a broad yield distributions extending beyond the proton and neutron driplines, is emphasized.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140126935","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 : 2024-03-11DOI: 10.1007/s00601-024-01890-9
B. Kłos, for the WASA-at-COSY Collaboration
{"title":"Experimental Study of Three-Nucleon Dynamics in the dp Breakup Reaction","authors":"B. Kłos, for the WASA-at-COSY Collaboration","doi":"10.1007/s00601-024-01890-9","DOIUrl":"10.1007/s00601-024-01890-9","url":null,"abstract":"<div><p>The data analysis is in progress with the aim to determine the differential cross sections for the <span>(^{1})</span>H(<i>d</i>, <i>pp</i>)<i>n</i> breakup reaction at four deuteron beam energies between 300 and 400 MeV. The data have been measured with the use of the WASA detector at COSY-Jülich. This work is focused on the beam energy of 380 MeV (190 MeV/nucleon). Set of proton-proton coincidences registered at the Forward Detector is analysed on a dense grid of kinematic variables. The one of the main steps of the analysis is efficiency study. Their impact on the final accuracy of the result is discussed.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140127064","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 : 2024-03-10DOI: 10.1007/s00601-024-01894-5
Sang-Ho Kim, T.-S. H. Lee, Seung-il Nam, Yongseok Oh
{"title":"(phi ) Meson Photoproduction on the Nucleon and ({}^4)He Targets","authors":"Sang-Ho Kim, T.-S. H. Lee, Seung-il Nam, Yongseok Oh","doi":"10.1007/s00601-024-01894-5","DOIUrl":"10.1007/s00601-024-01894-5","url":null,"abstract":"<div><p>We study the reaction mechanism of <span>(phi )</span>-meson photoproduction on the nucleon and <span>({}^4)</span>He targets by using a dynamical model based on a Hamiltonian. In addition to the dominant contribution of the Pomeron exchange, various meson exchanges are considered in the <i>t</i> channel to describe the CLAS data in the low energy region <span>({sqrt{s}} = (1.97 - 2.84))</span> GeV. The direct <span>(phi )</span> radiations are taken into account in the <i>s</i>- and <i>u</i>-channels. The backward structures at <span>({sqrt{s}} approx 2.1)</span> and 2.3 GeV are well reproduced by the inclusion of the <i>s</i>-channel <span>(N(2000,5/2^+))</span> and <span>(N(2300,1/2^+))</span> resonances, respectively. We also consider the final <span>(phi N)</span> interactions by the gluon exchange, the direct <span>(phi N)</span> interactions, and the box diagrams arising from the couplings with the <span>(pi N)</span>, <span>(rho N)</span>, <span>(K Lambda )</span>, and <span>(K Sigma )</span> channels. The effects of the final state interactions are found to be very weak. Then the resulting Hamiltonian is used to study the coherent <span>(gamma {}^4{textrm{He}} rightarrow phi {}^4{textrm{He}})</span> reaction within the distorted-weave impulse approximation. The calculated differential cross sections account for the LEPS data quite well.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140097376","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}