Few-Body SystemsPub Date : 2024-05-06DOI: 10.1007/s00601-024-01923-3
Harald W. Grießhammer
{"title":"Universality for Three Bosons with Large, Negative Effective Range: Aspects and Addenda","authors":"Harald W. Grießhammer","doi":"10.1007/s00601-024-01923-3","DOIUrl":"10.1007/s00601-024-01923-3","url":null,"abstract":"<div><p>Resummed-range Effective Field Theory is the consistent non-relativistic Effective Field Theory of point interactions in systems with large two-body scattering length <i>a</i> and an effective range <span>(r_0)</span> large in magnitude but negative. Its leading order is non-perturbative, and its observables depend only on the dimensionless ratio <span>(xi :=2r_0/a)</span> once <span>(|r_0|)</span> is chosen as base unit. This presentation highlights aspects for three identical spinless bosons and adds details to a previous discussion (Griesshammer and van Kolck in Eur Phys J A 59:289, 2023). At leading order, no three-body interaction is needed. A ground state exists only in the range <span>(0.366ldots ge xi ge -8.72ldots )</span>, and excited states display self-similarity and Discrete Scale Invariance, with small corrections for nonzero <span>(r_0)</span>.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140889613","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 : 2024-05-03DOI: 10.1007/s00601-024-01926-0
F. Miguel Marqués
{"title":"Correction: The Story Around the First 4n Signal","authors":"F. Miguel Marqués","doi":"10.1007/s00601-024-01926-0","DOIUrl":"10.1007/s00601-024-01926-0","url":null,"abstract":"","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409644","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 : 2024-05-03DOI: 10.1007/s00601-024-01925-1
Satoshi Ohya
{"title":"Correction: Discrete Scale Invariance and U(2) Family of Two-Body Contact Interactions in One Dimension","authors":"Satoshi Ohya","doi":"10.1007/s00601-024-01925-1","DOIUrl":"10.1007/s00601-024-01925-1","url":null,"abstract":"","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01925-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141014939","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 : 2024-04-29DOI: 10.1007/s00601-024-01909-1
Salvatore Simone Perrotta, Jesús Casal, Stefano Burrello, Maria Colonna, José Antonio Lay
{"title":"(^6{textrm{Li}}) as a Three-Body System in the (p,(^3{textrm{He}})) Reaction at Astrophysical Energies","authors":"Salvatore Simone Perrotta, Jesús Casal, Stefano Burrello, Maria Colonna, José Antonio Lay","doi":"10.1007/s00601-024-01909-1","DOIUrl":"10.1007/s00601-024-01909-1","url":null,"abstract":"<div><p>Several astrophysical processes are governed by the occurrence of nuclear reactions involving light nuclei at energies below the Coulomb barrier. Among other effects, their understanding is challenged by the appearance of clustered structures in the ground-state configuration of some of these nuclei, which may have a significant impact on the reaction cross section. In this contribution, we focus on the <span>(^6{textrm{Li}})</span>(<span>({textrm{p}})</span>, <span>(^3{textrm{He}})</span>)<span>(^4{textrm{He}})</span> reaction, to probe the role of clustered configurations of <span>(^6{textrm{Li}})</span>. In particular, we consider a three-body ab-initio calculation, based on the hyperspherical harmonics (HH) method, of the <span>(^6{textrm{Li}})</span> wave function (WF), together with a more phenomenological three-body model. We observe that the HH WF entails a degree of clustering much larger than obtained from the phenomenological WFs. However, the corresponding reaction cross section, evaluated as a direct two-nucleon transfer in distorted-wave Born approximation, still follows the scaling with the clustering strength already pointed out in a previous work (Perrotta et al. in Phys Rev C 108(4), 044614, 2023, https://doi.org/10.1103/PhysRevC.108.044614) and exhibits an energy trend very similar to that obtained with realistic phenomenological WFs. This opens up interesting perspectives towards constraining the extent of clustering effects in ground state configurations from the comparison to cross-section experimental data.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140812750","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 : 2024-04-29DOI: 10.1007/s00601-024-01922-4
Souichi Ishikawa
{"title":"Structure of Resonance States in Three-Alpha Systems","authors":"Souichi Ishikawa","doi":"10.1007/s00601-024-01922-4","DOIUrl":"10.1007/s00601-024-01922-4","url":null,"abstract":"<div><p>Geometrical structures of low-energy states in the <span>({}^{12})</span>C nucleus are investigated using density distributions obtained from three <span>(alpha )</span>-particle wave functions calculated for a set of phenomenological <span>(2alpha )</span>- and <span>(3alpha )</span> potentials by Faddeev technique. Calculated shapes of triangles that three <span>(alpha )</span>-particles form are classified to either an equilateral triangle, an isosceles triangle, or a mixture of these with various sizes, which may characterize the excitation mechanism of the states</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140831627","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 : 2024-04-18DOI: 10.1007/s00601-024-01914-4
Netai Das, Arijit Ghoshal, Yew Kam Ho
{"title":"Positronium Negative Ion Embedded in Non-ideal Classical Plasmas: Doubly Excited Singlet S States","authors":"Netai Das, Arijit Ghoshal, Yew Kam Ho","doi":"10.1007/s00601-024-01914-4","DOIUrl":"10.1007/s00601-024-01914-4","url":null,"abstract":"<div><p>The effects of the non-ideality (NI) of the classical plasmas on the doubly excited singlet S states in the positronium negative ion (Ps<span>(^-)</span>) are investigated. The organised effect of the plasma is taken care of by means of a pseudopotential which is characterised by the Debye length <i>D</i> and the non-ideality parameter <span>(gamma )</span>. Using an extensive wavefunction within the framework of the stabilization method, it has been possible to identify four doubly excited states (DES) in Ps<span>(^-)</span>. The convergence of the energy and the width of those states are corroborated by increasing the number of terms in the wavefunction. Our present calculation for the plasma-free case reproduces the established results. An inclusive study is made to quantify and qualify the changes experienced by the energies and the widths of those states due to the influence of the NI over a wide range. It is observed that the energy of each DES increases and the width of each DES diminishes due to the effect of the increasing NI of the plasma.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140626110","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 : 2024-04-15DOI: 10.1007/s00601-024-01911-7
Roman Skibiński, Henryk Witała, Jacek Golak
{"title":"Impact of the (hbox {N}^4hbox {LO}) Short-Range Three-Nucleon Force Components on the Nucleon-Deuteron Spin Correlation Coefficients","authors":"Roman Skibiński, Henryk Witała, Jacek Golak","doi":"10.1007/s00601-024-01911-7","DOIUrl":"10.1007/s00601-024-01911-7","url":null,"abstract":"<div><p>The spin correlation coefficients in the neutron-deuteron elastic scattering process at incoming neutron laboratory energies <span>(hbox {E}=10)</span>, 135, 190, and 250 MeV are determined by solving the momentum space three-nucleon (3N) Faddeev equations. The chiral two-nucleon (2N) interaction with momentum-space semi-local (SMS) regularization up to the fifth order of chiral expansion (<span>(hbox {N}^4hbox {LO})</span>), supplemented by the F-waves terms from the sixth order (<span>(hbox {N}^5hbox {LO})</span>), is used. Additionally, the consistent 3N force (3NF) at the third order of chiral expansion, supplemented by the short-range contributions from <span>(hbox {N}^4hbox {LO})</span> is applied. As a results, we give predictions for the complete set of spin correlation coefficients <span>(C_{alpha ,beta })</span>. We find that the effect of the investigated three-nucleon <span>(hbox {N}^4hbox {LO})</span> components amounts up to several dozen percent, depending on reaction energy, scattering angle and type of spin correlation coefficient itself. Our results can serve as a guide for future measurements of the spin correlation coefficients.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01911-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576359","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 : 2024-04-15DOI: 10.1007/s00601-024-01910-8
Kimiko Sekiguchi
{"title":"Experiments of Few-Nucleon Scattering to Explore Three-Nucleon Forces","authors":"Kimiko Sekiguchi","doi":"10.1007/s00601-024-01910-8","DOIUrl":"10.1007/s00601-024-01910-8","url":null,"abstract":"<div><p>Few-nucleon scattering offers a good opportunities to study dynamical aspects of three-nucleon forces, that are momentum, spin and isospin dependent. In the paper, the experimental results of deuteron-proton elastic scattering at <span>(sim ~mathrm 100)</span> MeV/nucleon obtained in the course of the study are presented. The experimental study of few-nucleon scattering has been recently extended to the proton-<span>(^3 textrm{He})</span> scattering with the aim of approaching the isospin <span>(T=3/2)</span> channel in three-nucleon forces. The data are in comparison with the rigorous numerical calculations based on state-of-the-art nuclear potentials with three-nucleon forces.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576453","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":"A New Quantization of Hadron System and Ultra-Low Energy Nuclear Fusion","authors":"Shinsho Oryu, Takashi Watanabe, Yasuhisa Hiratsuka, Masayuki Takeda","doi":"10.1007/s00601-024-01912-6","DOIUrl":"10.1007/s00601-024-01912-6","url":null,"abstract":"<div><p>A new quantization is proposed for an energy-dependent particle exchange potential. The quantum number corresponds not only to the branch point of the potential cut, but also to the index of a long-range hadron potential. By using the long-range potential, an ultra-low energy nuclear (ULEN) reaction is investigated. It was found that a three-body Cs + H + H plasma in a Pd<span>(_{12})</span> cage could be excited to <span>(1.36times 10^{-4})</span> eV <span>(sim 300)</span> eV by an electric current where the long-range potential gives one or two order larger reaction probability than the others. A ULEN reaction was compared with the thermo-nuclear fusion by using well-known critical fusion constant defined by <span>(C_{high/low})</span> = (a duration time) <span>(times )</span> (a plasma density) <span>(times )</span> (a temperature). We found that <span>(C_{low})</span> is almost the same as <span>(C_{high})</span> or more. We concluded that the ULEN synthesis could occur with a high-pressure hydrogen circumstance and a high-density CsH<span>(_2)</span>Pd<span>(_{12})</span> cluster.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576636","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 : 2024-04-12DOI: 10.1007/s00601-024-01915-3
A. M. Gasparyan, E. Epelbaum, N. Jacobi, Y. Komissarova
{"title":"Examples and Counterexamples of Renormalizability of an EFT in the Nonperturbative Regime","authors":"A. M. Gasparyan, E. Epelbaum, N. Jacobi, Y. Komissarova","doi":"10.1007/s00601-024-01915-3","DOIUrl":"10.1007/s00601-024-01915-3","url":null,"abstract":"<div><p>An important feature of an effective field theory is its renormalizability, which implies that one can apply a certain power counting to renormalized quantities and perform a systematic expansion of the calculated observables in terms of some small parameter. When nonperturbative effects become relevant, the requirement of renormalizability imposes nontrivial constraints on a choice of the effective interaction and the renormalization scheme. We discuss several instructive examples and counterexamples of renormalizability to illustrate potential issues one has to deal with in realistic calculations such as nuclear chiral effective field theory.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01915-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576374","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}