Few-Body Systems最新文献

{"title":"Recent Results on Proton Charge Radius and Polarizabilities","authors":"Haiyan Gao,&nbsp;Jingyi Zhou","doi":"10.1007/s00601-024-01878-5","DOIUrl":"10.1007/s00601-024-01878-5","url":null,"abstract":"<div><p>The proton charge radius and nucleon electromagnetic polarizabilities are fundamental properties probing the electromagnetic structure of the nucleons. Proton charge radius is directly related to the proton charge distribution and the nucleon electromagnetic polarizabilities characterize the response of the charge/magnetic constituents inside the nucleon to external electromagnetic fields. A precise understanding of these quantities is crucial not only for understanding how quantum chromodynamics (QCD) works in the non-perturbative QCD region but also for bound state quantum electrodynamics (QED) calculations of atomic energy levels. We discuss the experimental approaches employed in the recent decades to determine the proton charge radius and nucleon electromagnetic polarizabilities. We summarize the present status of the proton charge radius puzzle and polarizabilities measurements. Additionally, we provide prospects for various upcoming experiments.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01878-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139677959","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}

{"title":"ANCs of the Bound States of (^{16})O Deduced from Elastic (alpha )-(^{12})C Scattering Data","authors":"Shung-Ichi Ando","doi":"10.1007/s00601-023-01877-y","DOIUrl":"10.1007/s00601-023-01877-y","url":null,"abstract":"<div><p>Asymptotic normalization coefficients (ANCs) of the <span>(0_1^+)</span>, <span>(0_2^+)</span>, <span>(1_1^-)</span>, <span>(2_1^+)</span>, <span>(3_1^-)</span> (<span>(l_{i th}^pi )</span>) bound states of <span>(^{16})</span>O are deduced from the phase shift data of elastic <span>(alpha )</span>-<span>(^{12})</span>C scattering at low energies. <i>S</i> matrices of elastic <span>(alpha )</span>-<span>(^{12})</span>C scattering are constructed within cluster effective field theory (EFT), in which both bound and resonant states of <span>(^{16})</span>O are considered. Parameters in the <i>S</i> matrices are fitted to the precise phase shift data below the <i>p</i>-<span>(^{15})</span>N breakup energy for the partial waves of <span>(l=0,1,2,3,4,5,6)</span>, and the ANCs are calculated by using the wave function normalization factors of <span>(^{16})</span>O propagators for <span>(l=0,1,2,3)</span>. We review the values of ANCs, which are compared with other results in the literature, and discuss uncertainties of the ANCs obtained from the elastic <span>(alpha )</span>-<span>(^{12})</span>C scattering data in cluster EFT.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139552803","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":"Harmonic Oscillator in Cosmic String Space-Time with Dislocation Under a Repulsive (1/r^2) Potential and Rotational Frame Effects","authors":"Faizuddin Ahmed","doi":"10.1007/s00601-023-01874-1","DOIUrl":"10.1007/s00601-023-01874-1","url":null,"abstract":"<div><p>In this paper, we investigate the behavior of a quantum harmonic oscillator in the presence of a repulsive inverse-square potential within a cosmic string space-time that contains a dislocation. Our objective is to find eigenvalue solutions of this quantum system by analytically solving the Schrödinger wave equation through the confluent hypergeometric function. Furthermore, we explore the effects of a rotational frame on the quantum harmonic oscillator within this specific space-time geometry, incorporating the same repulsive potential. Following a similar procedure, we successfully determine the eigenvalue solutions for this quantum system. Importantly, our results reveal that the eigenvalue solutions are significantly influenced by four key parameters: the cosmic string, the dislocation parameter associated with the geometry, the repulsive inverse-square potential, and the constant angular speed of the rotating frame. The presence of these parameters induces a shift in the energy spectrum, thereby causing modifications to the behavior of the quantum harmonic oscillator compared to the known results.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139508813","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":"Modified Attractive Inverse-Square Potential in the Induced Electric Dipole System","authors":"K. Bakke,&nbsp;J. G. G. S. Ramos","doi":"10.1007/s00601-023-01873-2","DOIUrl":"10.1007/s00601-023-01873-2","url":null,"abstract":"<div><p>We examine the spatial distribution of electric charges within an extended, non-conductive cylinder featuring an inner radius denoted as <span>(r_{0})</span>. Our investigation unveils the emergence of a distinct modified attractive-inverse square potential, arising from the intricate interplay between the electric field and the induced electric dipole moment of a neutral particle. This modified potential notably departs from the conventional inverse-square potential, showcasing an additional term proportional to <span>(r^{-1})</span>. As a result, we present compelling evidence for the realization of a discrete energy spectrum within this intricate system.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139434893","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":"Three-Body Recombination Between Helium and Silver Atoms at Cold Collision Energies","authors":"Hiroya Suno","doi":"10.1007/s00601-023-01875-0","DOIUrl":"10.1007/s00601-023-01875-0","url":null,"abstract":"<div><p>Cold three-body recombination between helium and silver atoms is studied using hyperspherical coordinates. The three-body Schrodinger equation, represented in the slow variable discretization approach at short distances and in the adiabatic method at large distances and using the potential-energy surface represented as the addition of realistic He-He and He-Ag pair interaction potentials, is solved using the <i>R</i>-matrix propagation method, in order to numerically calculate the three-body recombination rates for the He+He+Ag<span>(rightarrow )</span>He<span>(_2)</span>+Ag and He+He+Ag<span>(rightarrow )</span>HeAg+He processes. Not only zero-angular momentum <span>(J=0)</span> states but also <span>(J&gt;0)</span> states are considered in the calculations, allowing for treating the recombination processes at collision energies beyond the threshold regime. The results of our calculations will be presented and discussed.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139376392","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":"Mass Dependence of Binding Energy in Three-Nucleon System","authors":"Igor Filikhin,&nbsp;Yury B. Kuzmichev,&nbsp;Branislav Vlahovic","doi":"10.1007/s00601-023-01872-3","DOIUrl":"10.1007/s00601-023-01872-3","url":null,"abstract":"<div><p>We consider the <span>(^{3}hbox {H})</span> nucleus within the <i>AAA</i> model that includes mass identical particles interacting through a phenomenological nuclear potential. We extend the three-nucleon Hamiltonian <span>(beta {widehat{{H}}}_{0}+{V}_{nucl.})</span> using the parameter <span>(beta =m_{0}/{m^*})</span> that determines the variations <span>(m^*)</span> of the averaged nucleon mass <span>(m_{0} = (m_{n} + m_{p})/2)</span>. It was found that the <span>(^{3}hbox {H})</span> binding energy is a linear function of the mass <span>({m^*}/m_0)</span> when it changes within the ranges <span>(0.9{&lt;}{m^*}{/m}_{0}{&lt;}1.25)</span>. Thus, the relation between energy and mass is expressed by an analogy to the well-known formula <span>(E=mc^{2})</span>. This effect takes a place in small vicinity around the experimentally motivated value of the nucleon mass due to Taylor expanding the general relation <span>(Esim 1/m)</span>. The equivalent mass of a nucleon, defined by using this energy-mass dependence, can phenomenologically describe the effect of the proton/nucleon mass difference on 3<i>N</i> binding energy.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138819216","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":"Electromagnetic Current Operators for Phenomenological Relativistic Models","authors":"W. N. Polyzou","doi":"10.1007/s00601-023-01871-4","DOIUrl":"10.1007/s00601-023-01871-4","url":null,"abstract":"<div><p>Phenomenological Poincaré invariant quantum mechanical models can provide an efficient description of the dynamics of strongly interacting particles that is frame independent and consistent with spectral and scattering observables. These models are representation dependent and in order to apply them to reactions with electromagnetic probes it is necessary to use a consistent electromagnetic current operator. The purpose of this work is to use local gauge invariance to construct consistent strong current operators. Current operators are constructed from a model Hamiltonian by replacing momentum operators in the Weyl representation by gauge covariant derivatives. The construction provides a systematic method to construct expressions for current operators that are consistent with relativistic models of strong interaction dynamics.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138713686","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":"Detailed Studies of 12C Structure and Reactions","authors":"Lorenzo Fortunato","doi":"10.1007/s00601-023-01870-5","DOIUrl":"10.1007/s00601-023-01870-5","url":null,"abstract":"<div><p>We are reporting here on a series of theoretical investigations with both algebraic models and geometric cluster models of alpha clusters in <span>(^{12})</span>C, focusing on the structure of the ground state, the first excited <span>(0^+)</span> state and the second excited <span>(2^+)</span> state with the purpose, in particular, of establishing if the rotational bands are compatible with rigid structures or rather if they are quantum mixture of different configurations. In a first series of paper (Vitturi et al., Transition densities and form factors in the triangular <span>(alpha )</span>-cluster model of 12C with application to 12C+<span>(alpha )</span> scattering. Phys Rev C 101:014315, 2020; Casal et al., Alpha-induced inelastic scattering and alpha-transfer reactions in 12C and 16O within the Algebraic Cluster Model. Eur Phys J A 57:33, 2021), we assume a rigid equilateral triangle shape and study in detail several properties that descend from the algebraic framework, such as the energy spectrum, electromagnetic observables and calculate the transition densities in order to extract elastic and inelastic cross-sections for various processes. In a second series of papers (Moriya et al., Three-<span>(alpha )</span> Configurations in the 0<span>(^+)</span> States of 12C. Few-Body Syst 62:46, 2021; Moriya et al., Three-<span>(alpha )</span> configurations of the second <span>(J^pi )</span> = 0<span>(^+)</span> state in 12C. Eur. Phys J A 59:37, 2023), we solve the three-body Schrödinger equation with orthogonality conditions using the stochastic variational method with correlated Gaussian basis functions. The two-body density distributions indicate that the main configurations of both the <span>(0_2^+)</span> and <span>(2_2^+)</span> states are acute iscosceles triangle shapes coming from <span>(^8)</span>Be(<span>(0^+)</span>)+<span>(alpha )</span> configurations and find some hints that the second <span>(2^+)</span> state is not an ideal rigid rotational band member of the Hoyle state band.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138491337","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":"Ultra Low Energy Nuclear Synthesis via Three-Body Resonances in Cuboctahedron CsH(_2)Pd(_{12}) Cluster","authors":"Shinsho Oryu,&nbsp;Takashi Watanabe,&nbsp;Yasuhisa Hiratsuka","doi":"10.1007/s00601-023-01868-z","DOIUrl":"10.1007/s00601-023-01868-z","url":null,"abstract":"<div><p>The three-body nuclear and molecular resonances for <span>(^{135}_{~55})</span>Cs+<span>(^2_1)</span>H+<span>(^2_1)</span>H, and <span>(^{133}_{~55})</span>Cs+<span>(^3_1)</span>H+<span>(^3_1)</span>H systems are calculated in “cuboctahedron <span>(^{135}_{~55})</span>Cs<span>(^2_1)</span>H<span>(_2)</span> <span>(^textrm{A}_{46})</span>Pd<span>(_{12})</span> and <span>(^{133}_{~55})</span>Cs<span>(^3_1)</span>H<span>(_2)</span> <span>(^textrm{A}_{46})</span>Pd<span>(_{12})</span> clusters” in a very wide range from 0.01[fm] to several hundreds of nm in “one stretch” with more than “100 significant figures”, where the mass number A of Pd could be 102, 104, 105, 106, 108, 110 but neglected hereafter, because Pd isn’t concerned directly with the nuclear reaction. We obtained several new “three-ion resonance states” between the expected molecular CsH<span>(_2)</span> ground state and the first excited state in cuboctahedron CsH<span>(_2)</span>Pd<span>(_{12})</span> cluster, where H represents either a <span>(^1_1)</span>H, a <span>(^2_1)</span>H, or a <span>(^3_1)</span>H, respectively. The molecular “ground and the first excited states” in the cluster are derived by the Kohn-Sham equation or the ADF package which could mainly describe many electrons rather than cores of ions. We found that the E2 transition times from some CsH<span>(_2)</span> <span>((7/2^+))</span> resonance states (or the IOS states) to the nuclear <span>(^{139}_{~57})</span>La <span>((7/2^+))</span> ground state are about <span>(tau =10^{-1}sim 10^{-6})</span>sec for five traditional potentials, and <span>(tau =10^{-2}sim 10^{-8})</span>sec for six potentials with our long range three-body force (3BLF) where the “molecular resonances” can strongly interfere with the “nuclear resonances”. The thermal nuclear “critical reaction value” (or fusion constant) and/or ultra low energy corresponding value: <span>(C_mathrm{high/low})</span>=(duration time)<span>(times )</span>(density)<span>(times )</span>(energy or temperature) are compared. It was found that <span>(C_textrm{low})</span> is almost the same order as <span>(C_textrm{high})</span> or more. Finally, an ignition method for the synthesis will be discussed.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138431550","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":"Calculation of Relativistic Single-Particle States","authors":"D. Wingard,&nbsp;B. Kónya,&nbsp;Z. Papp","doi":"10.1007/s00601-023-01869-y","DOIUrl":"10.1007/s00601-023-01869-y","url":null,"abstract":"<div><p>A computational method is proposed to calculate bound and resonant states by solving the Klein–Gordon and Dirac equations for real and complex energies, respectively. The method is an extension of a non-relativistic one, where the potential is represented in a Coulomb–Sturmian basis. This basis facilitates the exact analytic evaluation of the Coulomb Green’s operator in terms of a continued fraction. In the extension to relativistic problems, we cast the Klein–Gordon and Dirac equations into an effective Schrödinger form. Then the solution method is basically an analytic continuation of non-relativistic quantities like the angular momentum, charge, energy and potential into the effective relativistic counterparts.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796490","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}