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Approximate Solutions of Schrödinger Equation for the Generalized Cornell Plus Some Exponential Potentials 广义康奈尔加一些指数势的薛定谔方程近似解
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-04-10 DOI: 10.1007/s00601-024-01920-6
Amal Ladjeroud, Badredine Boudjedaa
{"title":"Approximate Solutions of Schrödinger Equation for the Generalized Cornell Plus Some Exponential Potentials","authors":"Amal Ladjeroud,&nbsp;Badredine Boudjedaa","doi":"10.1007/s00601-024-01920-6","DOIUrl":"10.1007/s00601-024-01920-6","url":null,"abstract":"<div><p>Approximate solutions of Schrödinger equation are established, for some quasi-exactly solvable central potentials. Each potential is a sum of the generalized Cornell and an exponential potential. The radial equation is turned to the biconfluent Heun equation. The energy values are obtained explicitly. For given values of the parameters Schrödinger equation approximate eigensolutions are established.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576478","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
Mass Ratio Dependence of Three-Body Resonance Lifetimes in 1D and 3D 一维和三维三体共振寿命的质量比依赖性
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-04-09 DOI: 10.1007/s00601-024-01900-w
Lucas Happ, Pascal Naidon, Emiko Hiyama
{"title":"Mass Ratio Dependence of Three-Body Resonance Lifetimes in 1D and 3D","authors":"Lucas Happ,&nbsp;Pascal Naidon,&nbsp;Emiko Hiyama","doi":"10.1007/s00601-024-01900-w","DOIUrl":"10.1007/s00601-024-01900-w","url":null,"abstract":"<div><p>We present a theoretical study of resonance lifetimes in a two-component three-body system, specifically examining the decay of three-body resonances into a deep dimer and an unbound particle. Utilising the Gaussian expansion method together with the complex scaling method, we obtain the widths of these resonances from first principles. We focus on mass ratios in the typical range for mixtures of ultracold atoms and reveal an intriguing dependence of the resonance widths on the mass ratio: as the mass ratio increases, the widths exhibit oscillations on top of an overall decreasing trend. In particular, for some mass ratios the resonance width vanishes, implying that the resonance becomes in fact stable. Notably, near the mass ratio for Caesium–Lithium mixtures, we obtain nearly vanishing widths of the resonances which validates to treat them in the bound-state approximation. In addition, we perform our analysis of the resonance widths in both one and three dimensions and find a qualitatively similar dependence on the mass ratio.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576472","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 Story Around the First 4n Signal 关于第一个 4n 信号的故事
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-04-08 DOI: 10.1007/s00601-024-01907-3
F. Miguel Marqués
{"title":"The Story Around the First 4n Signal","authors":"F. Miguel Marqués","doi":"10.1007/s00601-024-01907-3","DOIUrl":"10.1007/s00601-024-01907-3","url":null,"abstract":"<div><p>The GANIL campaign around the first 4n signal was very peculiar. The beginning and end were both dictated by unexpected events that, unfortunately, do not fit within the streamlined format of standard scientific publications. However, they illustrate many aspects of how basic research should work, or at least does work. Therefore, I take this opportunity to share them with those not involved in the campaign, hoping that they will offer a better perspective of that research in particular and of basic research in general. As a disclaimer, this is only a personal recollection of those events.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576376","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
Experimental Studies of the Three Nucleon System Dynamics in the Proton Induced Deuteron Breakup at 108 MeV 108 MeV 质子诱导氘核破裂中的三核子系统动力学实验研究
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-04-07 DOI: 10.1007/s00601-024-01905-5
A. Łobejko, N. Kalantar-Nayestanaki, S. Kistryn, B. Kłos, A. Kozela, P. Kulessa, W. Parol, I. Skwira-Chalot, E. Stephan, A. Szadziński, A. Wilczek, B. Włoch, J. Zejma
{"title":"Experimental Studies of the Three Nucleon System Dynamics in the Proton Induced Deuteron Breakup at 108 MeV","authors":"A. Łobejko,&nbsp;N. Kalantar-Nayestanaki,&nbsp;S. Kistryn,&nbsp;B. Kłos,&nbsp;A. Kozela,&nbsp;P. Kulessa,&nbsp;W. Parol,&nbsp;I. Skwira-Chalot,&nbsp;E. Stephan,&nbsp;A. Szadziński,&nbsp;A. Wilczek,&nbsp;B. Włoch,&nbsp;J. Zejma","doi":"10.1007/s00601-024-01905-5","DOIUrl":"10.1007/s00601-024-01905-5","url":null,"abstract":"<div><p>The differential cross sections for the <span>(^2)</span>H(p,pp)n reaction have been measured for more than 80 angular configurations of the outgoing protons in the range of polar angles from 13<span>(^circ )</span> to 33<span>(^circ )</span> with a proton beam at 108 MeV. Data have been collected at the first experimental run in the Cyclotron Center Bronowice (CCB) at the Institute of Nuclear Physics PAS in Cracow, using the BINA detector setup. Analysis leading to determination of the breakup cross section values is described. Absolute normalization is obtained by normalization to the simultaneously measured <span>(^1)</span>H(d,d)p scattering events. Experimental results are compared to the state-of-the-art theoretical calculations. Global analysis shows significant influence of the Coulomb interaction and small effects of three nucleon force in the studied phase space region.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576454","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
Confinement of N-Body Systems and Non-integer Dimensions N 体系统的约束和非整数维度
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-04-06 DOI: 10.1007/s00601-024-01906-4
E. Garrido, A. S. Jensen
{"title":"Confinement of N-Body Systems and Non-integer Dimensions","authors":"E. Garrido,&nbsp;A. S. Jensen","doi":"10.1007/s00601-024-01906-4","DOIUrl":"10.1007/s00601-024-01906-4","url":null,"abstract":"<div><p>The squeezing process of a three-dimensional quantum system by use of an external deformed one-body oscillator potential can also be described by the <i>d</i>-method, without external field and where the dimension can take non-integer values. In this work we first generalize both methods to <i>N</i> particles and any transition between dimensions below 3. Once this is done, the use of harmonic oscillator interactions between the particles allows complete analytic solutions of both methods, and a direct comparison between them is possible. Assuming that both methods describe the same process, leading to the same ground state energy and wave function, an analytic equivalence between the methods arises. The equivalence between both methods and the validity of the derived analytic relation between them is first tested for two identical bosons and for squeezing transitions from 3 to 2 and 1 dimensions, as well as from 2 to 1 dimension. We also investigate the symmetric squeezing from 3 to 1 dimensions of a system made of three identical bosons. We have in all the cases found that the derived analytic relations between the two methods work very well. This fact permits to relate both methods also for large squeezing scenarios, where the brute force numerical calculation with the external field is too much demanding from the numerical point of view, especially for systems with more than two particles.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01906-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576462","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
Influence of Discretization Error on the HAL QCD Baryon Forces 离散化误差对 HAL QCD 重子力的影响
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-04-03 DOI: 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,&nbsp;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":null,"pages":null},"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}
引用次数: 0
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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
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