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Approximate Bound States for the Dunkl–Schrödinger Equation with Symmetrized Hulthén Potential 具有对称 Hulthén 势的 Dunkl-Schrödinger 方程的近似边界状态
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-09-24 DOI: 10.1007/s00601-024-01960-y
Axel Schulze-Halberg
{"title":"Approximate Bound States for the Dunkl–Schrödinger Equation with Symmetrized Hulthén Potential","authors":"Axel Schulze-Halberg","doi":"10.1007/s00601-024-01960-y","DOIUrl":"10.1007/s00601-024-01960-y","url":null,"abstract":"<div><p>We construct approximate bound state solutions to the one-dimensional Schrödinger equation within the Dunkl formalism for a symmetrized Hulthén potential. Our method is based on reducing the governing equation to conventional Schrödinger form, such that an approximation to an inverse quadratic term becomes applicable. Conditions for computing stationary energies, as well as for establishing boundedness and normalizability of our solutions are discussed.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413506","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
Perturbative Analysis of the Three Gluon Vertex in Different Gauges at One-Loop 一环不同量规下三胶子顶点的惯性分析
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-09-23 DOI: 10.1007/s00601-024-01956-8
J. Alejandro Alfaro, L. X. Gutiérrez-Guerrero, Luis Albino, Alfredo Raya
{"title":"Perturbative Analysis of the Three Gluon Vertex in Different Gauges at One-Loop","authors":"J. Alejandro Alfaro,&nbsp;L. X. Gutiérrez-Guerrero,&nbsp;Luis Albino,&nbsp;Alfredo Raya","doi":"10.1007/s00601-024-01956-8","DOIUrl":"10.1007/s00601-024-01956-8","url":null,"abstract":"<div><p>In this study, we present a perturbative analysis of the three-gluon vertex for a kinematical symmetric configuration in dimensions <span>(n=4-2epsilon )</span> and different covariant gauges. Our study can describe the form factors of the three gluon vertex in a wide range of momentum. We employ a momentum subtraction scheme to define the renormalized vertex. We give an in-depth review of three commonly used vector representations for the vertex, and explicitly show the expressions to change from one representation to the other. Although our estimates are valid only in the perturbative regime, we extend our numerical predictions to the infrared domain and show that in <span>(n=4)</span> some nonperturbative properties are qualitatively present already at perturbation theory. In particular, we find a critical gauge above which the leading form factor displays the so-called zero crossing. We contrast our findings to those of other models and observe a fairly good agreement. \u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413384","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
Correction to: Calculable Microscopic Theory for (^{12})C((alpha , gamma ))(^{16})O Cross Section near Gamow Window Correction to：伽莫窗附近的 (^{12})C((α , gamma))(^{16})O 截面的可计算微观理论
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-09-23 DOI: 10.1007/s00601-024-01957-7
Y. Suzuki
{"title":"Correction to: Calculable Microscopic Theory for (^{12})C((alpha , gamma ))(^{16})O Cross Section near Gamow Window","authors":"Y. Suzuki","doi":"10.1007/s00601-024-01957-7","DOIUrl":"10.1007/s00601-024-01957-7","url":null,"abstract":"","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413345","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
Algebraic Approach to a Special Four-Body Solvable Model 特殊四体可解模型的代数方法
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-09-20 DOI: 10.1007/s00601-024-01958-6
Z. Bakhshi, S. Khoshdooni, H. Rahmati
{"title":"Algebraic Approach to a Special Four-Body Solvable Model","authors":"Z. Bakhshi,&nbsp;S. Khoshdooni,&nbsp;H. Rahmati","doi":"10.1007/s00601-024-01958-6","DOIUrl":"10.1007/s00601-024-01958-6","url":null,"abstract":"<div><p>A special four-body quantum model in one dimension with a discrete spectrum was introduced, including harmonic oscillator and three-body interaction potentials. After reducing one degree of freedom by using the Jacobian transformation in the center of mass, the desired Hamiltonian is examined in spherical coordinate with three degrees of freedom. To investigate this model algebraically, using the gauge rotation with the ground state wave function, the relation between the Hamiltonian and the generators of <span>(sl(3, {mathbb {R}}))</span> and <span>(sl(2, {mathbb {R}}))</span> Lie algebras is examined. Finally, this algebraic form helps us to get the Hamiltonian eigenvalues.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412741","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
Three-Body Forces in Oscillator Bases Expansion 振荡器基座扩展中的三体力
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-09-20 DOI: 10.1007/s00601-024-01951-z
Cyrille Chevalier, Selma Youcef Khodja
{"title":"Three-Body Forces in Oscillator Bases Expansion","authors":"Cyrille Chevalier,&nbsp;Selma Youcef Khodja","doi":"10.1007/s00601-024-01951-z","DOIUrl":"10.1007/s00601-024-01951-z","url":null,"abstract":"<div><p>The oscillator bases expansion stands as an efficient approximation method for the time-independent Schrödinger equation. The method, originally formulated with one non-linear variational parameter, can be extended to incorporate two such parameters. It handles both non- and semi-relativistic kinematics with generic two-body interactions. In the current work, focusing on systems of three identical bodies, the method is generalised to include the management of a given class of three-body forces. The computational cost of this generalisation proves to not exceed the one for two-body interactions. The accuracy of the generalisation is assessed by comparing with results from Lagrange mesh method and hyperspherical harmonic expansions. Extensions for systems of <i>N</i> identical bodies and for systems of two identical particles and one distinct are also discussed.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412740","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
Accurate Simulation of Efimov Physics in Ultracold Atomic Gases with Realistic Three-Body Multichannel Interactions 用逼真的三体多通道相互作用精确模拟超冷原子气体中的埃菲莫夫物理学
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-09-16 DOI: 10.1007/s00601-024-01954-w
J. van de Kraats, S. J. J. M. F. Kokkelmans
{"title":"Accurate Simulation of Efimov Physics in Ultracold Atomic Gases with Realistic Three-Body Multichannel Interactions","authors":"J. van de Kraats,&nbsp;S. J. J. M. F. Kokkelmans","doi":"10.1007/s00601-024-01954-w","DOIUrl":"10.1007/s00601-024-01954-w","url":null,"abstract":"<div><p>We give a detailed and self-contained description of a recently developed theoretical and numerical method for the simulation of three identical bosonic alkali-metal atoms near a Feshbach resonance, where the Efimov effect is induced. The method is based on a direct construction of the off-shell two-body transition matrix from exact eigenfunctions of the embedded two-body Hamiltonians, obtained using realistic parameterizations of the interaction potentials which accurately reproduce the molecular energy levels. The transition matrix is then inserted into the appropriate three-body integral equations, which may be efficiently solved on a computer. We focus especially on the power of our method in including rigorously the effects of multichannel physics on the three-body problem, which are usually accounted for only by various approximations. We demonstrate the method for <sup>7</sup>Li, where we recently showed that a correct inclusion of this multichannel physics resolves the long-standing disagreement between theory and experiment regarding the Efimovian three-body parameter. We analyze the Efimovian enhancement of the three-body recombination rate on both sides of the Feshbach resonance, revealing strong sensitivity to the spin structure of the model thus indicating the prevalence of three-body spin-exchange physics. Finally, we discuss an extension of our methodology to the calculation of three-body bound-state energies.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01954-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260257","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 25th European Conference on Few-Body Problems in Physics (EFB25) 第 25 届欧洲物理学少体问题会议（EFB25）
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-09-16 DOI: 10.1007/s00601-024-01955-9
Sonia Bacca, Hans-Werner Hammer
{"title":"The 25th European Conference on Few-Body Problems in Physics (EFB25)","authors":"Sonia Bacca,&nbsp;Hans-Werner Hammer","doi":"10.1007/s00601-024-01955-9","DOIUrl":"10.1007/s00601-024-01955-9","url":null,"abstract":"","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01955-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260256","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
Stereodynamics Effects on van der Waals Molecule Formation Through Three-Body Recombination 立体动力学对通过三体重组形成范德华分子的影响
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-08-31 DOI: 10.1007/s00601-024-01953-x
Yu Wang, Jesús Pérez-Ríos
{"title":"Stereodynamics Effects on van der Waals Molecule Formation Through Three-Body Recombination","authors":"Yu Wang,&nbsp;Jesús Pérez-Ríos","doi":"10.1007/s00601-024-01953-x","DOIUrl":"10.1007/s00601-024-01953-x","url":null,"abstract":"<div><p>In this work, we present a study on the role of atomic configurations in forming van der Waals molecules through three-body recombination. Fixing the angle between the two momenta associated with the Jacobi vectors, we calculate the reaction probability for a specific configuration. In this way, we elucidate the nature of the total reaction probability in reactions X + He + He<span>(rightarrow )</span>XHe + He, essential for understanding van der Waals molecules formation in molecular beams and buffer gas cells.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 3","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142216256","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
Formation of the Positronium Antihydride Molecules ((bar{textrm{H}}textrm{Ps})) in Low Energy, 5-Body Collisions of Antihydrogen Ion (bar{textrm{H}}^+) with Positronium Atoms Ps 反氢离子 $$bar{textrm{H}}textrm{Ps}^+$ 与正电子原子 Ps 的低能量 5 体碰撞中正电子反氢化物分子 ( $$bar{textrm{H}}textrm{Ps}$ 的形成
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-08-19 DOI: 10.1007/s00601-024-01952-y
Piotr Froelich, Takuma Yamashita, Yasushi Kino, Svante Jonsell, Emiko Hiyama
{"title":"Formation of the Positronium Antihydride Molecules ((bar{textrm{H}}textrm{Ps})) in Low Energy, 5-Body Collisions of Antihydrogen Ion (bar{textrm{H}}^+) with Positronium Atoms Ps","authors":"Piotr Froelich,&nbsp;Takuma Yamashita,&nbsp;Yasushi Kino,&nbsp;Svante Jonsell,&nbsp;Emiko Hiyama","doi":"10.1007/s00601-024-01952-y","DOIUrl":"10.1007/s00601-024-01952-y","url":null,"abstract":"<div><p>In this paper we present the first pilot calculation of the elastic and inelastic cross sections for the 5-body scattering of antihydrogen ions with positronium atoms. These cross sections have not been calculated before and are not known experimentally. In particular, we focus on the collisional rearrangement reactions <span>(bar{{ mathrm H}}^+ + textrm{Ps} rightarrow {bar{textrm{H}}}textrm{Ps} +{mathrm{e^+}})</span> which deplete the <span>(bar{textrm{H}}^+)</span> ions and result in stable atomcules <span>(bar{textrm{H}}textrm{Ps})</span>. To better understand the mechanism of this rearrangement, we study the 3-dimensional, angle resolved positron densities of the 3- and 4-body fragments in the initial and final states of the rearrangement collision.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 3","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01952-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142216257","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
Exploring Pulsar Glitches with Dipolar Supersolids 用双极超固体探索脉冲星闪烁
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-08-16 DOI: 10.1007/s00601-024-01949-7
Thomas Bland, Francesca Ferlaino, Massimo Mannarelli, Elena Poli, Silvia Trabucco
{"title":"Exploring Pulsar Glitches with Dipolar Supersolids","authors":"Thomas Bland,&nbsp;Francesca Ferlaino,&nbsp;Massimo Mannarelli,&nbsp;Elena Poli,&nbsp;Silvia Trabucco","doi":"10.1007/s00601-024-01949-7","DOIUrl":"10.1007/s00601-024-01949-7","url":null,"abstract":"<div><p>Glitches are sudden spin-up events that interrupt the gradual spin-down of rotating neutron stars. They are believed to arise from the rapid unpinning of vortices in the neutron star inner crust. The analogy between the inner crust of neutron stars and dipolar supersolids allows to investigate glitches. Employing such analogy, we numerically analyze the vortex trapping mechanism and how the matter density distribution influences glitches. These results pave the way for the quantum simulation of celestial bodies in laboratories.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 3","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142227002","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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