Few-Body Systems最新文献_第3页

An Experimental Platform for Studying the Heteronuclear Efimov Effect with an Ultracold Mixture of (^textbf{6})Li and (^textbf{133})Cs Atoms 用（^textbf{6}）Li 和（^textbf{133}）Cs 原子的超冷混合物研究异核艾菲莫夫效应的实验平台

IF 1.7 4区物理与天体物理

Few-Body Systems Pub Date : 2024-11-29 DOI: 10.1007/s00601-024-01971-9

Eleonora Lippi, Manuel Gerken, Stephan Häfner, Marc Repp, Rico Pires, Michael Rautenberg, Tobias Krom, Eva D. Kuhnle, Binh Tran, Juris Ulmanis, Bing Zhu, Lauriane Chomaz, Matthias Weidemüller

{"title":"An Experimental Platform for Studying the Heteronuclear Efimov Effect with an Ultracold Mixture of (^textbf{6})Li and (^textbf{133})Cs Atoms","authors":"Eleonora Lippi, Manuel Gerken, Stephan Häfner, Marc Repp, Rico Pires, Michael Rautenberg, Tobias Krom, Eva D. Kuhnle, Binh Tran, Juris Ulmanis, Bing Zhu, Lauriane Chomaz, Matthias Weidemüller","doi":"10.1007/s00601-024-01971-9","DOIUrl":"10.1007/s00601-024-01971-9","url":null,"abstract":"<div>We present the experimental apparatus enabling the observation of the heteronuclear Efimov effect in an optically trapped ultracold mixture of (^6)Li-(^{133})Cs with high-resolution control of the interactions. A compact double-species Zeeman slower consisting of four interleaving helical coils allows for a fast-switching between two optimized configurations for either Li or Cs and provides an efficient sequential loading into their respective MOTs. By means of a bichromatic optical trapping scheme based on species-selective trapping we prepare mixtures down to 100 nK of ({1times 10^{4}}) Cs atoms and ({7times 10^{3}}) Li atoms. Highly stable magnetic fields allow high-resolution atom-loss spectroscopy and enable to resolve splitting in the loss feature of a few tens of milligauss. These features allowed for a detailed study of the Efimov effect.</div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-024-01971-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737153","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 Steepest Slope toward a Quantum Few-Body Solution: Gradient Variational Methods for the Quantum Few-Body Problem 量子少体解的最陡坡：量子少体问题的梯度变量方法

IF 1.7 4区物理与天体物理

Few-Body Systems Pub Date : 2024-11-19 DOI: 10.1007/s00601-024-01965-7

Paolo Recchia, Debabrota Basu, Mario Gattobigio, Christian Miniatura, Stéphane Bressan

{"title":"The Steepest Slope toward a Quantum Few-Body Solution: Gradient Variational Methods for the Quantum Few-Body Problem","authors":"Paolo Recchia, Debabrota Basu, Mario Gattobigio, Christian Miniatura, Stéphane Bressan","doi":"10.1007/s00601-024-01965-7","DOIUrl":"10.1007/s00601-024-01965-7","url":null,"abstract":"<div>Quantum few-body systems are deceptively simple. Indeed, with the notable exception of a few special cases, their associated Schrödinger equation cannot be solved analytically for more than two particles. One has to resort to approximation methods to tackle quantum few-body problems. In particular, variational methods have been proposed to ease numerical calculations and obtain precise solutions. One such method is the Stochastic Variational Method, which employs a stochastic search to determine the number and parameters of correlated Gaussian basis functions used to construct an ansatz of the wave function. Stochastic methods, however, face numerical and optimization challenges as the number of particles increases.We introduce a family of gradient variational methods that replace stochastic search with gradient optimization. We comparatively and empirically evaluate the performance of the baseline Stochastic Variational Method, several instances of the gradient variational method family, and some hybrid methods for selected few-body problems. We show that gradient and hybrid methods can be more efficient and effective than the Stochastic Variational Method. We discuss the role of singularities, oscillations, and gradient optimization strategies in the performance of the respective methods.</div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142672391","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

Rainbow Gravity Effects on Relativistic Quantum Oscillator Field in a Topological Defect Cosmological Space-Time 拓扑缺陷宇宙时空中相对论量子振荡器场的彩虹引力效应

IF 1.7 4区物理与天体物理

Few-Body Systems Pub Date : 2024-11-17 DOI: 10.1007/s00601-024-01966-6

Faizuddin Ahmed, Abdelmalek Bouzenada

{"title":"Rainbow Gravity Effects on Relativistic Quantum Oscillator Field in a Topological Defect Cosmological Space-Time","authors":"Faizuddin Ahmed, Abdelmalek Bouzenada","doi":"10.1007/s00601-024-01966-6","DOIUrl":"10.1007/s00601-024-01966-6","url":null,"abstract":"<div>In this paper, we investigate the quantum dynamics of scalar and oscillator fields in a topological defect space-time background under the influence of rainbow gravity’s. The rainbow gravity’s are introduced into the considered cosmological space-time geometry by replacing the temporal part (dt rightarrow frac{dt}{mathcal {F}(chi )}) and the spatial part (dx^i rightarrow frac{dx^i}{mathcal {H} (chi )}), where (mathcal {F}, mathcal {H}) are the rainbow functions and (0 le chi =|E|/E_p <1) is the dimensionless parameter. We derived the radial equation of the Klein–Gordon equation and its oscillator equation under rainbow gravity’s in topological space-time. To obtain eigenvalue of the quantum systems under investigations, we set the rainbow functions (mathcal {F}(chi )=1) and (mathcal {H}(chi )=sqrt{1-beta ,chi ^p}), where (p=1,2). We solve the radial equations through special functions using these rainbow functions and analyze the results. In fact, it is shown that the presence of cosmological constant, the topological defect parameter (alpha ), and the rainbow parameter (beta ) modified the energy spectrum of scalar and oscillator fields in comparison to the results obtained in flat space.\u0000</div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142664434","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

On a Repulsive Short-Range Potential Influence on the Harmonic Oscillator 论谐波振荡器的短程斥势影响

IF 1.7 4区物理与天体物理

Few-Body Systems Pub Date : 2024-11-15 DOI: 10.1007/s00601-024-01972-8

K. Bakke

引用次数: 0

Investigation of Mass and Decay Characteristics of the All-light Tetraquark 全轻四夸克的质量和衰变特性研究

IF 1.7 4区物理与天体物理

Few-Body Systems Pub Date : 2024-11-12 DOI: 10.1007/s00601-024-01968-4

Chetan Lodha, Ajay Kumar Rai

引用次数: 0

Analytical Solutions of the Schrödinger Equation for Two Confined Particles with the van der Waals Interaction 具有范德华相互作用的两个密闭粒子的薛定谔方程的解析解

IF 1.7 4区物理与天体物理

Few-Body Systems Pub Date : 2024-11-03 DOI: 10.1007/s00601-024-01970-w

Ruijie Du

{"title":"Analytical Solutions of the Schrödinger Equation for Two Confined Particles with the van der Waals Interaction","authors":"Ruijie Du","doi":"10.1007/s00601-024-01970-w","DOIUrl":"10.1007/s00601-024-01970-w","url":null,"abstract":"<div>We derive exact analytical solutions to the Schrödinger equation featuring a dual-scale potential, namely, a blend of a van der Waals (vdW) potential and an isotropic harmonic potential. The asymptotic behaviors of these solutions as (rrightarrow 0) and (rrightarrow infty ) are also elucidated. These results are obtained through the approach we recently developed [arXiv: 2207.09377]. Using our results, we further calculate the s-wave and p-wave energy spectrums of two particles confined in an isotropic harmonic trap, with vdW inter-particle interaction. We compare our exact results and the ones given by the zero-range pseudopotential (ZRP) approaches, with either energy-dependent or energy-independent s-wave scattering length (a_s) or p-wave scattering volume (V_p). It is shown that the results of ZRP approaches with energy-dependent (a_s) or (V_p) consist well with our exact ones, when the length scale (beta _6) of the vdW potential equals to or less than the length scale (a_h) of the confinement potential. Furthermore, when (beta _6gg a_h) (e.g., (beta _6=10a_h)) all the ZRP approaches fail. Our results are helpful for the research of confined ultracold atoms or molecules with strong vdW interactions.</div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142565830","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

Calculable Microscopic Theory for (^textbf{12})C((alpha ), (gamma ))(^textbf{16})O Cross Section near Gamow Window II 伽莫窗 II 附近的 (^textbf{12})C((α ), (γ ))(^textbf{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 : 2024-10-28 DOI: 10.1007/s00601-024-01964-8

Y. Suzuki

{"title":"Calculable Microscopic Theory for (^textbf{12})C((alpha ), (gamma ))(^textbf{16})O Cross Section near Gamow Window II","authors":"Y. Suzuki","doi":"10.1007/s00601-024-01964-8","DOIUrl":"10.1007/s00601-024-01964-8","url":null,"abstract":"<div>A microscopic approach to the (^{12})C((alpha , gamma )^{16})O radiative-capture reaction near the Gamow window has been proposed by Y. Suzuki, Few-Body Syst. 62, 2 (2021). The important ingredients of the approach include the following: (1) The states of (^{12})C and (^{16})O relevant to the reaction are described by fully microscopic 3 (alpha )-particle and 4 (alpha )-particle configurations. (2) The isovector electric dipole transition is accounted for through the isospin impurity of the constituent (alpha )-particles. (3) The relative motion among the (alpha )-particles is expanded in terms of correlated-Gaussian basis functions. A calculation of the radiative-capture cross section demands double angular-momentum projections, that is, the angular momentum of (^{12})C consisting of 3 (alpha )-particles and the orbital angular momentum for (^{12})C(-alpha ) relative motion. Advancing the previous formulation based on the single angular-momentum projection, I carry out the double projection and present all the formulas needed for the cross section calculation.</div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142518667","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 and Coherent States for the Modified Dirac Oscillator in Curved Spacetime with Spin and Pseudospin Symmetries 具有自旋和伪自旋对称性的弯曲时空中修正狄拉克振荡器的代数方法和相干状态

IF 1.7 4区物理与天体物理

Few-Body Systems Pub Date : 2024-10-27 DOI: 10.1007/s00601-024-01962-w

M. Salazar-Ramírez, D. Ojeda-Guillén, J. A. Martínez-Nuño, R. I. Ramírez-Espinoza

引用次数: 0

Integral Equation Approach for a Hydrogen Atom in a Strong Magnetic Field 强磁场中氢原子的积分方程法

IF 1.7 4区物理与天体物理

Few-Body Systems Pub Date : 2024-10-26 DOI: 10.1007/s00601-024-01969-3

B. P. Carter, Z. Papp

引用次数: 0

Exploring Statistical Properties of Fermion-Antifermion Pairs in Magnetized Spacetime Under Non-zero Cosmology 探索非零宇宙学条件下磁化时空中费米子-反费米子对的统计特性

IF 1.7 4区物理与天体物理

Few-Body Systems Pub Date : 2024-10-26 DOI: 10.1007/s00601-024-01967-5

Abdullah Guvendi, Abdelmalek Boumali

{"title":"Exploring Statistical Properties of Fermion-Antifermion Pairs in Magnetized Spacetime Under Non-zero Cosmology","authors":"Abdullah Guvendi, Abdelmalek Boumali","doi":"10.1007/s00601-024-01967-5","DOIUrl":"10.1007/s00601-024-01967-5","url":null,"abstract":"<div>This research investigates the complex statistical behavior of fermion-antifermion pairs within a (2+1)-dimensional magnetized Bonnor-Melvin background affected by non-zero cosmological conditions. The Bonnor-Melvin magnetic universe model, known for its cylindrical symmetry, preserves the invariance of quantum field dynamics under Lorentz boosts along the (z)-axis. This framework facilitates the examination of (2+1)-dimensional scenarios, where the corresponding spacetime background is identified as the Bonnor-Melvin magnetic 2+1+0-brane solution within the realm of gravity coupled with nonlinear electrodynamics. Initially, the precise energy spectra of these pairs are summarized using an analytical solution derived from the fully covariant two-body Dirac equation. Subsequently, the statistical properties inherent in these pair formations are investigated. These findings may illuminate the interplay among magnetic fields, spacetime geometry, and the cosmological constant, thereby enhancing our comprehension of the fundamental behaviors of fermions amidst intricate cosmological conditions. It is anticipated that this investigation could offer new insights into the statistical attributes of fermion-antifermion systems. All thermal characteristics, including free energy, total energy, entropy, and specific heat, have been computed. The impact of diverse factors, such as magnetic fields, spacetime geometry, and the cosmological constant, on these characteristics has been scrutinized.</div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 4","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142518908","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