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On the SUSY Structure of Spherically Symmetric Pauli Hamiltonians 球对称泡利哈密顿量的SUSY结构
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-05-18 DOI: 10.1007/s00601-025-01994-w
Georg Junker
{"title":"On the SUSY Structure of Spherically Symmetric Pauli Hamiltonians","authors":"Georg Junker","doi":"10.1007/s00601-025-01994-w","DOIUrl":"10.1007/s00601-025-01994-w","url":null,"abstract":"<div><p>It is shown that the quantum Hamiltonian characterising a non-relativistic electron under the influence of an external spherical symmetric electromagnetic potential exhibits a supersymmetric structure. Both cases, spherical symmetric scalar potentials and spherical symmetric vector potentials are discussed in detail. The current approach, which includes the spin-<span>(frac{1}{2})</span> degree of freedom, provides new insights to known models like the radial harmonic oscillator and the Coulomb problem. We also find a few new exactly solvable models, one of them exhibiting a new mixed type of shape invariance containing translation and scaling of potential parameters. The fundamental role as Witten parity played by the spin-orbit operator is high-lighted.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-025-01994-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073816","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
Contributions of ({varvec{psi }}_{textbf{2}})(3823) and (varvec{psi })(4040) Charmonium in (varvec{B}^{mathbf{+}}varvec{rightarrow } varvec{J}/varvec{psi eta K}^{mathbf{+}}) Decay ({varvec{psi }}_{textbf{2}})（3823）和(varvec{psi }) (4040) Charmonium在(varvec{B}^{mathbf{+}}varvec{rightarrow } varvec{J}/varvec{psi eta K}^{mathbf{+}})衰变中的贡献
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-05-18 DOI: 10.1007/s00601-025-01992-y
Elnaz Amirkhanlou, Behnam Mohammadi
{"title":"Contributions of ({varvec{psi }}_{textbf{2}})(3823) and (varvec{psi })(4040) Charmonium in (varvec{B}^{mathbf{+}}varvec{rightarrow } varvec{J}/varvec{psi eta K}^{mathbf{+}}) Decay","authors":"Elnaz Amirkhanlou,&nbsp;Behnam Mohammadi","doi":"10.1007/s00601-025-01992-y","DOIUrl":"10.1007/s00601-025-01992-y","url":null,"abstract":"<div><p>A recent study from the LHCb detector analyzed the <span>(J/psi eta )</span> mass spectrum from <span>(B^+rightarrow J/psi eta K^+)</span> decays, reporting the branching fraction ratios as <span>(F_{X}equiv frac{mathcal {B}r(B^+rightarrow psi ' K^+)times mathcal {B}r(psi 'rightarrow J/psi eta )}{mathcal {B}r(B^+rightarrow psi (2S) K^+)times mathcal {B}r(psi (2S)rightarrow J/psi eta )})</span> for <span>(psi '=psi _2(3823),psi (4040))</span>, which are <span>((5.95^{+3.38}_{-2.55})times 10^{-2})</span> and <span>((40.60pm 11.20)times 10^{-2})</span>, respectively. Also, the products related to <span>(B_{X}equiv mathcal {B}r(B^+rightarrow psi 'K^+)times mathcal {B}r(psi 'rightarrow J/psi eta ))</span> branching fractions are <span>(B_{psi _2(3823)}=(1.25^{+0.71}_{-0.53}pm 0.04)times 10^{-6})</span> and <span>(B_{psi (4040)}=(8.53pm 2.35pm 0.30)times 10^{-6})</span>. This represents the first calculation of this branching fraction using factorization. Our calculations indicate that <span>(F_X)</span> is <span>(F_{psi _{2}(3823)}=(6.55pm 1.88)times 10^{-2})</span> and <span>(F_{psi (4040)}=(14.33pm 4.15)times 10^{-2})</span> at <span>(mu =m_b/2)</span>. We have estimated <span>(B_{psi _{2}(3823)}=(0.26pm 0.05)times 10^{-6})</span> at <span>(mu =m_b/2)</span> and <span>(B_{psi (4040)}=(2.88pm 0.64)times 10^{-6})</span> at <span>(mu =2m_b)</span>.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144084862","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: Influence of Position-Dependent Effective Mass on One-Dimensional Bose-Einstein Condensates Using the Von Roos Approach 用Von Roos方法修正：位置相关有效质量对一维玻色-爱因斯坦凝聚的影响
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-03-08 DOI: 10.1007/s00601-025-01990-0
Somia Miraoui, Abdelhakim Benkrane, Ahmed Hocine
{"title":"Correction to: Influence of Position-Dependent Effective Mass on One-Dimensional Bose-Einstein Condensates Using the Von Roos Approach","authors":"Somia Miraoui,&nbsp;Abdelhakim Benkrane,&nbsp;Ahmed Hocine","doi":"10.1007/s00601-025-01990-0","DOIUrl":"10.1007/s00601-025-01990-0","url":null,"abstract":"","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581217","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
Critical Stability of Few-Body Quantum Systems 少体量子系统的临界稳定性
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-02-20 DOI: 10.1007/s00601-025-01989-7
T. Frederico, H. O. U. Fynbo, A. Kievsky, J. M. Richard
{"title":"Critical Stability of Few-Body Quantum Systems","authors":"T. Frederico,&nbsp;H. O. U. Fynbo,&nbsp;A. Kievsky,&nbsp;J. M. Richard","doi":"10.1007/s00601-025-01989-7","DOIUrl":"10.1007/s00601-025-01989-7","url":null,"abstract":"","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143455683","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
Characterizing Motion States in the Restricted Five-Body Problem with Perturbing Forces 具有摄动力的受限五体问题运动状态的表征
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-02-14 DOI: 10.1007/s00601-025-01988-8
Sanjeev Kumar, A. K. Awasthi
{"title":"Characterizing Motion States in the Restricted Five-Body Problem with Perturbing Forces","authors":"Sanjeev Kumar,&nbsp;A. K. Awasthi","doi":"10.1007/s00601-025-01988-8","DOIUrl":"10.1007/s00601-025-01988-8","url":null,"abstract":"<div><p>The <i>n</i>-body problem, a cornerstone of celestial mechanics, has been the subject of extensive research for centuries, with particular emphasis on the complexities of the three-body problem under various perturbations. These perturbations include oblateness, triaxiality, radiation pressure, and the effects of Coriolis and centrifugal forces. Recent advancements have shifted focus to systems involving more than three bodies, with notable work in the four-body problem. In this study, we extend the analysis to the five-body problem, examining its chaotic behavior and identifying regions of libration points. By varying the masses of the bodies across distinct surface points, we analyze the system’s dynamics, uncovering fractal zones within the problem. Additionally, we perform a stability analysis of the libration points, offering new insights into the behavior and stability of the five-body system. This research contributes to a deeper understanding of multi-body interactions and their implications in both theoretical and applied contexts.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143404132","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
Impacts of Compression on the Ground and Low-Lying Excited Doublet States of Plasma-Embedded Lithium Atom 压缩对等离子体嵌入锂原子地面和低洼激发双重态的影响
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-02-06 DOI: 10.1007/s00601-025-01981-1
Salah Doma, Gamal Roston, Mostafa Ahmed
{"title":"Impacts of Compression on the Ground and Low-Lying Excited Doublet States of Plasma-Embedded Lithium Atom","authors":"Salah Doma,&nbsp;Gamal Roston,&nbsp;Mostafa Ahmed","doi":"10.1007/s00601-025-01981-1","DOIUrl":"10.1007/s00601-025-01981-1","url":null,"abstract":"<div><p>The variational Monte Carlo method is employed to conduct a comprehensive investigation of the compressed ground and excited states of plasma-embedded lithium atom within impenetrable spherical boxes of varying radii. The study focuses on the low-lying excited doublet states 1<span>(s^{{2}})</span><i>ns</i>, 1<span>(s^{{2}}n)</span>p, and 1<span>(s^{{2}}n)</span>d, utilizing plasma potentials such as the screened Coulomb (SCP), exponential cosine screened Coulomb (ECSCP), and Hulthén potentials. Energy eigenvalues are determined using appropriate trial wave functions, which account for electron–electron repulsion and spin parts to adhere to the Pauli Exclusion Principle. Moreover, two factors related to the wave function of the compressed system and ECSCP model are considered. The results reveal an intriguing relative ordering for the lithium atom using the three plasma models, with many of the findings being significant contributions yet to be explored.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-025-01981-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361925","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 Effects of Non-linearity on the Solutions of Manning-Rosen and Hulthén Three-Dimensional Potentials Using Quantum Supersymmetry and N–U Methods: Application to CO(^mathbf{+}), BO and CN Diatomic Molecules 非线性对量子超对称和N-U方法解Manning-Rosen和hulth<s:1>三维势的影响＆在CO (^mathbf{+})、BO和CN双原子分子上的应用
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-02-05 DOI: 10.1007/s00601-025-01984-y
Abdeslam Haddouche, Rabia Yekken
{"title":"The Effects of Non-linearity on the Solutions of Manning-Rosen and Hulthén Three-Dimensional Potentials Using Quantum Supersymmetry and N–U Methods: Application to CO(^mathbf{+}), BO and CN Diatomic Molecules","authors":"Abdeslam Haddouche,&nbsp;Rabia Yekken","doi":"10.1007/s00601-025-01984-y","DOIUrl":"10.1007/s00601-025-01984-y","url":null,"abstract":"<div><p>The three-dimensional Schrödinger equation, where a non-linearity is caused by the introduction of an energy-dependent potential, is solved in the case of Energy-Dependent Manning-Rosen Potential (EDMRP) by means of extended quantum supersymmetry (EQS) combined with shape invariance, and Nikiforov–Uvarov (N–U) methods, using in both cases the Pekeris approximation for the centrifugal term. On the one hand, after determining the potential parameters according to experimental data, EQS and N–U results are compared to the numerical ones to show the effectiveness of our calculations. On the other hand, the effects of the non-linearity introduced via energy-dependent potentials in the Schrödinger equation are shown through a comparison made between energy-dependent and position-only-dependent cases of the Manning-Rosen potential. We considered some diatomic molecules CO<span>(^{+})</span>, BO, and CN with the experimental values of their potential parameters. Our results allowed us to consider, as a particular case, the three-dimensional energy-dependent Hulthén potential.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143184644","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
Masses and Magnetic Moments of Singly Heavy Pentaquarks using the Gursey-Radicati Mass Formula, Effective Mass, and Screened Charge Scheme 用Gursey-Radicati质量公式、有效质量和屏蔽电荷方案研究单重五夸克的质量和磁矩
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-02-04 DOI: 10.1007/s00601-025-01986-w
Ankush Sharma, Alka Upadhyay
{"title":"Masses and Magnetic Moments of Singly Heavy Pentaquarks using the Gursey-Radicati Mass Formula, Effective Mass, and Screened Charge Scheme","authors":"Ankush Sharma,&nbsp;Alka Upadhyay","doi":"10.1007/s00601-025-01986-w","DOIUrl":"10.1007/s00601-025-01986-w","url":null,"abstract":"<div><p>Motivated by the recent discovery of single heavy tetraquark structures, <span>(T_{cbar{s}0}^a (2900)^{++})</span> and <span>(T_{cbar{s}0}^a(2900)^0)</span> by the LHCb collaboration, masses and magnetic moments of singly heavy pentaquark states are estimated in this work. To classify the singly heavy pentaquark structures, we employ the special unitary representation. By using the SU(3) flavor representation, singly heavy pentaquark states are classified into the allowed flavor multiplets. Also, by using the extension of the Gursey-Radicati mass formula and the effective mass scheme, masses of singly heavy pentaquark states are estimated. Further, magnetic moments of singly heavy pentaquarks have been calculated using the effective mass and the screened charge schemes. A thorough comparison of our results shows reasonable agreement with the available theoretical data and may be helpful for future experimental studies.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143107885","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
Polarizability of the Kaonic Helium Atom Kaonic氦原子的极化率
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-01-31 DOI: 10.1007/s00601-025-01987-9
D. T. Aznabayev, A. K. Bekbaev, Vladimir I. Korobov
{"title":"Polarizability of the Kaonic Helium Atom","authors":"D. T. Aznabayev,&nbsp;A. K. Bekbaev,&nbsp;Vladimir I. Korobov","doi":"10.1007/s00601-025-01987-9","DOIUrl":"10.1007/s00601-025-01987-9","url":null,"abstract":"<div><p>The static dipole polarizability of metastable states in the kaonic helium atoms is studied. We use the complex coordinate rotation method to properly account for the resonant nature of the states. Our calculations show that some of the states are not stable with respect to collisional quenching in a dense helium target and should not be detected in the experiment.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110117","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
Influence of Position-Dependent Effective Mass on One-Dimensional Bose-Einstein Condensates Using the Von Roos Approach 用Von Roos方法研究位置相关有效质量对一维玻色-爱因斯坦凝聚的影响
IF 1.7 4区 物理与天体物理
Few-Body Systems Pub Date : 2025-01-29 DOI: 10.1007/s00601-025-01985-x
Somia Miraoui, Abdelhakim Benkrane, Ahmed Hocine
{"title":"Influence of Position-Dependent Effective Mass on One-Dimensional Bose-Einstein Condensates Using the Von Roos Approach","authors":"Somia Miraoui,&nbsp;Abdelhakim Benkrane,&nbsp;Ahmed Hocine","doi":"10.1007/s00601-025-01985-x","DOIUrl":"10.1007/s00601-025-01985-x","url":null,"abstract":"<div><p>In this paper, we study quantum droplets in one dimension under the influence of spacetime curvature by redefining the momentum operator, resulting in a maximum length and a minimum momentum, consistent with anti-de Sitter space (AdS). By examining this effect through the <span>(alpha )</span> parameter on the exact solution of free quantum droplets, we found that the relationship between the number of atoms and the chemical potential differs from the ordinary case. Additionally, we discovered that the flat-top shape can disappear and transform into a Gaussian shape in the presence of the maximum length (minimum momentum). Moreover, we found that the interaction of quantum droplets with spacetime curvature causes them to have a larger size. We also studied this effect on the variational solution via Gaussian ansatz for small droplets, we concluded that <span>(alpha )</span> decreases the stability and self-localisation of the quantum droplets.\u0000</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110142","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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