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Beyond of the Hyperspherical Quantum Mechanic 超越超球量子力学
IF 1.6 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-07-08 DOI: 10.1007/s00601-024-01939-9
Michel Fabre de la Ripelle
{"title":"Beyond of the Hyperspherical Quantum Mechanic","authors":"Michel Fabre de la Ripelle","doi":"10.1007/s00601-024-01939-9","DOIUrl":"https://doi.org/10.1007/s00601-024-01939-9","url":null,"abstract":"<p>The aim of this work is to explain how, starting from the orthogonality expression of two polynomials, we deduce the Schrödinger equation and the solution of the N-body problem including two-body correlations as well as the existence of shells. Generated by the behaviour of kinetic energy for a two-body interaction. The quantification of matters is obtained by the application of the weight function algorithm to the statement that two states are independents when their product integrated over the whole space is null leading to a two variables second order differential equation. The Nuclear Shell Model is a consequence of the kinetic energy behaviour for increasing number of nucleons in ground state. It leaves the mean field theory useless.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141576952","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
Effect of Background Scattering on Efimov Scenario for Overlapping Narrow Feshbach Resonances 背景散射对重叠窄费什巴赫共振的埃菲莫夫方案的影响
IF 1.6 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-07-08 DOI: 10.1007/s00601-024-01943-z
Fatema Hamodi-Gzal, Lev Khaykovich
{"title":"Effect of Background Scattering on Efimov Scenario for Overlapping Narrow Feshbach Resonances","authors":"Fatema Hamodi-Gzal, Lev Khaykovich","doi":"10.1007/s00601-024-01943-z","DOIUrl":"https://doi.org/10.1007/s00601-024-01943-z","url":null,"abstract":"<p>Efimov physics in the vicinity of two overlapping narrow Feshbach resonances can be explored within a framework of a three-channel model where a non-interacting open channel is coupled to two closed molecular channels. Here, we determine how it compares to the extended two-channel model, which includes an open channel with finite background scattering and a single molecular channel. We identify the parameter range in which the three-channel model surpasses the extended two-channel model. Furthermore, the three-channel model is extended to include background scattering, and then both models are applied to the experimentally relevant system of bosonic lithium atoms polarized on two different energy levels, with an isolated and two overlapping narrow Feshbach resonances, respectively. We confirm, in agreement with previous studies, that being small, the background scattering length in lithium has a negligible effect on the Efimov features in the case of isolated resonance. However, in the case of overlapping Feshbach resonances, the inclusion of background scattering improves the performance of the theory with respect to the experimentally measured position of the Efimov resonance.\u0000</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141576953","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
Resonances in the Quark Model 夸克模型中的共振
IF 1.6 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-07-02 DOI: 10.1007/s00601-024-01941-1
Jean-Marc Richard, Alfredo Valcarce, Javier Vijande
{"title":"Resonances in the Quark Model","authors":"Jean-Marc Richard, Alfredo Valcarce, Javier Vijande","doi":"10.1007/s00601-024-01941-1","DOIUrl":"https://doi.org/10.1007/s00601-024-01941-1","url":null,"abstract":"<p>A discussion is presented of the estimates of the energy and width of resonances in constituent models, with focus on the tetraquark states containing heavy quarks.\u0000</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521361","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 Role of the Effective Range in Strongly-Interacting Few-Body Systems 强相互作用少体系统中有效范围的作用
IF 1.6 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-07-02 DOI: 10.1007/s00601-024-01942-0
Lucas Madeira
{"title":"The Role of the Effective Range in Strongly-Interacting Few-Body Systems","authors":"Lucas Madeira","doi":"10.1007/s00601-024-01942-0","DOIUrl":"https://doi.org/10.1007/s00601-024-01942-0","url":null,"abstract":"<p>Strongly interacting systems appear in several areas of physics and are characterized by attractive interactions that can almost, or just barely, loosely bind two particles. Although this definition is made at the two-body level, this gives rise to fascinating effects in larger systems, including the so-called Efimov physics. In this context, the zero-range theory aims to describe low-energy properties based only on the scattering length. However, for a broad range of physical applications, the finite range of the interactions plays an important role. In this work, I discuss some aspects of finite-range effects in strongly interacting systems. I present the zero-range and shapeless universalities in two-body systems with applications in atomic and nuclear physics. I derived an analytical expression for the <i>s</i>-wave bound-state spectrum of the modified Pöschl–Teller potential for two particles in three dimensions, which is compared with the approximations to illustrate their usefulness. Concerning three identical bosons, I presented a trimer energy scaling function that explicitly includes the effective range. The implications for larger systems are briefly discussed.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508596","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
Low-Energy Theorems for Neutron–Proton Scattering in $$chi $$ EFT Using a Perturbative Power Counting 使用惯性功率计数的 $$chi $$ EFT 中中子-质子散射低能定理
IF 1.6 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-06-25 DOI: 10.1007/s00601-024-01938-w
Oliver Thim
{"title":"Low-Energy Theorems for Neutron–Proton Scattering in $$chi $$ EFT Using a Perturbative Power Counting","authors":"Oliver Thim","doi":"10.1007/s00601-024-01938-w","DOIUrl":"https://doi.org/10.1007/s00601-024-01938-w","url":null,"abstract":"<p>Low-energy theorems (LETs) for effective-range parameters in nucleon-nucleon scattering encode properties of the long-range part of the nuclear force. We compute LETs for <i>S</i>-wave neutron–proton scattering using chiral effective field theory with a modified version of Weinberg power counting. Corrections to the leading order amplitude are included in distorted-wave perturbation theory and we incorporate contributions up to the third order in the power counting. We find that LETs in the <span>(^1S_0)</span> and <span>(^3S_1)</span> partial waves agree well with empirical effective-range parameters. At the same time, phase shifts up to laboratory scattering energies of about 100 MeV can be reproduced. We show that it is important to consider the pion mass splitting in the one-pion exchange potential in the <span>(^1S_0)</span> partial wave while the effect is negligible in the <span>(^3S_1)</span> partial wave. We conclude that pion exchanges, as treated in this power counting, accurately describe the long-range part of the <i>S</i>-wave nuclear interaction.\u0000</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141529708","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 Calculation Of Deuteron–Nucleus Scattering Using Microscopic Global Optical Potential 利用微观全局光学势能进行氘核散射的三体计算
IF 1.6 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-06-18 DOI: 10.1007/s00601-024-01937-x
A. Deltuva, D. Jurčiukonis, D. Likandrovas, J. Torres Fernandez
{"title":"Three-Body Calculation Of Deuteron–Nucleus Scattering Using Microscopic Global Optical Potential","authors":"A. Deltuva, D. Jurčiukonis, D. Likandrovas, J. Torres Fernandez","doi":"10.1007/s00601-024-01937-x","DOIUrl":"https://doi.org/10.1007/s00601-024-01937-x","url":null,"abstract":"<p>We test microscopic global optical potential in three-body calculations of deuteron–nucleus scattering. We solve Faddeev-type equations for three-body transition operators. We calculate differential cross section and analyzing power for the deuteron elastic scattering and breakup in collisions with <span>({}^{12})</span>C, <span>({}^{16})</span>O and <span>({}^{24})</span>Mg nuclei, and find a reasonable agreement with available experimental data. Comparison with respective predictions using phenomenological optical potentials reveals systematic deviations in particular kinematic regimes.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508597","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 the Nuclear Few-Body Systems 核微小体系统的代数方法
IF 1.6 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-06-07 DOI: 10.1007/s00601-024-01936-y
Augustinas Stepsys, S. Mickevicius, D. Germanas, R. Kalinauskas
{"title":"Algebraic Approach to the Nuclear Few-Body Systems","authors":"Augustinas Stepsys, S. Mickevicius, D. Germanas, R. Kalinauskas","doi":"10.1007/s00601-024-01936-y","DOIUrl":"https://doi.org/10.1007/s00601-024-01936-y","url":null,"abstract":"","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141374061","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
Resonant States in Few-Body Systems: An Introduction to the Special Issue 少体系统中的共振态：特刊简介
IF 1.6 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-06-06 DOI: 10.1007/s00601-024-01934-0
R. Lazauskas, Alejandro Kievsky
{"title":"Resonant States in Few-Body Systems: An Introduction to the Special Issue","authors":"R. Lazauskas, Alejandro Kievsky","doi":"10.1007/s00601-024-01934-0","DOIUrl":"https://doi.org/10.1007/s00601-024-01934-0","url":null,"abstract":"","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141379555","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
Uncertainty Estimation and Anomaly Detection in Chiral Effective Field Theory Studies of Key Nuclear Electroweak Processes 关键核电弱过程的手性有效场理论研究中的不确定性估计和异常检测
IF 1.6 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-06-04 DOI: 10.1007/s00601-024-01929-x
Bijaya Acharya
{"title":"Uncertainty Estimation and Anomaly Detection in Chiral Effective Field Theory Studies of Key Nuclear Electroweak Processes","authors":"Bijaya Acharya","doi":"10.1007/s00601-024-01929-x","DOIUrl":"https://doi.org/10.1007/s00601-024-01929-x","url":null,"abstract":"<p>Chiral effective field theory (<span>(chi )</span>EFT) is a powerful tool for studying electroweak processes in nuclei. I discuss <span>(chi )</span>EFT calculations of three key nuclear electroweak processes: primordial deuterium production, proton–proton fusion, and magnetic dipole excitations of <span>(^{48}textrm{Ca})</span>. This article showcases <span>(chi )</span>EFT’s ability to quantify theory uncertainties at the appropriate level of rigor for addressing the different precision demands of these three processes.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141254042","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
Doubly Excited States of Beryllium-Like Ions ( $$Z = 4$$ –10) in Dense Quantum Plasmas 致密量子等离子体中类铍离子（$$Z = 4$$ -10）的双激发态
IF 1.6 4区 物理与天体物理
Few-Body Systems Pub Date : 2024-06-03 DOI: 10.1007/s00601-024-01935-z
Nirvik Masanta, Arijit Ghoshal, Yew Kam Ho
{"title":"Doubly Excited States of Beryllium-Like Ions ( $$Z = 4$$ –10) in Dense Quantum Plasmas","authors":"Nirvik Masanta, Arijit Ghoshal, Yew Kam Ho","doi":"10.1007/s00601-024-01935-z","DOIUrl":"https://doi.org/10.1007/s00601-024-01935-z","url":null,"abstract":"<p>The doubly excited states (DES) of beryllium-like ions (BLI) embedded in dense quantum plasma (QP) have been investigated by applying the stabilization method. Ions having atomic number <i>Z</i> lying between 4 to 10 are considered and treated as an effective three-body system by means of the ‘method of model potential’. Exponential cosine screened Coulomb potential is used to describe the screened interactions among the charged particles in QP. Using an extensive wavefunction, it has been possible to detect the existence of one, four and five DESs lying above the <span>(1s^22p)</span> threshold in the ions having <span>(Z = 4)</span>, <span>(Z = 5)</span> and <span>(Z = 6)</span>–10 respectively. The energies and widths of these states for the plasma-free case agree nicely with the reliable results available in the literature. A detailed study has been made to explore the changes in the energies and widths of these states subject to the varying screening effect of the background quantum plasma environment. Furthermore, <i>Z</i>-dependence of the changes induced by the plasma has also been investigated in detail.</p>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141254251","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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