夸克势模型中的重子–重子相互作用自旋–轨道耦合势

在夸克－夸克自旋－轨道耦合势中引入了由海夸克效应产生的、与颜色自由度无关的自旋－轨道耦合势．并定性地讨论了这个势对重子谱及重子－重子相互作用计算中的影响．     

重子谱中的自旋–轨道耦合力

在组份夸克势模型的框架下,用几种夸克势模型对重子谱中N和Λ的几组L?=1负宇称激发态自旋轨道劈裂进行了分析,指出有的模型在引进了一项半唯象的自旋轨道耦合势后能解释这几组态的自旋轨道耦合能级劈裂的实验值     

N—N相互作用中自旋轨道耦合力的夸克模型

在夸克－夸克相互作用中考虑了单胶子交换的自旋轨道耦合力、由禁闭势导出的自旋轨道耦合力、由手征场σ交换提供的自旋轨道耦合力以及由双胶子交换提供的自旋轨道耦合力，从而可以统一地解释重子谱中的自旋轨道耦合效应及Ｎ－Ｎ散射中的各个分波的相移．     

N—N相互作用中自旋轨道耦合力的夸克模型

在夸克-夸克相互作用中考虑了单胶子交换的自旋轨道耦合力、由禁闭势导出的自旋轨道耦合力、由手征场σ交换提供的自旋轨道耦合力以及由双胶子交换提供的自旋轨道耦合力,从而可以统一地解释重子谱中的自旋轨道耦合效应及N-N散射中的各个分波的相移.     

带有两个重夸克的重子谱计算中几个困难问题的研究

由两个重夸克和一个轻夸克组成的重子可以看作是一个两体系统.它的两个重夸克组成一个玻色型的双夸克团.利用B–S方程导出了它的轻夸克和重的双夸克之间的等效相互作用势.在利用这种势计算重子质量的过程中,发现有几个困难问题需要深入探讨.它们是:(1)算符排序,(2)由非相对论展开带来的误差,(3)自旋–自旋耦合,(4)在标量双夸克组成的重子态和矢量双夸克组成的重子态之间的混合.本文详细地讨论并适当地处理了这些问题.     

夸克随机组合机制与激发态重子的产生

从强子化过程的两个基本性质出发,在夸克随机组合框架上,得出了包括所有激发态在内的重子产生权重的一组基本关系．解释了“自旋抑制”和单态重子产额大的原因．最后,讨论了进一步确定激发态重子产生比例的条件和方法．     

两重子体系夸克效应的分析

通过对两重子集团间夸克交换项的分析指出,两重子系统的夸克效应是两集团靠得很近时,并在相对运动的低次波(S波)中才能充分表现出来.对给定的两重子态其夸克效应的性质由自旋、味道和色空间置换算符在该态的矩阵元决定.有些自旋–味道状态,Pauli堵塞效应很严重,必然存在着很强的排斥心;另一些自旋–味道状态,夸克交换效应有助于把两个重子“融合”到一起,从而形成双重子态.因此,两重子系统的结合能和散射相移的数据是检验它们之间夸克效应的重要场所.     

用改进的标量微分耦合模型计算核表面性质与自旋-轨道耦合势

使用相对论Ｔｈｏｍａｓ－Ｆｅｒｍｉ（ＲＴＦ）及相对论Ｈａｒｔｒｅｅ近似方法,在改进的标量微分耦合模型的基础上,计算了半无穷上核物质中张量耦合及ｍ。的变化对核表面性质与自旋－轨道耦合势的影响．结果表明张量耦合改善了标量微分耦合模型的自旋－轨道耦合势,但核表面张力系数及核表面厚度因张量耦合常数的增加而变小。     

两重子间夸克交换效应与两重子体系结合能的分析

通过对两重子集团间夸克交换项的分析指出，两重子系统的夸克效应是两集团靠得很近时，并在相对运动的低次波中才能充分表现出来. 对一给定的双重子态其夸克效应的性质由自旋、味道和色空间置换算符在该态的矩阵元决定. 双重子态的结合能和两重子散射相移的数据是检验两集团间夸克效应的重要场所.     

重子谱中的中程相互作用及其对N-N核力的影响

本文基于夸克势模型, 在QCD单胶子交换势和禁闭的谐振子位势之上, 引入唯象的夸克中程势, 去拟合N≤2的非奇异重子谱. 结果表明: 适当形式的夸克中程势能使2GeV以下的重子谱与实验较好符合, 用此有夸克中程势的夸克位势我们还探讨了N-N相互作用.     

Baryon-baryon spin-orbit and tensor interactions from quark-exchange kernels

Dibaryon quark-exchange kernels are constructed in explicit analytic form for the tensor and spin-orbit terms of the one-gluon-exchange quark-quark Breit interaction and for spin-orbit terms generated by quark-confinement mechanisms. The spin operators needed are defined through their spin-reduced matrix elements including those needed for interactions coupling NN, NΔ, and ΔΔ channels. Effective baryon-baryon spin-orbit potentials, generated through the Wigner transforms of the quark-exchange kernels with the use of a local momentum approximation, show that the NN spin-orbit interaction derived from the symmetric spin-orbit term of the one-gluon-exchange quark-quark interaction is in general agreement with the short-range part of phenomenological potentials derived from NN scattering. With the inclusion of the antisymmetric spin-orbit one-gluon-exchange terms and spin-orbit terms generated by confining potentials the full triplet-odd NN spin-orbit potential is greatly reduced in the 0.5–1 fm range. The uncertainties associated with spin-orbit terms generated by quark-confinement mechanisms are emphasized. The relative importance of various possible quark-gluon exchange terms is studied and shows that models which neglect some types of exchange terms are open to question. An SU(3)-flavor symmetric model for N-hyperon spin-orbit potentials leads to an NΛ spin-orbit potential only slightly weaker than the NN spin-orbit potential.     

Spin-Orbit Splitting in Semiconductor Quantum Dots with a Two-Dimensional Ring Model

We present a theoretical study of the energy levels with two-dimensional ring confining potential in the presence of the Rashba spin-orbit interaction. The features of some low-lying states in various strengths of the Rashba spin-orbit interaction are investigated. The Rashba spin-orbit splitting can a/so be influenced by the width of the potential barrier. The computed results show that the spin-polarized electronic states can be more easily achieved in a weakly confined dot when the confinement strength for the Rashba spin-orbit interaction is larger than a critical value.     

K+N spin-orbit interaction in the constituent quark model

We calculate p-wave phase shifts of the KN system in the framework of the non-relativistic constituent-quark model. We show that the symmetric spin-orbit potential from gluon exchange between quarks leads to KN spin-orbit potentials for the I = 0 and I = 1 states with the correct sign and magnitude. We also discuss the spin-orbit contributions from the naive confinement potential which give the wrong behaviour for the hadron-hadron spin-orbit potential.     

The role of spin-orbit potential in nuclear prolate-shape dominance

It is confirmed, in terms of the Woods-Saxon-Strutinsky method, that the spin-orbit potential plays a decisive role in the predominance of prolate deformation, which has been a long standing problem in nuclear physics. It is originated from the combined effects of the spin-orbit coupling and the diffused surface of the potential, in agreement with the previous work based on a more schematic Nilsson-Strutinsky method. The degree of prolate-shape dominance exhibits an oscillatory behavior with respect to the strength of spin-orbit potential and, the prolate-shape dominance is realized at the proper strength of the spin-orbit potential together with the standard surface diffuseness; this oscillatory behavior disappears in case of small diffuseness corresponding to ellipsoidal cavity. The calculated energy differences between oblate and prolate minima in this Letter are consistent with those of our extensive self-consistent calculations of the Hartree-Fock + BCS method with the Skyrme interaction.     

NN Spin-Orbit Force in Quark Model

A chiral quark-soliton model with the gluon field and chiral fields (σ, π and ω) is employed to study the NN spin-orbit potential within a relativistic twoquark-cluster theory. The effective NN spin-orbit potential generated by the one-gluon exchange decreases with the increase of energy. It is as important as one a-meson exchange and one w-meson exchange and is close to the spin-orbit splitting in nuclei.     

The nonrelativistic limit of the relativistic point coupling model

We relate the relativistic finite range mean-field model (RMF-FR) to the point-coupling variant and compare the nonlinear density dependence. From this, the effective Hamiltonian of the nonlinear point-coupling model in the nonrelativistic limit is derived. Different from the nonrelativistic models, the nonlinearity in the relativistic models automatically yields contributions in the form of a weak density dependence not only in the central potential but also in the spin-orbit potential. The central potential affects the bulk and surface properties while the spin-orbit potential is crucial for the shell structure of finite nuclei. A modification in the Skyrme-Hartree-Fock model with a density-dependent spin-orbit potential inspired by the point-coupling model is suggested.     

Baryon-baryon spin-orbit interaction in a quark model

The baryon-baryon spin-orbit interactions are studied within the framework of a nonrelativistic quark-cluster model. The origin of the spin-orbit interactions is taken to be the Galilei-invariant part of the spin-orbit term in the one-gluon-exchange potential between quarks. It gives, for example, the NN spin-orbit interaction which is qualitatively similar to the empirical ones. The baryon-nucleus spin-orbit interactions are also considered along this line. The N- and Σ-nucleus spin-orbit interactions are of comparable strength, while the Λ-nucleus spin-orbit interaction is weak. The main origin of the difference between the Λ -nucleus and Σ-nucleus spin-orbit interactions is the presence of the comparatively strong antisymmetric LS (ALS) terms for both NΛ and NΣ interactions but with opposite signs. Other sources of the spin-orbit interactions are briefly discussed in connection with the problem of the spin-orbit effect in the excited baryon spectra.     

Rashba自旋-轨道相互作用对一维谐振子势场中电子性质的影响

分析了Rashba自旋-轨道相互作用对一维谐振子势场中电子性质的影响,发现该自旋-轨道相互作用能够导致能级之间的自旋翻转,并且自旋翻转的性质明显依赖于自旋-轨道耦合系数和参考系坐标之间的关系.     

Instabilities of the Conventional Nucleus-Nucleus Interactions for (<Superscript>3</Superscript>H<Superscript>4</Superscript>He) Proton Pickup Cross-Sections

The angular distributions of the ²⁶Mg, ²⁸Si, ³⁰Si(³H, ⁴He) reactions have been analyzed using the exact finite-range DWBA calculations. The optical model potential is assumed to have the conventional spin-orbit potential. The obtained cross-sections with the spin-orbit potential are not significantly different from those calculated using the phenomenological Woods–Saxon form factors in the forward angle regions. The inclusion of the spin-orbit potential gives the best fit to the data and greatly improves the large angle cross-sections. Different reasonable spectroscopic factors are found to account well for the cross-section magnitudes.     

Spinor F=1 Bose–Einstein condensates loaded in two types of radially-periodic potentials with spin–orbit coupling

We consider two-dimensional spinor F = 1 Bose–Einstein condensates in two types of radially-periodic potentials with spin–orbit coupling, i.e., spin-independent and spin-dependent radially-periodic potentials. For the Bose–Einstein condensates in a spin-independent radially-periodic potential, the density of each component exhibits the periodic density modulation along the azimuthal direction, which realizes the necklacelike state in the ferromagnetic Bose–Einstein condensates. As the spin-exchange interaction increases, the necklacelike state gradually transition to the plane wave phase for the antiferromagnetic Bose–Einstein condensates with larger spin–orbit coupling. The competition of the spin-dependent radially-periodic potential, spin–orbit coupling, and spin-exchange interaction gives rise to the exotic ground-state phases when the Bose–Einstein condensates in a spin-dependent radially-periodic potential.