标题： 角动量相关的QCD特性与动态O(4)对称性的夸克势 显示英文标题

标题： Angular Momentum Dependent Quark Potential of QCD Traits and Dynamical O(4) Symmetry

摘要： 一种能够体现QCD夸克-胶子动力学本质特征的常见夸克势能预期满足以下条件：(i) 在库仑型势能（与单胶子交换相关）和无限壁势能（与被束缚但渐近自由的夸克相关）之间进行插值，(ii) 在中间区域再现线性禁闭势能（与多胶子自相互作用相关），这是通过强子性质的格点QCD计算所确立的。我们首先表明，精确可解的三角函数罗森-莫尔斯势能具有所有这些特性。接着我们观察到，一旦将此势能解释为与角动量有关，它就会获得动力学O(4)对称性，并根据SU(2)_I* O(4)分类方案，准确再现非奇异重子谱的量子数和能级分裂，该分类方案认为重子依附于类型的多自旋宇称簇(K/2,K/2)*[(1/2,0) + (0, 1/2)]，其相对论图像为\psi _{\mu _{1}...\mu _{K}}。最后，我们得到了上述势能中各能级的精确能量和波函数，从而使其在代数基础上与如谐振子势能和库仑势能等广泛应用的常见势能处于同等地位。 显示英文摘要

摘要： A common quark potential that captures the essential traits of the QCD quark-gluon dynamics is expected to (i) interpolate between a Coulomb-like potential (associated with one-gluon exchange) and the infinite wall potential (associated with trapped but asymptotically free quarks), (ii) reproduce in the intermediary region the linear confinement potential (associated with multi-gluon self-interactions) as established by lattice QCD calculations of hadron properties. We first show that the exactly soluble trigonometric Rosen-Morse potential possesses all these properties. Next we observe that this potential, once interpreted as angular momentum dependent, acquires a dynamical O(4) symmetry and reproduces exactly quantum numbers and level splittings of the non-strange baryon spectra in the SU(2)_I* O(4) classification scheme according to which baryons cling on to multi-spin parity clusters of the type (K/2,K/2)*[(1/2,0) + (0, 1/2)], whose relativistic image is \psi_{\mu_{1}...\mu_{K}}. Finally, we bring exact energies and wave functions of the levels within the above potential and thus put it on equal algebraic footing with such common potentials of wide spread as are the harmonic-oscillator- and the Coulomb potentials.