论文标题
约束动态和RQM绑定状态
Constraint Dynamics and RQM Bound States
论文作者
论文摘要
研究了含有不等质量夸克的调味介子。适当的工具是贝特盐蛋白的形式主义，但其固有的复杂性导致一系列困难，主要与相对时间或能量在其中所起的核心作用有关。我们以“约束相对论量子力学（RQM）”的精神考虑界定状态。夸克的相互作用是通过漏斗型电势与远处依赖的强耦合（$α_s（r）$的）描述的。相对论的结合状态问题是通过在Minkowskiy空间中使用对称性，能量摩托明保存定律来提出的。具有相对论的两体波方程，具有依赖粒子的位置，并用于描述调味的介子。开发了绑定状态的游离粒子假说：夸克和古夸克作为结合系统中的自由颗粒移动。给出了系统的方程式以〜站立波的形式的解。获得了两个精确的渐近征征表达式的插值复合物式公式。计算了一些领先的介体的质谱。
Flavored mesons containing quarks of unequal masses are studied. The appropriate tool is the Bethe-Salpeter formalism, but its inherent complexity leads to series of difficulties mostly related to the central role played in it by the relative time or energy. We consider bound states in the spirit of "Constraint Relativistic Quantum Mechanics (RQM)". Interaction of quarks is described by the funnel-type potential with the distant dependent strong coupling, $α_s(r)$. Relativistic bound-state problem is formulated with the use of symmetries, energy-momentum conservation laws in Minkowskiy space. Relativistic two-body wave equation with position dependent particle masses is derived and used to describe the flavored mesons. Free particle hypothesis for the bound state is developed: quark and antiquark move as free particles in of the bound system. Solution of the equation for the system in the form of a~standing wave is given. Interpolating complex-mass formula for two exact asymptotic eigenmass expressions is obtained. Mass spectra for some leading-state flavored mesons are calculated.
