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首页> 外文期刊>Physics of atomic nuclei >Mass Spectrum of Vector Mesons and Their Leptonic-Decay Constants in the Bilocal Relativistic Potential Model
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Mass Spectrum of Vector Mesons and Their Leptonic-Decay Constants in the Bilocal Relativistic Potential Model

机译：双局部相对论势模型中矢量介子的质谱及其轻子衰变常数

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摘要

A phenomenological model is developed in terms of bilocal meson fields in order to describe a vector meson and its leptonic decays. A new Salpeter equation for this particle and the Schwinger-Dyson equation allowing for the presence of an arbitrary potential and for a modification associated with the renormalization of the quark (antiquark) wave function within the meson are given. An expression for the constant of the leptonic decay of the charged rho meson is obtained from an analysis of the decay process tau ->rho nu. via parametrizing in it the hadronization of intermediate charged weak W bosons into a bilocal vector meson. The potential is chosen in the form of the sum of harmonic-oscillator and Coulomb potentials, and the respective boundary-value problem is formulated. It is shown that the solutions to this problem describe both the mass spectrum of vector mesons and their leptonic-decay constants.
机译：为了描述矢量介子及其轻子衰变，根据双局部介子场建立了一种现象学模型。给出了用于该粒子的新Salpeter方程和Schwinger-Dyson方程，该方程允许存在任意电势以及与介子内的夸克（反夸克）波函数的重新归一化相关的修改。通过对衰变过程tau-> rho nu的分析可以获得带电荷的rho介子的轻子衰变常数的表达式。通过参数化将中等电荷的弱W玻色子的强子化为双局部矢量介子。以谐波振荡器和库仑电势之和的形式选择电势，并提出各自的边值问题。结果表明，该问题的解决方案既描述了矢量介子的质谱图，又描述了它们的轻子衰变常数。

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