Covariant Three-Dimensional Equation for the Wave Function of pi Meson in the Composite Model of Spinor Quarks

摘要

A covariant three dimensional equation is derived for a wave function of a pseudoscalar particle, compoused of two equal mass quarks (quark and antiquark) with spins 1/2. This equation describes a relative motion of two quarks in pi meson. An asymptotics of the solution of this equation is found in the momentum representation in the case of quarks interaction chosen in a form of a one gluon exchange amplitude. (Atomindex citation 14:726506)