LAGRANGE TRIANGLE OF QUARKS

摘要

An approximate model is proposed for a system of three Schrodinger particles of equal masses, interacting mutually through a universal two-body potential. They are assumed to form during their motion a (generally) varying equilateral triangle corresponding to Lagrange's exact triangle solution 'of the classical three-body problem. The resulting wave equation is formally a two-body Schrodinger equation (in the centre-of-mass frame). This is applied to three constituent quarks in the nucleon. The presented model, called "Lagrange triangle of Schrodinger particles", may be considered as a nonrelativistic approximation to the much more complicated "Lagrange triangle of Dirac particles" constructed by the author a decade ago.