Application of a Variational Principle to the Solution of a System of Three Quarks.
Abstract
A rapidly convergent variational method was developed for the solution of the nonrelativistic quantum mechanical three body problem. This solution consists of a series developed by systematic optimization of each term by a nonlinear variational technique. The method is suitable for three body systems whose constituents interact via arbitrary central or noncentral potentials. The solutions compare favorably with more complicated linear variational solutions for harmonic oscillator, and exponential with hard core potentials. The method is applied to three quark systems containing u and d quarks in order to construct a simple unified potential model for baryons and mesons.
 Publication:

Ph.D. Thesis
 Pub Date:
 May 1978
 Bibcode:
 1978PhDT........36R
 Keywords:

 Physics: Nuclear;
 Quantum Mechanics;
 Quarks;
 Three Body Problem;
 Baryons;
 Harmonic Oscillation;
 Mesons;
 Nuclear Physics;
 Problem Solving;
 Variations;
 Nuclear and HighEnergy Physics