Non-relativistic formulation of the MIT Bag Model of hadron masses

Thesis/Dissertation · Mon Dec 31 23:00:00 EST 1984

OSTI ID:5678068

Walsh, Jr, J F

A version of the MIT Bag Model is developed in which the quark wavefunction is assumed to satisfy Schroedinger's equation and in which the classical formula for kinetic energy is employed. It is found that the non-relativistic model allows the division of the solar-magnetic force into spin-spin, spin-orbit and orbit-orbit components, though for 1 = 0 only the spin-spin component is relevant. By numerical analysis of the resulting equations, it is shown that a non-relativistic bag model is consistent with the observed hadron spectrum in the non-strange flavor sector. In order to achieve consistency with observed particle masses, however, the non-relativistic model requires that the strange quark mass be less than the non-strange quark mass. This results in the wrong ordering of particle masses for hadrons containing strange quarks and implies that a relativistic treatment is preferred within the framework of the bag model.

• Research Organization: Duke Univ., Durham, NC (USA)
• OSTI ID: 5678068
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
HADRONS
MASS SPECTRA
MATHEMATICAL MODELS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUARK MODEL
SCHROEDINGER EQUATION
SPECTRA
STRANGE PARTICLES
WAVE EQUATIONS