Accession Number : AD0665663

Title :   AN EQUATION FOR MESON STATES IN THE QUARK MODEL AND ITS APPLICATION TO A MESON BOOTSTRAP,

Corporate Author : ILLINOIS UNIV URBANA DEPT OF PHYSICS

Personal Author(s) : King,Lawrence Gray

Report Date : 20 FEB 1968

Pagination or Media Count : 50

Abstract : A differential equation for meson states is derived from the Bethe-Salpeter equation under the conditions of the quark model. The equation is shown to imply mass relations of the form K (superscript *2) - rho (superscript 2) = K (superscript 2) - pi (superscript 2). The equation is used to attempt modified bootstrap calculations of the vector and pseudoscalar meson parameters in the quark model. A bootstrap is found for the SU3 singlet states but shown not to be possible for either the octet states or the entire Q-bar Q system. The potential is the Fourier transform of the sum of one meson exchange Feynman graphs, with a hard core radius r sub o introduced as an adjustable parameter.

Descriptors :   (*MESONS, *NUCLEAR MODELS), NUCLEAR ENERGY LEVELS, EXCITATION, NUCLEAR SPINS, WAVE FUNCTIONS, INTEGRAL TRANSFORMS, DIFFERENTIAL EQUATIONS, OPERATORS(MATHEMATICS)

Subject Categories : Nuclear Physics & Elementary Particle Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE