
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 BetheSalpeter 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 Qbar 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