SU(3)-subsector approach to hadron properties and the classification problem

Conference · Wed Apr 01 04:00:00 EST 1981 · Hadronic J.; (United States)

OSTI ID:6697766

Mignani, R

I review the essential features and main applications of the SU(3)-subsector approach to hadron properties, developed in the last two years by Dattoli, Prosperi, Camiz, and myself. Such a formalism is based on the three-quark sectors of SU(N), which are obtained by picking out three of the N quarks in all possible ways. The sectors can be divided in four classes, according to the charges of the quarks constituting them, and an SU(3) algebra can be defined for any class of sectors, by introducing generalized operators (like hypercharge and isospin) induced by the SU(N) generators. General formulae are derived for baryon magnetic moments, both in the case of an exact symmetry and of a partially broken one. Mass sum rules for hadrons are discussed by means of a generalized Gell-Mann-Okubo mass formula. Lastly, it is stressed that the effectiveness of the formalism is better understood if one looks on SU(N) as a classification group for hadrons, rather than concerning hadron structure. In this connection, a till open legacy of Heisenberg about quark hypothesis is singled out.

• Research Organization: Universita Degli Studi Di Roma, Italy
• OSTI ID: 6697766
• Report Number(s): CONF-8008162-
• Conference Information: Journal Name: Hadronic J.; (United States) Journal Volume: 4:3
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSIFICATION
ELEMENTARY PARTICLES
EQUATIONS
HADRONS
LIE GROUPS
MAGNETIC MOMENTS
MASS
MASS FORMULAE
OKUBO MASS FORMULA
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUARKS
SU GROUPS
SU-3 GROUPS
SUM RULES
SYMMETRY GROUPS