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

Conference · Wed Apr 01 00:00:00 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-
• Journal Information: Hadronic J.; (United States), Vol. 4:3; Conference: 3. workshop on Lie-admissible formulations, Boston, MA, USA, 4 Aug 1980
• Country of Publication: United States
• Language: English

Related Subjects

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