Quark approach to Santilli's conjecture on hadronic structure
Recently, Santilli conjectured that, because the so-called theorems of inconsistent quantization into Heisenberg's equations are activated when quarks are treated as physical point-particles, hadron phenomenology may demand different yet compatible models, namely: the established SU(3) classification of hadrons into multiplets and a different Bohr-type model of structure for each individual member of a multiplet, in which the quark hypothesis for hadronic constituents is to be abandoned ad replaced by a more general (Lie-admissible) notion of particle to express the state of mutual penetration of the wave packet of each constituent with those of the others. A quark approach to a Bohr model of hadronic bound states, in which such a state of mutual penetration of the strong charge volumes of the constituent quarks, occurs, is presented, the quarks being bound in a Yukawa-type central field approximated by its long-range part, -g/sup 2//r, plus a meson mass term, in the limit g/sup 2/ = 1. A physical interpretation of the resulting hydrogenic-atom spectrum, based on an analogy with nuclear and atomic spectra is proposed and leads to a prediction of the mass ratio m/sub s//m/sub u/ of the strange to the light quarks in good agreement with the mass ratios of the members of the low-lying SU(3) multiplets.
- Research Organization:
- Univ. of Nigeria, Nsukka
- OSTI ID:
- 6166718
- Report Number(s):
- CONF-820136-
- Journal Information:
- Hadronic J.; (United States), Vol. 5:5; Conference: 1. international conference on non-potential interactions and their Lie-admissible treatment, Orleans, France, 5 Jan 1982
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
HADRONS
PARTICLE STRUCTURE
BOHR THEORY
BOUND STATE
LIE GROUPS
MASS SPECTRA
PARTICLE MODELS
QUARK MODEL
QUARKS
SU-3 GROUPS
COMPOSITE MODELS
ELEMENTARY PARTICLES
MATHEMATICAL MODELS
POSTULATED PARTICLES
SPECTRA
SU GROUPS
SYMMETRY GROUPS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties