ON THE SPINOR-STRUCTURE OF THE PROTON WAVE-FUNCTION

Authors
Citation
C. Carimalo, ON THE SPINOR-STRUCTURE OF THE PROTON WAVE-FUNCTION, Journal of mathematical physics, 34(11), 1993, pp. 4930-4963
Citations number
35
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
34
Issue
11
Year of publication
1993
Pages
4930 - 4963
Database
ISI
SICI code
0022-2488(1993)34:11<4930:OTSOTP>2.0.ZU;2-C
Abstract
In the framework of a relativistic extension of the three-constituent- quark model of the proton, spinors of third rank in Dirac indices are used to express covariantly the spin structure of S-state baryons of s pin 1/2 or 3/2. These spinors are defined directly in terms of 4-spino rs of the Dirac space D, and classified according to the irreducible r epresentations of both the (internal) Lorentz spin group acting on E = D x D x D, and the permutation group S3. All possible combinations of spin, flavor, and momentum distributions of quarks in S-state baryons are considered from the point of view of S3. We also suggest the poss ibility of defining Dirac matrices acting on E, which may prove import ant in view of studying three-quark confinement forces through an effe ctive relativistic wave equation for the proton.