P matrix in the constituent-quark bag model

Journal Article · Mon Oct 01 04:00:00 EDT 1984 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:5669210

Veselov, A I; Kalashnikova, Y S; Natodetskii, I M

We discuss the meaning of the P-matrix analysis in the constituent-quark bag model. We consider the most general version of the model, which corresponds to an arbitrary coupling between the hadronic and quark channels and to an arbitrary value for the smearing of the surface-interaction region. We investigate the dependence of the poles of the P matrix as a function of the radius r/sub 0/ at which the boundary conditions are determined, for r/sub 0/Xb, where b is the radius of the equivalent hadronic bag. We show that in addition to the pole which corresponds to the primitive, the P matrix has in general also potential poles which correspond to the volume interaction inside the bag. We give criteria for distinguishing the two types of poles. We note that the compensation effect of Jaffe and Low is absent in our model. We illustrate our results qualitatively in the examples of a P-matrix analysis of the ..pi..N system with I = J = 3/2 and of NN scattering with J/sup P/ = 0/sup +/ and 1/sup +/. We give the parameters of the singlet and triplet NN potentials, obtained from the P-matrix description of the experimental data.

• Research Organization: Institute of Theoretical and Experimental Physics, State Atomic Energy Commission
• OSTI ID: 5669210
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 40:4; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYON-BARYON INTERACTIONS
BASIC INTERACTIONS
COMPOSITE MODELS
COUPLING
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MATHEMATICAL MODELS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PION-NUCLEON INTERACTIONS
POSTULATED PARTICLES
QUARK MODEL
QUARKS
STRONG INTERACTIONS