Analysis of the eigenvalues for energy-dependent potentials, and NN scattering in the constituent quark bag model

Journal Article · Mon Jul 01 04:00:00 EDT 1985 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:6098807

Grach, I L; Kalashnikova, Y S; Narodetskii, I M; Shmatikov, M Z

On the example of the NN interaction in the constituent quark bag model we discuss the trajectories of the eigenvalues for energy-dependent potentials. We show that in this model the behavior of this eigenvalues is determined by the coefficient of the term in the potential which is linear in the energy. In turn, this coefficient is determined by the admixture of a nucleon component in the bag wave function. The results of the eigenvalue analysis are illustrated in simple examples of /sup 3/S/sub 1/ and /sup 1/S/sub 0/ potentials, which describe the scattering phases up to the energies T/sub L/< or =0.8 GeV.

• Research Organization: Institute of Theoretical and Experimental Physics, State Atomic Energy Commission
• OSTI ID: 6098807
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 42:1; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

645207* -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- Strong Interactions
Baryon No. Greater than 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYON-BARYON INTERACTIONS
COMPOSITE MODELS
EIGENVALUES
ENERGY DEPENDENCE
EXTENDED PARTICLE MODEL
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PHASE SHIFT
POTENTIALS
QUARK MODEL