NN scattering in the nonrelativistic quark model
Journal Article
·
· Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
OSTI ID:6562360
In the framework of the nonrelativistic theory for the six-body system an attempt is made to give a dynamical description of the scattering of two nucleons. The condition of quark confinement enables one to approximate the quark Hamiltonians in each nucleon by operators of finite rank. This approximation makes it possible to solve the problem in two steps. First, the auxiliary problem of scattering of three fixed (in the nucleon) quarks on three fixed (in the second nucleon) quarks is solved. Secondly, it is shown that the elastic NN-scattering amplitude satisfies a one-dimensional integral equation, whose kernel contains the t-matrix of the auxiliary problem. The latter equation is solved numerically and the energy dependence of the S-wave phase shift and of the total elastic cross section is obtained at low energies.
- Research Organization:
- Joint Institute for Nuclear Research
- OSTI ID:
- 6562360
- Journal Information:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 31:5; ISSN SJNCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645207* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. Greater than 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYON-BARYON INTERACTIONS
COMPOSITE MODELS
CROSS SECTIONS
ELASTIC SCATTERING
HADRON-HADRON INTERACTIONS
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PHASE SHIFT
QUARK MODEL
S WAVES
SCATTERING
SCATTERING AMPLITUDES
TOTAL CROSS SECTIONS
Baryon No. Greater than 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYON-BARYON INTERACTIONS
COMPOSITE MODELS
CROSS SECTIONS
ELASTIC SCATTERING
HADRON-HADRON INTERACTIONS
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PHASE SHIFT
QUARK MODEL
S WAVES
SCATTERING
SCATTERING AMPLITUDES
TOTAL CROSS SECTIONS