Charge dependence of the nucleon-nucleon interaction in a quark model

Thesis/Dissertation · Thu Jan 01 00:00:00 EST 1987

OSTI ID:5118969

Encinosa, Jr, M R

The charge dependence (isospin symmetry breaking) of the nucleon-nucleon interaction is examined with a nonrelativistic quark model. The model is extended to include charge dependent effects arising from the up-down quark mass difference, the neutral-charged pion mass difference, and from the neutron-proton mass difference. The one-photon exchange potential is also included to the order of the inverse nucleon mass squared. The deuteron is treated in order to acquire some idea of the values that the model parameters may assume. No signature of charge dependence is seen in this system. The A = 3 systems are also considered. Here it is found that the kinetic energy difference of the up and down quarks due to their differing masses gives rise to a potential that depends on the isospin projection of the two nucleons. An estimate is made for the binding energy difference between the mirror A = 3 nuclei due to this potential; on the order of sixty percent of the Nolen-Schiffer anomaly can be accounted for with this effect. Distorted wave Born approximation (DWBA) calculations are performed to determine the neutron-proton analyzing power differences that arise from class IV isospin dependent interactions. Results are given as a function of center of mass scattering angle at several energies. The results show that certain angles and energies exist at which some contributions to the analyzing power difference vanish, leaving one dominant contribution remaining. Hence it may prove possible to isolate this contribution and gain some insight into the nucleon-nucleon interaction from a particular class IV effect.

• Research Organization: Florida State Univ., Tallahassee, FL (USA)
• OSTI ID: 5118969
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
NUCLEON-NUCLEON INTERACTIONS
CHARGE DISTRIBUTION
CALCULATION METHODS
DEUTERONS
MATHEMATICAL MODELS
PIONS
QUARK MODEL
BARYON-BARYON INTERACTIONS
BOSONS
CHARGED PARTICLES
COMPOSITE MODELS
ELEMENTARY PARTICLES
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PSEUDOSCALAR MESONS
657000* - Theoretical & Mathematical Physics
653002 - Nuclear Theory- Nuclear Matter
645200 - High Energy Physics- Particle Interactions & Properties-Theoretical