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

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. / For the nucleon-nucleon scattering systems, scattering lengths and effective ranges are calculated. The charge dependent pionic interaction is found responsible for the bulk of the discrepancy between the scattering length of the neutron-proton system relative to those of the (Coulomb corrected) proton-proton or neutron-neutron systems. The potential that arises from the quark kinetic energy difference gives a contribution to the proton-proton and neutron-neutron scattering length difference that is of the correct sign and magnitude in comparison to the data. / 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. / Source: Dissertation Abstracts International, Volume: 49-03, Section: B, page: 0803. / Major Professor: Donald Robson. / Thesis (Ph.D.)--The Florida State University, 1987.

Identiferoai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_76254
ContributorsEncinosa, Mario Rene, Jr., Florida State University
Source SetsFlorida State University
LanguageEnglish
Detected LanguageEnglish
TypeText
Format186 p.
RightsOn campus use only.
RelationDissertation Abstracts International

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