Nuclear matter with realistic hamiltonians
In this thesis we first review some of the theoretical methods designed to handle the nuclear matter many-body problem. The emphasis is put on the variational theory developed by Pandharipande and Wiringa. This method treats the so called v/sub 6/ model, in which the two-nucleon interaction is assumed to have only central, spin, isospin and tensor components, and there are no many nucleon interactions. A realistic v/sub 14/ model of the two-nucleon interaction is obtained by fitting the available two-body data in S, P, D and F waves. This interaction has terms that are linear and quadratic in spin orbit and quadratic in the relative orbital angular momentum. The variational theory is extended to treat this realistic interaction model and nuclear matter properties are calculated with it neglecting many-nucleon interactions. The results of these calculations show that the empirically known properties of nucelar matter, such as its ground state energy, equilibrium density and compressibility, cannot be explained by this nuclear hamiltonian that incorporates only two-body interactions. Results obtained with other realistic two-nucleon interactions also fail to reproduce the empirical nuclear matter properties. Hence we postulate a form for a three-nucleon interaction (TNI), inspired from the meson theory of nuclear interactions. Instead of attempting to develop a variational theory to treat TNI microscopically in nuclear matter, we parametrize the effect of TNI on the energy of nuclear matter with three parameters. These are varied to obtain the empirical energy, density and compressibility of nuclear matter. The results of our calculations show that the TNI contribution on the energy is much smaller than that of the two-body v/sub 14/ interaction, as expected, and thus it may be reasonable to neglect four and more nucleon interactions in the nuclear hamiltonian.
- Research Organization:
- Illinois Univ., Urbana (USA)
- OSTI ID:
- 5186797
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MANY-BODY PROBLEM
HAMILTONIANS
NUCLEAR MATTER
NUCLEAR MODELS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATTER
QUANTUM OPERATORS
653002* - Nuclear Theory- Nuclear Matter
658000 - Mathematical Physics- (-1987)