Computational methods for the nuclear and neutron matter problems: Progress report
This proposal is concerned with the use of Monte Carlo methods as a numerical technique in the study of nuclear structure. The straightforward use of Monte Carlo in nuclear physics has been impeded by certain technical difficulties. Foremost among them is the fact that numerical integration of the Schr/umlt o/dinger equation, by now straightforward for the ground state of boson systems, is substantially more difficult for many-fermion systems. The first part of this proposal outlines a synthesis of several advances into a single experimental algorithm. The proposed work is to implement and study the properties of the algorithm with simple models of few-body nuclei as the physical system to be investigated. Variational Monte Carlo remains an extremely powerful and useful method. Its application to nuclear structure physics presents unique difficulties. The varieties of interactions in the phenomenological potentials must be reflected in a corresponding richness of the correlations in accurate trial wave functions. Then the sheer number of terms in such trial fashions written as a product of pairs presents specific difficulties. We have had good success in our first experiments on a random field method that decouples the interactions and propose to extend our research to /sup 16/O and to p-shell nuclei. Spin-orbit terms present special problems as well, because the implied gradient operators must be applied repeatedly. We propose to treat them in first order only, for now, and to calculate the result in three- and four-body nuclei. We propose a new Monte Carlo method for computing the amplitude of deuteron components in trial functions for heavier nuclei (here, specifically for /sup 6/Li). The method is an extension of that used for off-diagonal matrix elements in quantum fluids.
- Research Organization:
- New York Univ., NY (USA). Courant Inst. of Mathematical Sciences
- DOE Contract Number:
- AC02-79ER10353
- OSTI ID:
- 6390159
- Report Number(s):
- DOE/ER/10353-T3; ON: DE89013502
- Resource Relation:
- Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
NUCLEAR MATTER
CALCULATION METHODS
NUCLEAR STRUCTURE
MONTE CARLO METHOD
CORRELATIONS
DEUTERONS
EXPECTATION VALUE
FERMIONS
GREEN FUNCTION
HYPERNUCLEI
L-S COUPLING
MATRIX ELEMENTS
NUCLEAR POTENTIAL
PROGRESS REPORT
QUARK MODEL
SCHROEDINGER EQUATION
VARIATIONAL METHODS
WAVE FUNCTIONS
CHARGED PARTICLES
COMPOSITE MODELS
COUPLING
DIFFERENTIAL EQUATIONS
DOCUMENT TYPES
EQUATIONS
FUNCTIONS
INTERMEDIATE COUPLING
MATHEMATICAL MODELS
MATTER
NUCLEAR FRAGMENTS
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
POTENTIALS
WAVE EQUATIONS
653002* - Nuclear Theory- Nuclear Matter
653003 - Nuclear Theory- Nuclear Reactions & Scattering