Green's function Monte Carlo study of light nuclei

Journal Article · Sun Nov 01 04:00:00 EST 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.36.2026· OSTI ID:5943244

Carlson, J

The first Green's function Monte Carlo calculations of A = 3 and 4 nuclei with spin-dependent interactions are reported. Green's function Monte Carlo methods for calculating the properties of coupled channel quantum systems are described in detail, including both exact and approximate schemes. Results are presented for A = 3 and 4 nuclei with a V6 interaction. For the triton, the Green's function Monte Carlo calculations are compared with Faddeev and variational methods. Green's function Monte Carlo calculations of the alpha particle provide the first test of variational methods for systems with spin-dependent interactions. For this interaction, variational methods underestimate the binding energy of the alpha particle by approx. =2 MeV. Other ground state properties of light nuclei have also been determined. Implications of these results for more realistic interactions are discussed, along with the possibility of future extensions of Green's function Monte Carlo methods to treat momentum dependent and three nucleon interactions.

• Research Organization: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5943244
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 36:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA PARTICLES
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
BINDING ENERGY
CHARGED PARTICLES
COUPLED CHANNEL THEORY
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
FADDEEV EQUATIONS
FUNCTIONS
GREEN FUNCTION
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
LIGHT NUCLEI
MONTE CARLO METHOD
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PROPAGATOR
SCHROEDINGER EQUATION
SPIN
TRITONS
VARIATIONAL METHODS
WAVE EQUATIONS