Quantum Monte Carlo calculations of light nuclei

Journal Article · Mon Dec 21 04:00:00 EST 1998 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.57240· OSTI ID:21207781

Pieper, Steven C ^[1]

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1. Physics Division, Argonne National Laboratory, Argonne Illinois 60439 (United States)

Quantum Monte Carlo calculations using realistic two- and three-nucleon interactions are presented for nuclei with up to eight nucleons. We have computed the ground and a few excited states of all such nuclei with Greens function Monte Carlo (GFMC) and all of the experimentally known excited states using variational Monte Carlo (VMC). The GFMC calculations show that for a given Hamiltonian, the VMC calculations of excitation spectra are reliable, but the VMC ground-state energies are significantly above the exact values. We find that the Hamiltonian we are using (which was developed based on {sup 3}H,{sup 4}He, and nuclear matter calculations) underpredicts the binding energy of p-shell nuclei. However our results for excitation spectra are very good and one can see both shell-model and collective spectra resulting from fundamental many-nucleon calculations. Possible improvements in the three-nucleon potential are also be discussed.

• OSTI ID: 21207781
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 455; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
EXCITATION
EXCITED STATES
GREEN FUNCTION
GROUND STATES
HAMILTONIANS
HELIUM 4
MONTE CARLO METHOD
NUCLEAR MATTER
NUCLEAR POTENTIAL
NUCLEONS
PROTON-PROTON INTERACTIONS
SCHROEDINGER EQUATION
SHELL MODELS
TRITIUM
VARIATIONAL METHODS