Quantum Monte Carlo Calculations of $A\le 6$ Nuclei

Abstract

The energies of ${}^{3}H$, ${}^{3}He$, and ${}^{4}He$ ground states, the ${\frac{3}{2}}^{-}$ and ${\frac{1}{2}}^{-}$ scattering states of ${}^{5}He$, the ground states of ${}^{6}He$, ${}^{6}Li$, and ${}^{6}Be$ and the $3^{+}$ and $0^{+}$ excited states of ${}^{6}Li$ have been accurately calculated with the Green's function Monte Carlo method using realistic models of two- and three-nucleon interactions. The splitting of the $A=3$ isospin $T=\frac{1}{2}$ and $A=6$ isospin $T=1$, $J^{\pi }=0^{+}$ multiplets is also studied. The observed energies and radii are generally well reproduced, however, some definite differences between theory and experiment can be identified.

12 pages, 1 figure

References in corpus (12)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Realistic models of pion-exchange three-nucleon interactions
• Quantum Monte Carlo calculations of A=8 nuclei
• Benchmark Test Calculation of a Four-Nucleon Bound State
• Spin-Isospin Structure and Pion Condensation in Nucleon Matter
• Electromagnetic Structure of the Trinucleons
• Microscopic calculation of 6Li elastic and transition form factors
• Weak Transitions in A=6 and 7 Nuclei
• Nucleon polarization in three-body models of polarized \bbox{^6}Li

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