Quantum Monte Carlo calculations of excited states in A =6-8 nuclei

By S. Pieper, R. Wiringa, J. Carlson. 2004

156 citations recorded by the source corpus.

A variational Monte Carlo method is used to generate sets of orthogonal trial functions, ${\ensuremath{\Psi}}_{T}({J}^{\ensuremath{\pi}};T)$, for given quantum numbers in various light $p$-shell nuclei. These ${\ensuremath{\Psi}}_{T}$ are then used as input to Green's function Monte Carlo (GFMC) calculations of first, second, and higher excited $({J}^{\ensuremath{\pi}};T)$ states. Realistic two- and three-nucleon interactions are used. We find that if the physical excited state is reasonably narrow, the GFMC energy converges to a stable result. With the combined Argonne ${\mathrm{v}}_{18}$ two-nucleon and Illinois-2 three-nucleon interactions, the results for many second and higher states in $A=6\char21{}8$ nuclei are close to the experimental values.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/79c7c6791b9685d29b8f6170cb28c0098e9b485a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Solar fusion cross sections II: the pp chain and CNO cycles (2010, background): “The high quality of the QMC predictions for energies of bound states and sharp resonances in nuclei with A ≤ 12, and for charge radii, electromagnetic moments, and other observables, has been thoroughly established (Pieper et al., 2001, 2002, 2004).”