Quantum Monte Carlo calculations of A˜9,10 nuclei

By S. Pieper, Kalman Varga, R. Wiringa. 2002

246 citations recorded by the source corpus.

We report on quantum Monte Carlo calculations of the ground and low-lying excited states of $A=9,10$ nuclei using realistic Hamiltonians containing the Argonne $v_{18}$ two-nucleon potential alone or with one of several three-nucleon potentials, including Urbana IX and three of the new Illinois models. The calculations begin with correlated many-body wave functions that have an $\alpha$-like core and multiple p-shell nucleons, $LS$-coupled to the appropriate $(J^{\pi};T)$ quantum numbers for the state of interest. After optimization, these variational trial functions are used as input to a Green's function Monte Carlo calculation of the energy, using a constrained path algorithm. We find that the Hamiltonians that include Illinois three-nucleon potentials reproduce ten states in $^9$Li, $^9$Be, $^{10}$Be, and $^{10}$B with an rms deviation as little as 900 keV. In particular, we obtain the correct 3$^+$ ground state for $^{10}$B, whereas the Argonne $v_{18}$ alone or with Urbana IX predicts a 1$^+$ ground state. In addition, we calculate isovector and isotensor energy differences, electromagnetic moments, and one- and two-body density distributions.

View Paper: https://www.semanticscholar.org/paper/27677e207a1d7f23fb48cd7535215d0ad3633444

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1. H. Hammer
2. E. Braaten
3. Dean Lee
4. G. Mart'inez-Pinedo
5. E. Adelberger
6. H. Horiuchi
7. E. Caurier
8. U. Meissner

Citations in the corpus

• The shell model as a unified view of nuclear structure (2004, background): “…spectrum of 10 B, as found through the No Core Shell Model (NCSM) calculations of Navrátil and Ormand (2002) and Caurier et al. (2002), confirmed by Pieper, Varga, and Wiringa (2002), who also show that the problems can be remedied to a large extent by introducing the new Illinois 3b potentials…”
• Microscopic clustering in light nuclei (2017, methodology): “GFMC has been used to compute the spectra of many light nuclei (Wiringa et al., 2000; Pieper andWiringa, 2001; Pieper, Varga, and Wiringa, 2002).”
• 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).”
• Universality in few‐body systems with large scattering length (2004, methodology): “The binding energies of the ground and excited states for nuclei up to atomic mass number A = 10 have been calculated using quantum Monte Carlo methods and the no-core shell model (189; 190; 191).”