Recent development of Monte Carlo shell model and its application to no-core calculations

Abe, T.; Maris, P.; Otsuka, T.; Shimizu, N.; Tsunoda, Y.; Utsuno, Y.; Vary, J. P.; Yoshida, T.

doi:10.1088/1742-6596/454/1/012066

Title: Recent development of Monte Carlo shell model and its application to no-core calculations

Journal Article · Thu Aug 01 00:00:00 EDT 2013 · Journal of Physics. Conference Series (Online)

DOI:https://doi.org/10.1088/1742-6596/454/1/012066· OSTI ID:1567331

Abe, T. ^[1]; Maris, P. ^[2]; Otsuka, T. ^[3]; Shimizu, N. ^[1]; Tsunoda, Y. ^[1]; Utsuno, Y. ^[4]; Vary, J. P. ^[2]; Yoshida, T. ^[1]

Univ. of Tokyo (Japan)
Iowa State Univ., Ames, IA (United States)
Univ. of Tokyo (Japan); Michigan State Univ., East Lansing, MI (United States)
Japan Atomic Energy Agency (JAEA), Tokai (Japan)

One of the major challenges in nuclear theory is to reproduce and to predict nuclear structure from ab initio calculations with realistic nuclear forces. As the current limitation of direct diagonalization of Hamiltonian matrices by Lanczos iteration method is around the order of matrix dimensionality 10¹⁰ in shell-model calculations, it is difficult to access heavier nuclei beyond the p shell with sufficiently large basis spaces. It is possible to overcome this difficulty by utilizing efficient approximate methods to reproduce full ab initio solutions with good precision and quantified uncertainties. Following the major success of the Monte Carlo shell model (MCSM) with an assumed inert core in the sd- and pf-shell regions and also by recent developments in the MCSM algorithm, the no-core MCSM is expected to be one of the most powerful tools to meet these conditions. We have performed benchmark calculations in the p-shell region. Results of energies are compared with those in the full configuration interaction and no-core full configuration methods. These are found to be consistent with each other within quoted uncertainties when they could be quantified. We also compare and discuss the radial density of the helium-4 ground state extracted from the MCSM and FCI many-body wave functions.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of California, Oakland, CA (United States); UT-Battelle LLC/ORNL, Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States); Iowa State Univ., Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; AC05-00OR22725; FG02-06ER41407; FG02-87ER40371; SC0008485

OSTI ID:: 1567331

Journal Information:: Journal of Physics. Conference Series (Online), Vol. 454; Conference: 24. IUPAP Conference on Computational Physics (IUPAP-CCP 2012), Kobe (Japan), 14-18 Oct 2012; ISSN 1742-6596

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 3 works

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