https://doi.org/10.1051/epjconf/201612202003
Stochastic estimation of level density in nuclear shell-model calculations
1 Center for Nuclear Study, the University of Tokyo, Hongo Tokyo 113-0033, Japan
2 Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Ibaraki 319-1195, Japan
3 Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, 305-8573, Japan
4 CREST, Japan Science and Technology Agency, Kawaguchi, 332-0012 Japan
5 Institute of Natural Sciences, Senshu University, Tokyo 101-8425 Japan
6 Department of Physics, the University of Tokyo, Hongo Tokyo 113-0033 Japan
7 National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI 48824 USA
8 Instituut voor Kern- en Stralingsfysica, Katholieke Universiteit Leuven, B-3001 Leuven, Belgium
a e-mail: shimizu@cns.s.u-tokyo.ac.jp
Published online: 21 June 2016
An estimation method of the nuclear level density stochastically based on nuclear shell-model calculations is introduced. In order to count the number of the eigen-values of the shell-model Hamiltonian matrix, we perform the contour integral of the matrix element of a resolvent. The shifted block Krylov subspace method enables us its efficient computation. Utilizing this method, the contamination of center-of-mass motion is clearly removed.
© The Authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.