Stochastic estimation of nuclear level density in the nuclear shell model: An application to parity-dependent level density in up>58up>Ni

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• 作者：Noritaka Shimizuup>aup>up> ; up>up>shimizu@cns.s.u-tokyo.ac.jp" class="auth_mail" title="E-mail the corresponding authorup> ; Yutaka Utsunoup>aup>up> ; up>up>bup> ; Yasunori Futamuraup>cup> ; Tetsuya Sakuraiup>cup>up> ; up>up>dup> ; Takahiro Mizusakiup>eup> ; Takaharu Otsukaup>aup>up> ; up>up>fup>up> ; up>up>gup>up> ; up>up>hup>
• 关键词：Nuclear level density ; Nuclear shell model ; Conjugate gradient method ; Parity dependence
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 February 2016
• 年：2016
• 卷：753
• 期：Complete
• 页码：13-17
• 全文大小：361 K

文摘

We introduce a novel method to obtain level densities in large-scale shell-model calculations. Our method is a stochastic estimation of eigenvalue count based on a shifted Krylov-subspace method, which enables us to obtain level densities of huge Hamiltonian matrices. This framework leads to a successful description of both low-lying spectroscopy and the experimentally observed equilibration of ulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269315009363&_mathId=si1.gif&_user=111111111&_pii=S0370269315009363&_rdoc=1&_issn=03702693&md5=02e127e432c7c46c6b7395a45398d158" title="Click to view the MathML source">Jup>πup>=2up>+up> and ulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269315009363&_mathId=si2.gif&_user=111111111&_pii=S0370269315009363&_rdoc=1&_issn=03702693&md5=61d4f8dc9be17a80f72628a74883eecd" title="Click to view the MathML source">2up>−up> states in up>58up>Ni in a unified manner.