RPA calculations with Gaussian expansion method |
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| Authors: | H Nakada K Mizuyama M Yamagami M Matsuo |
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| Institution: | aDepartment of Physics, Graduate School of Science, Chiba University, Yayoi-cho 1-33, Inage, Chiba 263-8522, Japan;bDepartment of Physics, University of Jyväskylä, PO Box 35 (YFL), FI-40014, Jyväskylä, Finland;cDepartment of Computer Science and Engineering, University of Aizu, Aizu-Wakamatsu, Fukushima 965-8580, Japan;dDepartment of Physics, Faculty of Science, Niigata University, Niigata 950-2181, Japan |
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| Abstract: | The Gaussian expansion method (GEM) is applied to calculations of the nuclear excitations in the random-phase approximation (RPA). We adopt the mass-independent basis-set that is successful in the mean-field calculations. The RPA results obtained by the GEM are compared with those obtained by several other available methods in Ca isotopes, by using a density-dependent contact interaction along with the Woods–Saxon single-particle states. It is confirmed that energies, transition strengths and widths of their distribution are described by the GEM with good precision, for the 1−, 2+ and 3− collective states. The GEM is then applied to the self-consistent RPA calculations with the finite-range Gogny D1S interaction. The spurious center-of-mass motion is well separated from the physical states in the E1 response, and the energy-weighted sum rules for the isoscalar transitions are fulfilled reasonably well. Properties of low-energy transitions in 60Ca are investigated in some detail. |
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| Keywords: | RPA calculation Gaussian expansion method Finite-range interaction Giant resonance |
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