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Nuclear collective motions in a self-consistent Landau-Vlasov approach
Affiliation:1. State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China;2. School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the Cosmos, Beihang University, Beijing 100191, China;1. School of Building Construction, Georgia Institute of Technology, United States;2. School of Architecture, Georgia Institute of Technology, United States;1. Nuclear Physics Department, Taras Shevchenko National University, Kyiv, Ukraine;2. NAPC—Nuclear Data Section, International Atomic Energy Agency, Vienna, Austria;1. State Key Laboratory of New Ceramics and Fine Processing, School of Materials Science and Engineering, Tsinghua University, Beijing, 100084, People’s Republic of China;2. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong Special Administrative Region, People''s Republic of China
Abstract:A semiclassical theory of nuclear collective motions based on the Vlasov equation is extended to take into account self-consistency effects provided by the residual interaction. Using separable forces a correlated response function is derived which has several striking similarities with fully quantum results. Explicit spin-orbit terms are also included through a clear WKB correspondence with the quantum response. Finite temperature effects are analysed showing little change in the strength distribution. Through a relaxation time approach two-body collision terms are introduced. This is essential to account for the damping widths of isoscalar quadrupole and octupole giant resonances. However a quite important interplay between self-consistent (Landau damping) and collisional damping is also revealed.
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