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Adiabatic hyperspherical approach to large-scale nuclear dynamics
Author(s) -
Yasuyuki Suzuki
Publication year - 2015
Publication title -
progress of theoretical and experimental physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 53
ISSN - 2050-3911
DOI - 10.1093/ptep/ptv052
Subject(s) - physics , adiabatic process , hamiltonian (control theory) , collective motion , statistical physics , scale (ratio) , classical mechanics , fourier transform , quantum mechanics , mathematical optimization , mathematics
We formulate a fully microscopic approach to large-scale nuclear dynamics using a hyperradius as a collective coordinate. An adiabatic potential is defined by taking account of all possible configurations at a fixed hyperradius, and its hyperradius dependence plays a key role in governing the global nuclear motion. In order to go to larger systems beyond few-body systems, we suggest basis functions of a microscopic multicluster model, propose a method for calculating matrix elements of an adiabatic Hamiltonian with use of Fourier transforms, and test its effectiveness.

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