Local harmonic approaches with approximate cranking operators

Details Local harmonic approaches with approximate cranking operators Local harmonic approaches with approximate cranking operators

1999-04-20

arxiv.org/abs/nucl-th/9904054v2

Phys.Rev. C61 (2000) 014302

Physics

Nuclear Physics

Nuclear Theory

29 pages, 5 figures

Scientific paper

10.1103/PhysRevC.61.014302

Methods of large amplitude collective motion in the adiabatic limit are examined with a special emphasis on conservation laws. We show that the restriction to point transformations, which is a usual assumption of the adiabatic time-dependent mean-field theory, needs to be lifted. In order to facilitate the application of large amplitude collective motion techniques, we examine the possibility of representing the RPA normal-mode coordinates by linear combinations of a limited number of one-body operators. We study the pairing-plus-quadrupole model of Baranger and Kumar as an example, and find that such representations exist in terms of operators that are state-dependent in a characteristic manner.

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