Two-Particle Resonant States in a Many-Body Mean Field

Details Two-Particle Resonant States in a Many-Body Mean Field Two-Particle Resonant States in a Many-Body Mean Field

2002-01-28

arxiv.org/abs/nucl-th/0201077v1

Phys.Rev.Lett. 89 (2002) 042501

Physics

Nuclear Physics

Nuclear Theory

11 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.89.042501

A formalism to evaluate the resonant states produced by two particles moving outside a closed shell core is presented. The two particle states are calculated by using a single particle representation consisting of bound states, Gamow resonances and scattering states in the complex energy plane (Berggren representation). Two representative cases are analysed corresponding to whether the Fermi level is below or above the continuum threshold. It is found that long lived two-body states (including bound states) are mostly determined by either bound single-particle states or by narrow Gamow resonances. However, they can be significantly affected by the continuum part of the spectrum.

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