Level Density in the Complex Scaling Method

Details Level Density in the Complex Scaling Method Level Density in the Complex Scaling Method

2005-02-03

arxiv.org/abs/nucl-th/0502012v3

Physics

Nuclear Physics

Nuclear Theory

14 pages, 9 figures, To be published in Progress of Theoretical Physics

Scientific paper

10.1143/PTP.113.1273

It is shown that the continuum level density (CLD) at unbound energies can be calculated with the complex scaling method (CSM), in which the energy spectra of bound states, resonances and continuum states are obtained in terms of $L^2$ basis functions. In this method, the extended completeness relation is applied to the calculation of the Green functions, and the continuum-state part is approximately expressed in terms of discretized complex scaled continuum solutions. The obtained result is compared with the CLD calculated exactly from the scattering phase shift. The discretization in the CSM is shown to give a very good description of continuum states. We discuss how the scattering phase shifts can inversely be calculated from the discretized CLD using a basis function technique in the CSM.

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