Using Continuum Level Density in the Pairing Hamiltonian: BCS and Exact Solutions

ID BETAN, RODOLFO

NUCLEAR PHYSICS A

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2012 vol. 879 p. 14 - 14

0375-9474

Pairing plays a central role in nuclear systems. The simplest model for the pairing is the constant-pairing Hamiltonian. The aim  of the present paper is to include the continuum single particle level density in the constant pairing Hamiltonian and tomake a comparison between the approximate BCS and the exact Richardson solutions.The continuum is introduced by using the continuum single particle level density. It is shown that the continuum makes an important contribution to the pairing parameter even in those case when the continuum is weakly populated.It is shown that while the approximate BCS solution depends on the model space the exact Richardson solution does not.