Continuum level density of a coupled-channel system in the complex scaling method

Ryusuke Suzuki (1) , András T. Kruppa (2) , Bertrand G. Giraud (3) , Kiyoshi Katō (1)

1 Hokkaido University [Sapporo, Japan]
2 University of Debrecen Egyetem [Debrecen]
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681

We study the continuum level density (CLD) in the formalism of the complex scaling method (CSM) for coupled-channel systems. We apply the formalism to the $^4$He = [$^3$H + $p$] + [$^3$He + $n$] coupled-channel cluster model where there are resonances at ow energy. Numerical calculations of the CLD in the CSM with a finite number of L$^2$ basis functions are consistent with the exact result calculated from the S-matrix by solving coupled-channel equations. We also study channel densities. In this framework, the extended completeness relation (ECR) plays an important role.

Domains: Physics [physics]

Ryusuke Suzuki, András T. Kruppa, Bertrand G. Giraud, Kiyoshi Katō. Continuum level density of a coupled-channel system in the complex scaling method. Progress of Theoretical Physics, 2008, 119 (6), pp.949-963. ⟨10.1143/PTP.119.949⟩. ⟨cea-02888195⟩