%0 Journal Article %T Continuum level density of a coupled-channel system in the complex scaling method %+ Hokkaido University [Sapporo, Japan] %+ University of Debrecen Egyetem [Debrecen] %+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT) %A Suzuki, Ryusuke %A Kruppa, András T. %A Giraud, Bertrand G. %A Katō, Kiyoshi %< avec comité de lecture %@ 0033-068X %J Progress of Theoretical Physics %I Publication Office of Progress of Theoretical Physics %V 119 %N 6 %P 949-963 %8 2008-06-01 %D 2008 %R 10.1143/PTP.119.949 %Z Physics [physics]Journal articles %X 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. %G English %2 https://cea.hal.science/cea-02888195/document %2 https://cea.hal.science/cea-02888195/file/Gira1.pdf %L cea-02888195 %U https://cea.hal.science/cea-02888195 %~ CEA %~ CNRS %~ DSM-IPHT %~ CEA-DRF %~ GS-MATHEMATIQUES %~ GS-PHYSIQUE