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

Abstract : 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.
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https://hal-cea.archives-ouvertes.fr/cea-02888195
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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, Publication Office of Progress of Theoretical Physics, 2008, 119 (6), pp.949-963. ⟨10.1143/PTP.119.949⟩. ⟨cea-02888195⟩

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