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Prog. Theor. Phys. Vol. 92 No. 1 (1994) pp. 79-91

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The Complex Scaled Siegert Method in a Harmonic Oscillator Representation

Manabu Teshigawara, Kiyoshi Katō and Gennady F. Filippov*

Department of Physics, Hokkaido University, Sapporo 060
*Institute for Theoretical Physics, Ukrainian Academy of Sciences, Kiev

(Received February 7, 1994)

Abstract:

A complex scaled Siegert method in a harmonic oscillator representation is investigated to solve broad nuclear resonance states. In this method, the asymptotic wave function of the complex scaled resonance states is employed as an additional basis state, which is constructed by using a simple recurrence relation in the harmonic oscillator bases. It is also shown that this method is very powerful in cases of the Coulomb potential and in coupled channel systems.


URL : http://ptp.ipap.jp/link?PTP/92/79/
DOI : 10.1143/PTP.92.79

[ Full Text PDF : FREE ACCESS (1228K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 94 No. 3 (1995) pp. 343-352 :
    Theoretical Predictions of Low-Lying Three-Body Resonance States in 6He
    Shigeyoshi Aoyama, Shigeo Mukai, Kiyoshi Katō and Kiyomi Ikeda
  2. Progress of Theoretical Physics Vol. 119 No. 6 (2008) pp. 949-963 :
    Continuum Level Density of a Coupled-Channel System in the Complex Scaling Method
    Ryusuke Suzuki, András T. Kruppa, Bertrand G. Giraud and Kiyoshi Katō
  3. Progress of Theoretical Physics Supplement No.142 (2001) pp. 35-95 :
    Three-Body Binding and Resonant Mechanisms in Neutron-Rich Light Nuclei Far from Stability Line
    Shigeyoshi Aoyama, Kiyoshi Katō and Kiyomi Ikeda