Theoretical Predictions of Low-Lying Three-Body Resonance States in ⁶He

Abstract

Using the cluster orbital shell model of the ⁴He+n+n three-body system, we investigate low-lying resonance states described by the p-shell configurations of two valence neutrons in ⁶He. Applying the complex scaling method, we calculate resonance energies and decay widths (lifetimes) of excited 0⁺, 1⁺ and 2⁺ states. In addition to the first excited 2⁺ state, which has experimentally been observed and reproduced well by this model, we predict the second 2⁺ (E_x=3.43 MeV, Г= 4.75 MeV), the first 1⁺ (E_x=3.75 MeV, Г=6.39 MeV) and the second 0⁺ (E_x=4.69 MeV, Г=9.45 MeV) three-body resonance states.

Citing Article(s):

1. Progress of Theoretical Physics Vol. 99 No. 4 (1998) pp. 623–634

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   The Binding Mechanism and a Low-Lying Resonance in ¹¹Li Shigeyoshi Aoyama, Kiyoshi Katō, Takayuki Myo and Kiyomi Ikeda

3. Progress of Theoretical Physics Vol. 108 No. 1 (2002) pp. 133–156

   Extended ⁹Li+n+n Three-Body Model of ¹¹Li with a Pairing Correlation in ⁹Li Takayuki Myo, Shigeyoshi Aoyama, Kiyoshi Katō and Kiyomi Ikeda

4. Progress of Theoretical Physics Vol. 116 No. 1 (2006) pp. 1–35

   The Complex Scaling Method for Many-Body Resonances and Its Applications to Three-Body Resonances Shigeyoshi Aoyama, Takayuki Myo, Kiyoshi Katō and Kiyomi Ikeda

5. 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

6. Progress of Theoretical Physics Supplement No.192 (2012) pp. 1–238

   Recent Developments in Nuclear Cluster Physics Hisashi Horiuchi, Kiyomi Ikeda and Kiyoshi Katō

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