Resonance width for a particle–core coupling model with a square-well potential

Author:

Hagino K123,Sagawa H45,Kanaya S6,Odahara A6

Affiliation:

1. Department of Physics, Tohoku University, Sendai 980-8578, Japan

2. Research Center for Electron Photon Science, Tohoku University, 1-2-1 Mikamine, Sendai 982-0826, Japan

3. Department of Physics, Kyoto University, Kyoto 606-8502, Japan

4. RIKEN Nishina Center, Wako 351-0198, Japan

5. Center for Mathematics and Physics, University of Aizu, Aizu-Wakamatsu, Fukushima 965-8560, Japan

6. Department of Physics, Osaka University, Osaka 560-0043, Japan

Abstract

Abstract We derive a compact formula for the width of a multi-channel resonance state. To this end, we use a deformed square-well potential and solve the coupled-channels equations. We obtain the $S$-matrix in the Breit–Wigner form, from which partial widths can be extracted. We apply the resultant formula to a deformed nucleus and discuss the behavior of partial width for an $s$-wave channel.

Publisher

Oxford University Press (OUP)

Subject

General Physics and Astronomy

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