ヤマガタ ジュンコ   YAMAGATA JUNKO
  山縣 淳子
   所属   京都産業大学  理学部 物理科学科
   職種   教授
言語種別 英語
発行・発表の年月 2011/01
形態種別 研究論文
査読 査読あり
標題 Couplings in coupled channels versus wave functions in the case of resonances: Application to the two A(1405) states
執筆形態 その他
掲載誌名 PHYSICAL REVIEW D
出版社・発行元 AMER PHYSICAL SOC
巻・号・頁 83(1),pp.014003-1-014003-15
著者・共著者 J. Yamagata-Sekihara,J. Nieves,E. Oset
概要 In this paper we develop a formalism to evaluate wave functions in momentum and coordinate space for the resonant states dynamically generated in a unitary coupled channel approach. The on-shell approach for the scattering matrix, commonly used, is also obtained in quantum mechanics with a separable potential, which allows one to write wave functions in a trivial way. We develop useful relationships among the couplings of the dynamically generated resonances to the different channels and the wave functions at the origin. The formalism provides an intuitive picture of the resonances in the coupled channel approach, as bound states of one bound channel, which decays into open ones. It also provides an insight and practical rules for evaluating couplings of the resonances to external sources and how to deal with final state interaction in production processes. As an application of the formalism we evaluate the wave functions of the two A(1405) states in the pi Sigma, (K) over barN, and other coupled channels. It also offers a practical way to study three-body systems when two of them cluster into a resonance.
DOI 10.1103/PhysRevD.83.014003
ISSN 2470-0010/2470-0029