Analysis of ^9Be (K^-, π^-) ^9_ΛBe Reaction by Multi-Channel 3-Body Faddeev Equations

Abstract

We propose a new formalism to investigate the energy spectra which was obtained in the K^- induced reaction on the ^9Be nucleus; ^9Be (K^- in-flight, π^-) ^9_ΛBe by Heidelberg-CERN, and also Heidelberg-Saclay-Strasbourg collaborations. This formalism is based on the three-body Faddeev equation for the multi clusters three-body model which is similar to the MTCC-method given for the ^6Li to reduce the six-body problems to three clusters. Here, the three cluster separation methods of ^9_ΛBe-hypernucleus are given by α-α-Λ, α-^4_ΛHe-n, α-^3_ΛH-d and α-^4_ΛH-p, and those of the target ^9Be-nucleus are by α-α-n and α-^3H-d, respectively.