Abstract

• The purpose of our research is to determine the ͞ΚN potential parameters which reproduce the experimental binding energy and level width of Λ(1405) resonance as well as the ͞ΚN scattering parameter. Λ(1405) has been interpreted as a ͞ΚN 1quasi-bound state which is embedded in the π Σ continuum. Particle Data Group (PDG) interpreted on the experimental finding of K-p bound state that Λ(1405) is located around 1405MeV. Chiral dynamics claimed that there appears two poles in ͞ΚN- π Σ coupled channel system. The first pole is located around 1420MeV mainly coupled to ͞ΚN channel and the second pole is located around 1320MeV mainly coupled to Σ π channel. The position of ͞ΚN bound state is a still controversial issue. In order to get information about the ͞ΚN interaction, the parameter set 1 which satisfies the PDG data and the parameter set 2 which satisfies the Chiral model’s result for single channel are constructed by solving the Schrödinger equation with Yukawa-type separable potential. For the coupled-channel system, 2the optical potential is constructed based on the Feshbath theory and the parameter set 1 and set 2 of the optical potential are investigated. In our research, we assumed that the range parameters Λ 1 and Λ 2 are the same and the interaction between π Σ - π Σ: V22=0. Our calculated scattering length is consistent with the empirical value at the mass of exchanged boson; 600MeV/c2 for set 1 and 670MeV/c2 for set 2. For the coupled channel system, the parameter set 1 are Λ = 3.041fm-1, S11 = -1.074, S12 = 0.707 and U0 = -3.063 –i0.466MeV.fm3 while the parameter set 2 are Λ = 3.395fm-1, S11 = -0.890, S12 = 0.733 and U0 = -2.476 – i0.428MeV.fm3.