Kaon-Nucleon systems and their interactions in the Skyrme model

Abstract

We study kaon-nucleon systems in the Skyrme model in a method based on the bound state approach of Callan-Klebanov but with the kaon around the physical nucleon of the rotating hedgehog.This corresponds to the variation after projection, reversing the order of semiclassical quantization of 1/N c expansion. The method, however, is considered to be suited to the study of weakly interacting kaon-nucleon systems including looselyKN bound states such as Λ(1405). We have found a bound state with binding energy of order ten MeV, consistent with the observed state. We also discuss theKN interaction and find that it consists of an attraction in the middle range and a repulsion in the short range.

Searching for possible Ωc -like molecular states from meson-baryon interaction

“…Therefore, searching for exotic states from hadron and strange meson interaction is very important, and a further exploration on a charmed-strange baryon and an anti-strange meson interaction is needed. D s1 (2460) 0(1 + ) D * K [29][30][31][32] f 0 (980) 0(0 + ) KK [33][34][35] f 1 (1285) 0(1 + ) K * K [36][37][38][39] Λ(1405) 0(1/2 − ) NK [40][41][42] The LHCb Collaboration announced that five new Ω c states were observed in Ξ + c K − channel [43]. We should emphasize that no resonant-like signals were found in the Ξ * + c K + channel, which is a natural case if the observed states are standard three quark states.…”

Kaon-Nucleon Interactions in the Skyrme Model

“…The explicit expressions for each term and the detailed derivation are shown in Ref. [9]. Solving this equation Eq.…”

Kaon-nucleon scattering states and potentials in the Skyrme model

“…Detailed discussions have been done in Ref. [6]. Let us start with the following Lagrangian for the SU(3)-valued field U = U (r)…”

“…In this article, we first discuss the phase shift for kaon-nucleon scattering states by a modified bound state approach proposed in the previous work [6]. Our approach is based on the bound state approach which is proposed by Callan and Klebanov [7,8].…”