Strangeness +1 light multiquark baryons: a jinx?

In view of the renewing experimental interest for searching strangeness +1 baryons at J-PARC, we study the existence of light baryon resonances with strangeness +1 generated in the K- (N^*/^*) system, where N^* represents either N^* (1535) /N^* (1650) /N^* (1700), and ^* corresponds to (1620). The description of the properties of the aforementioned states requires considering the dynamics involved in the coupled pseudoscalar-baryon and vector-baryon systems with strangeness S=0 in the s-wave. For the purpose of our current study, we consider the pseudoscalar-baryon (PB) and vector-baryon channels (VB) to which the mentioned N^* and ^* resonances couple and solve the Faddeev equations for the coupled channel system K-PB, K-VB, with all interactions being in the s-wave. Despite some strong attraction present in two of the subsystems, we do not find clear evidence supporting the formation of strangeness +1 states, with spin-parity JP=1/2^+, in the energy region 2000-2200 MeV. However, the case of spin-parity JP=3/2^+ seems more promising, showing the formation of a resonance with a mass around 2167 MeV, with a width of 90-100 MeV. We suggest that a signal of such a state could be found in processes with final states like KN, K^* (892) N.