Meson-baryon s-wave resonances with strangeness -3

Abstract

Starting from a consistent SU(6) extension of the Weinberg-Tomozawa (WT) meson-baryon chiral Lagrangian (Phys. Rev. D 74, 034025 (2006)), we study the s-wave meson-baryon resonances in the strangeness S = −3 and negative-parity sectors. Those resonances are generated by solving the Bethe-Salpeter equation with the WT interaction used as kernel. The considered mesons are those of the 35-SU(6)-plet, which includes the pseudoscalar (PS) octet of pions and the vector (V) nonet of the rho-meson. For baryons we consider the 56-SU(6)-plet, made of the 1/2+ octet of the nucleon and the 3/2+ decuplet of the Delta. Quantum numbers I(J P ) = 0(3/2−) are suggested for the experimental resonances ω*(2250)− and ω*(2380)−. Among other, resonances with I = 1 are found, which minimal quark content is sss \( \bar l \) l′, being s the strange quark and l, l′ any of the the light up or down quarks. A clear signal for such a pentaquark would be a baryonic resonance with strangeness −3 and electric charge −2 or 0, in proton charge units. We suggest looking for K − Ξ − resonances with masses around 2100 and 2240 MeV in the sector 1(1/2−), and for π ± ω − and K − Ξ*− resonances with masses around 2260 MeV in the sector 1(3/2−).