Meson-baryon s-wave resonances with strangeness -3
Departamento de Fısica Atómica, Molecular y Nuclear, Universidad de Granada, E-18071, Granada, Spain
Accepted: 15 November 2006
Published online: 14 March 2007
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¯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 2240MeV in the sector 1(1/2-), and for π ± Ω - and K - Ξ *- resonances with masses around 2260MeV in the sector 1(3/2-).
PACS: 11.30.Hv Flavor symmetries – / 11.30.Ly Other internal and higher symmetries – / 11.10.St Bound and unstable states; Bethe-Salpeter equations – / 11.30.Rd Chiral symmetries –
© Società Italiana di Fisica and Springer-Verlag, 2007