Study of Pentaquark and $Λ(1405)$

Abstract

We perform a five-body calculation for pentaquark $(q^4\bar{q})$ state of $Λ(1405)$ as well as the three-body calculations for the ground state baryons and the $Λ(1405)$, and two-body calculations for mesons. The hamiltonian, which reproduces reasonably well the energies of ground state baryons ($N,Λ,Σ,Ξ$ and $Δ$) and mesons ($π,K,ρ,K^\ast$), includes kinetic energy of semi-relativistic form, linear confinement potential, and the simplest form of color-magnetic interaction with Gaussian form factor. Flavor symmetry breaking ($m_s> m_{u,d}$) is taken into account. The energy calculated for $(q^4\bar{q})$ state of $Λ(1405)$ is lower than the energy for the $(q^3)$ state. The present result suggests that the $Λ(1405)$ is a pentaquark-dominated state if the color-magnetic potential plays a leading role of the quark-quark and quark-antiquark interactions.

talk given at Particles and Nuclei International Conference (PANIC05), Santa Fe, New Mexico, 24-28 Oct 2005