Estimate of the Theta+ width in the Relativistic Mean Field Approximation

Abstract

In the Relativistic Mean Field Approximation three quarks in baryons from the lowest octet and the decuplet are bound by the self-consistent chiral field, and there are additional quark-antiquark pairs whose wave function also follows from the mean field. We present a generating functional for the 3-quark, 5-quark, 7-quark ... wave functions inside the octet, decuplet and antidecuplet baryons treated in a universal and compact way. The 3-quark components have the SU(6)-symmetric wave functions but with specific relativistic corrections which are generally not small. In particular, the normalization of the 5-quark component in the nucleon is about 50% of the 3-quark component. We give explicitly the 5-quark wave functions of the nucleon and of the exotic Theta+. We develop a formalism how to compute observables related to the 3- and 5-quark Fock components of baryons, and apply it to estimate the Theta+ width which turns out to be very small, 2-4 MeV, although with a large uncertainty.