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

preprint2005arXivOpen access

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.

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