Improvement of the Θ width estimation method on the Light Cone

Recently, Diakonov and Petrov have derived a formalism in the Relativistic Mean Field Approximation allowing one to derive the 3-, 5-, 7-, . . . quark wavefunctions for the octet, decuplet and antidecuplet. They have used this formalism and many strong approximations in order to estimate the exotic Θ width. The latter has been estimated to ∼ 4 MeV. Besides they obtained that the 5-quark component of the nucleon is 50% of its 3-quark component meaning that relativistic effects are not small. We have improved the technique by taking into account some relativistic corrections and considering the previously neglected 5-quark exchange diagrams. We also have computed all nucleon axial charges. It turns out that exchange diagrams affect very little Diakonov’s and Petrov’s results while relativistic corrections reduce the Θ width to ∼ 2 MeV and the 5to 3-quark component of the nucleon ratio to 30%.