Pionic decay of a possible d'-dibaryon and the short-range NN interaction

Abstract

We study the pionic decay of a possible dibaryon d' --> N N πin the microscopic quark shell model. The initial d' dibaryon wave function (J^P=0^-, T=0) consists of one 1\hbarωsix-quark shell-model s^5p[51]_X configuration. The most important final six-quark configurations s^6[6]_X, s^4p^2[42]_X and (s^4p^2-s^52s)[6]_X are properly projected onto the NN channel. The final state NN interaction is investigated by means of two phase-equivalent - but off-shell different - potential models. We demonstrate that the decay width Γ_d' depends strongly on the short-range behavior of the NN wave function. In addition, the width Γ_d' is very sensitive to the mass and size of the d' dibaryon. For dibaryon masses slightly above the experimentally suggested value M_d'=2.065 GeV, we obtain a pionic decay width of Γ_d' = 0.18 - 0.32 MeV close to the experimental value Γ_d' = 0.5 MeV.