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+π in the microscopic quark shell model. The initial d′ dibaryon wave function (JP=0-, T=0) consists of one 1ħω six-quark shell-model s5p[51]X configuration. The most important final six-quark configurations s6[6]X, s4p2[42]X, and (s4p2-s52s)[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 Γd′ depends strongly on the short-range behavior of the NN wave function. In addition, the width Γd′ is very sensitive to the mass and size of the d′ dibaryon. For dibaryon masses slightly above the experimentally suggested value Md′=2.065GeV, we obtain a pionic decay width of Γd′≈0.18–0.32MeV close to the experimental value Γd′≈0.5MeV.