Decay width of the d⁎(2380)→NNπ process in a chiral constituent quark model

Abstract

The width of three-body single-pion decay process d⁎→NNπ0,± is calculated by using the d⁎ wave function obtained from our chiral SU(3) constituent quark model calculation. The effect of the dynamical structure on the width of d⁎ is taken into account in both the single ΔΔ channel and coupled ΔΔ+CC two-channel approximations. Our numerical result shows that in the coupled-channel approximation, namely, the hidden-color configuration being considered, the obtained partial decay width of d⁎→NNπ is about several hundred keV, while in the single ΔΔ channel it is just about 2∼3 MeV. We, therefore, conclude that the partial width in the single-pion decay process of d⁎ is much smaller than the widths in its double-pion decay processes. Our prediction may provide a criterion for judging different interpretations of the d⁎ structure, as different pictures for the d⁎ may result quite different partial decay width.