Pengnian Shen

Decay width of

The decay widths of four-body double-pion decays d* -> pn pi(0)pi(0), d* -> pn pi(+)pi(-), and isoscalar parts of d* -> pp pi(0)pi(-) and d* -> nn pi(+)pi(0) are explicitly calculated with the help of the d* wave function obtained in a chiral SU( 3) quark model calculation. The effect of the dynamical structure on d*s width is analyzed both in the single Delta Delta channel and the Delta Delta + CC coupled-channel approximations. It is found that in the latter case, the obtained partial decay widths of d* -> pn pi(0)pi(0), d* -> pn pi(+)pi(-), and those of d* to the isoscalar parts of pp pi(0)pi(-) and nn pi(+)pi(0) are about 9.6 MeV, 20.6 MeV, 3.5 MeV and 3.5 MeV, respectively. As a consequence, the total width is about 71.9 MeV. These widths are consistent with our previous estimation by using cross section data and observed width. Apparently, the resultant mass and width in the Delta Delta + CC coupled-channel calculation again support our assertion that the d* resonance is a six-quark dominated exotic state.

d^*(2380)\to NN \pi\pi

The decay widths of four-body double-pion decays d* -> pn pi(0)pi(0), d* -> pn pi(+)pi(-), and isoscalar parts of d* -> pp pi(0)pi(-) and d* -> nn pi(+)pi(0) are explicitly calculated with the help of the d* wave function obtained in a chiral SU( 3) quark model calculation. The effect of the dynamical structure on d*s width is analyzed both in the single Delta Delta channel and the Delta Delta + CC coupled-channel approximations. It is found that in the latter case, the obtained partial decay widths of d* -> pn pi(0)pi(0), d* -> pn pi(+)pi(-), and those of d* to the isoscalar parts of pp pi(0)pi(-) and nn pi(+)pi(0) are about 9.6 MeV, 20.6 MeV, 3.5 MeV and 3.5 MeV, respectively. As a consequence, the total width is about 71.9 MeV. These widths are consistent with our previous estimation by using cross section data and observed width. Apparently, the resultant mass and width in the Delta Delta + CC coupled-channel calculation again support our assertion that the d* resonance is a six-quark dominated exotic state.

processes

Abstract The width of three-body single-pion decay process d ⁎ → N N π 0 , ± 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 Δ Δ + C C 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 ⁎ → N N π is about several hundred keV, while in the single ΔΔ channel it is just about 2 ∼ 3 xa0MeV . 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.

Decay width ofd*(2380)→NNππprocesses

We calculate the charge distributions of

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

d^*(2380)

Charge distribution of d*(2380)

. Two different interpretations of the

Properties of single cluster structure of

d^*

d^*(2380)

are considered for a comparison. One is a compact explanation with coupled

in chiral SU(3) quark model

DeltaDelta+CC

On the Decays of d *(2380) in a Constituent Chiral Quark Model

two-channel approximation in the chiral constituent quark model. Another is a resonance state of