Decay width of the d ⁎ (2380)→ NNπ process in a chiral constituent quark model
Yubing Dong (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China, School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 101408, China, Theoretical Physics Center for Science Facilities (TPCSF), CAS, Beijing, 100049, China)
; Fei Huang (School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 101408, China)
; Pengnian Shen (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China, College of Physics and Technology, Guangxi Normal University, Guilin, 541004, China, Theoretical Physics Center for Science Facilities (TPCSF), CAS, Beijing, 100049, China); Zongye Zhang (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China, School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 101408, China, Theoretical Physics Center for Science Facilities (TPCSF), CAS, Beijing, 100049, China)
The width of three-body single-pion decay process dââNNÏ0,± is calculated by using the dâ wave function obtained from our chiral SU(3) constituent quark model calculation. The effect of the dynamical structure on the width of dâ is taken into account in both the single ÎÎ channel and coupled ÎÎ+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 dââNNÏ is about several hundred keV, while in the single ÎÎ channel it is just about 2â¼3 MeV . We, therefore, conclude that the partial width in the single-pion decay process of dâ is much smaller than the widths in its double-pion decay processes. Our prediction may provide a criterion for judging different interpretations of the dâ structure, as different pictures for the dâ may result quite different partial decay width.