Theoretical study of the $d^*(2380) \to d \pi \pi$ decay width - INSPIRE

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Theoretical study of the $d^*(2380) \to d \pi \pi$ decay width

Yubing Dong
(
- Beijing, Inst. High Energy Phys. and
- TPCSF, Beijing
)
,
Pengnian Shen
(
)
,
Fei Huang
(
- Beijing, GUCAS
)
,
Zongye Zhang
(
- Beijing, Inst. High Energy Phys. and
- TPCSF, Beijing
)

Mar 9, 2015

6 pages

Published in:

Phys.Rev.C 91 (2015) 6, 064002

Published: Jun 29, 2015

e-Print:

1503.02456 [nucl-th]

DOI:

10.1103/PhysRevC.91.064002

View in:

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Abstract: (APS)

The decay widths of the d*→dπ0π0 and d*→dπ+π− processes are explicitly calculated in terms of our chiral quark model. By using the experimental ratios of cross sections between various decay channels, the partial widths of the d*→pnπ0π0,d*→pnπ+π−,d*→ppπ0π−, and d*→nnπ+π0 channels are also extracted. Further including the estimated partial width for the d*→pn process, the total width of the d* resonance is obtained. In the first step of the practical calculation, the effect of the dynamical structure on the width of d* is studied in the single ΔΔ channel approximation. It is found that the width is reduced by a few tens of MeV, in comparison with the one obtained by considering the effect of the kinematics only. This presents the importance of such an effect from the dynamical structure. However, the obtained width with the single ΔΔ channel wave function is still too large to explain the data. It implies that the d* resonance will not consist of the ΔΔ structure only, and instead there should be enough room for other structures such as the hidden-color (CC) component. Thus, in the second step, the width of d* is further evaluated by using a wave function obtained in the coupled ΔΔ and CC channel calculation in the framework of the resonating group method (RGM). It is shown that the resultant total width for d* is about 69 MeV, which is compatible with the experimental observation of about 75 MeV and justifies our assertion that the d* resonance is a hexaquark-dominated exotic state.

Note:

6 pages, 2 figures, refs. modified

13.25.Gv
13.30.Eg
14.20.Pt
36.10.Gv
14.40.Rt
decay
width
kinematics: effect
cross section: ratio
quark model: chiral

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