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arXiv · 1404.0947

Theoretical study of a $d^{*}$ resonance in $^{3}G_{3}$ partial wave of nucleon-nucleon scattering

Hongxia Huang·Jialun Ping·Fan Wang
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Abstract

Inspired by the recent results of the WASA-at-COSY Collaboration, in which they found a resonance pole in the coupled $^{3}D_{3}$ - $^{3}G_{3}$ partial waves as expected from the $d^{*}$ resonance hypothesis, we calculated the resonance structure in the coupled $^{3}D_{3}$ - $^{3}G_{3}$ partial wave phase shifts of nucleon-nucleon scattering in the framework of two constituent quark models: the quark delocalization color screening model and the chiral quark model. Our results show that there is a resonance $^{7}S_{3}^{ΔΔ}$ in the coupled $^{3}D_{3}^{NN}$ and $^{3}G_{3}^{NN}$ partial waves in both of these two models, which is in accordance with the expectation from the $d^{*}$ resonance structure. The resonance shape in the $^{3}D_{3}^{NN}$ partial wave is remarkable, whereas in the $^{3}G_{3}^{NN}$ phase shifts there is a small rise around the resonance energy. This result is in agreement with the recent experimental observations of WASA-at-COSY Collaboration.

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Hongxia Huang, Jialun Ping, Fan Wang. 2014-12-22. Theoretical study of a $d^{*}$ resonance in $^{3}G_{3}$ partial wave of nucleon-nucleon scattering. https://doi.org/10.1103/physrevc.90.064003

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