Is J^PC=3^-＋ molecule possible

The confirmation of charged charmonium-like states indicates that heavy quark molecules should exist. Here we discuss the possibility of a molecule state with ^PC=3^-＋. In a one-boson-exchange model investigation for the S wave C=＋ D^＊D2^＊ states, one finds that the strongest attraction is in the ca...

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Published in中国物理C：英文版 no. 2; pp. 7 - 14
Main Author 朱伟 刘言锐 姚涛
Format Journal Article
LanguageEnglish
Published 2015
Subjects
分子状态
吸引力
数值分析
束缚态
玻色子
粲偶素
重夸克
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ISSN1674-1137
0254-3052

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Summary:The confirmation of charged charmonium-like states indicates that heavy quark molecules should exist. Here we discuss the possibility of a molecule state with ^PC=3^-＋. In a one-boson-exchange model investigation for the S wave C=＋ D^＊D2^＊ states, one finds that the strongest attraction is in the case J= 3 and I=0 for both π and σ exchanges. Numerical analysis indicates that this hadronic bound state might exist if a phenomenological cutoff parameter around 2.3 GeV （1.5 GeV） is reasonable with a dipole （monopole） type form factor in the one-pion- exchange model. The cutoff for binding solutions may be reduced to a smaller value once the σ exchange contribution is included. If a state around the D^＊D2^＊ threshold （≈4472 MeV） in the channel J/ψω （P wave） is observed, the heavy quark spin symmetry implies that it is not ace meson and the jPC are likely to be 3^-＋.
Bibliography:exotic state, molecule, heavy quark
11-5641/O4
ZHU Wei,LIU Yan-Rui,YAO Tao（School of Physics, Shandong University, Shandong 250100, China）
The confirmation of charged charmonium-like states indicates that heavy quark molecules should exist. Here we discuss the possibility of a molecule state with ^PC=3^-＋. In a one-boson-exchange model investigation for the S wave C=＋ D^＊D2^＊ states, one finds that the strongest attraction is in the case J= 3 and I=0 for both π and σ exchanges. Numerical analysis indicates that this hadronic bound state might exist if a phenomenological cutoff parameter around 2.3 GeV （1.5 GeV） is reasonable with a dipole （monopole） type form factor in the one-pion- exchange model. The cutoff for binding solutions may be reduced to a smaller value once the σ exchange contribution is included. If a state around the D^＊D2^＊ threshold （≈4472 MeV） in the channel J/ψω （P wave） is observed, the heavy quark spin symmetry implies that it is not ace meson and the jPC are likely to be 3^-＋.
ISSN:1674-1137
0254-3052