Is JPC=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 JPC=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 a cc meson and the JPC are likely to be 3-+.
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ZHU Wei, LIU Yan-Rui and YAO Tao. Is JPC=3-+ molecule possible?[J]. Chinese Physics C, 2015, 39(2): 023101. doi: 10.1088/1674-1137/39/2/023101
ZHU Wei, LIU Yan-Rui and YAO Tao. Is JPC=3-+ molecule possible?[J]. Chinese Physics C, 2015, 39(2): 023101.  doi: 10.1088/1674-1137/39/2/023101 shu
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Received: 2014-05-16
Revised: 1900-01-01
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Is JPC=3-+ molecule possible?

    Corresponding author: LIU Yan-Rui,
  • 1. School of Physics, Shandong University, Shandong 250100, China

Abstract: The confirmation of charged charmonium-like states indicates that heavy quark molecules should exist. Here we discuss the possibility of a molecule state with JPC=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 a cc meson and the JPC are likely to be 3-+.

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