English

Dynamics of Hadronic Molecule in One-Boson Exchange Approach and Possible Heavy Flavor Molecules

High Energy Physics - Phenomenology 2009-04-13 v2

Abstract

We extend the one pion exchange model at quark level to include the short distance contributions coming from η\eta, σ\sigma, ρ\rho and ω\omega exchange. This formalism is applied to discuss the possible molecular states of DDˉ/DˉDD\bar{D}^{*}/\bar{D}D^{*}, BBˉ/BˉBB\bar{B}^{*}/\bar{B}B^{*}, DDDD^{*}, BBBB^{*}, the pseudoscalar-vector systems with C=B=1C=B=1 and C=B=1C=-B=1 respectively. The "δ\delta function" term contribution and the S-D mixing effects have been taken into account. We find the conclusions reached after including the heavier mesons exchange are qualitatively the same as those in the one pion exchange model. The previous suggestion that 1++1^{++} BBˉ/BˉBB\bar{B}^{*}/\bar{B}B^{*} molecule should exist, is confirmed in the one boson exchange model, whereas DDDD^{*} bound state should not exist. The DDˉ/DˉDD\bar{D}^{*}/\bar{D}D^{*} system can accomodate a 1++1^{++} molecule close to the threshold, the mixing between the molecule and the conventional charmonium has to be considered to identify this state with X(3872). For the BBBB^{*} system, the pseudoscalar-vector systems with C=B=1C=B=1 and C=B=1C=-B=1, near threshold molecular states may exist. These bound states should be rather narrow, isospin is violated and the I=0 component is dominant. Experimental search channels for these states are suggested.

Keywords

Cite

@article{arxiv.0901.0426,
  title  = {Dynamics of Hadronic Molecule in One-Boson Exchange Approach and Possible Heavy Flavor Molecules},
  author = {Gui-Jun Ding and Jia-Feng Liu and Mu-Lin Yan},
  journal= {arXiv preprint arXiv:0901.0426},
  year   = {2009}
}

Comments

21 pages, 11 figures, 8 tables