X(3872) revisited: the roles of OPEP and the quark degrees of freedom

Abstract

The $X(3872)$ is investigated by employing the quark-hadron hybrid model, that consists of the $c\bar{c}$ core, $D^{(\ast )}\bar{D}{}^{\ast }$, $J/\psi \omega$, and $J/\psi \rho$ two-meson states. Due to the attraction from the $c\bar{c}$-$D\bar{D}{}^{\ast }$ coupling and from the OPEP tensor coupling, a very thin peak can appear at the $D^0\bar{D}{}^{\ast 0}$ threshold. The energy of the corresponding pole of the scattering matrix is $E=(+0.06-0.14i)$ MeV, which is on the physical sheet and above the threshold, the same as the one of the poles from the LHCb data analysis.

Comments: 5 pages, 1 figure, the 8th Asia-Pacific conference on Few-Body problems in Physics (APFB2020); This version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00601-021-01663-8