Interaction and Identification of the Doubly Heavy Di-Hadronic Molecules

Abstract

We study the interesting problem of interaction and identification of the hadronic molecules which seem to be deuteron-like structure. In particular, we propose a binding mechanism in which One Boson Exchange Potential plus Yukawa screen-like potential is applied in their relative s-wave state. We propose the dipole-like interaction between two color neutral states to form a hadronic molecule. For the identification of the hadronic molecules, the Weinberg's compositeness theorem is used to distinguish the molecule from confined (elementary) state. The present formalism predict some di-hadronic molecular states, involving quarks (s, c, b or $\overline{s}$, $\overline{c}$, $\overline{b}$) as a constituents, namely, $pn$, $K\overline{K}$, $\rho \overline{\rho }$, $K^{\ast }\overline{K^{\ast }}$, $D\overline{D^{\ast }}$($\overline{D}{D}^{\ast }$), $D^{\ast }\overline{D^{\ast }}$, $B\overline{B^{\ast }}$, $B^{\ast }\overline{B^{\ast }}$, $D^{\ast \pm }\overline{D_1^0}$, $D^0\overline{K^{\pm }}$, $D^{\ast 0}\overline{K^{\pm }}$, with their possible quantum numbers.

Comments: 10 pages