Interaction and Identification of the Doubly Heavy Di-Hadronic Molecules

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 $\bar{s}$, $\bar{c}$, $\bar{b}$) as a constituents, namely, $pn$, $K\bar{K}$, $\rho \overline{\rho}$,$K^{}\overline{K^{}}$,$D\overline{D^{}}$($\overline{D}D^{}$),$D^{}\overline{D^{}}$,$B\overline{B^{}}$,$B^{}\overline{B^{}}$,$D^{\pm}\overline{D_{1}^{0}}$,$ D^{0}\overline{K^{\pm}}$,$D^{*0}\overline{K^{\pm}}$, with their possible quantum numbers.