Interaction and Identification of the Doubly Heavy Di-Hadronic Molecules

TL;DR

This paper investigates the interaction mechanisms and identification criteria for hadronic molecules, proposing a combined potential model and using Weinberg's theorem to predict various di-hadronic molecular states involving heavy quarks.

Contribution

It introduces a novel binding mechanism combining One Boson Exchange and Yukawa potentials, and applies Weinberg's theorem for identifying hadronic molecules, predicting multiple new states with heavy quark constituents.

Findings

Predicts several di-hadronic molecular states involving heavy quarks.

Proposes a dipole-like interaction model for hadronic molecule formation.

Uses Weinberg's theorem to distinguish molecular states from elementary particles.

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, $pn$, $K\overline{K}$, $\rho \overline{\rho}$, $K^{*}\overline{K^{*}}$, $D\overline{D^{*}}$($\overline{D}D^{*}$), $D^{*}\overline{D^{*}}$, $B\overline{B^{*}}$, $B^{*}\overline{B^{*}}$, $D^{*\pm}\overline{D_{1}^{0}}$, $ D^{0}\overline{K^{\pm}}$, $D^{*0}\overline{K^{\pm}}$, with their possible quantum numbers.