X(3872) as a hadronic molecule and its decays to charmonium states and pions

TL;DR

This paper models the X(3872) as a hadronic molecule, constrains its couplings, and calculates its decay widths to charmonium and pions, providing predictions for experimental verification.

Contribution

It introduces a molecular interpretation of X(3872), constrains its couplings using the compositeness condition, and computes decay widths to various charmonium and pion states.

Findings

Decay widths to J/psi + pions are calculated.

The molecular model explains the decay pattern of X(3872).

Results can guide experimental searches and analysis.

Abstract

The X(3872) with quantum numbers J(PC) = 1(++) is considered as a composite hadronic state comprised of the dominant molecular D(0) D*(0) component and other hadronic pairs - D(+-) D*(-+), Jpsi omega and Jpsi rho. Applying the compositeness condition we constrain the couplings of the X(3872) to its constituents. We calculate two- and three-body hadronic decays of the X(3872) to charmonium states chi(cJ) and pions using a phenomenological Lagrangian approach. Next using the estimated X-Jpsi-omega and and X-Jpsi-rho couplings we calculate the widths of X(3872) to Jpsi + h, where h = pi(+) pi(-), pi(+) pi(-) pi(0), pi(0) gamma and gamma. The obtained results for the decay pattern of the X(3872) in a molecular interpretation could be useful for running and planned experiments.