Heavy Quark Spin Symmetry and SU(3)-Flavour Partners of the X(3872)

TL;DR

This paper uses an Effective Field Theory incorporating heavy quark spin and SU(3) flavour symmetry to predict and analyze charmed meson-antimeson molecular states, including the X(3872), X(3915), and Y(4140).

Contribution

It introduces a novel EFT approach at lowest order that constrains interactions and predicts a spectrum of molecular states based on experimental data.

Findings

Determines four Low Energy Constants for the EFT.

Predicts the full spectrum of molecular states with different isospins.

Provides a framework linking observed resonances to molecular states.

Abstract

In this work, an Effective Field Theory (EFT) incorporating light SU(3)-flavour and heavy quark spin symmetry is used to describe charmed meson-antimeson bound states. At Lowest Order (LO), this means that only contact range interactions among the heavy meson and antimeson fields are involved. Besides, the isospin violating decays of the X(3872) will be used to constrain the interaction between the $D$ and a $\bar{D}^*$ mesons in the isovector channel. Finally, assuming that the X(3915) and Y(4140) resonances are $D^*\bar{D}^*$ and $D_s^*\bar{D}_s^*$ molecular states, we can determine the four Low Energy Constants (LECs) of the EFT that appear at LO and, therefore, the full spectrum of molecular states with isospin I=0, 1/2 and 1.