Does X(3872) count?
P. Garcia Ortega* and E. Ruiz Arriola
Pre-published on:
February 19, 2018
Published on:
March 20, 2018
Abstract
The question on whether or not weakly bound states should be effectively incorporated in a hadronic representation of the QCD partition function is addressed by analyzing the example of the X(3872), a resonance close to the DˉD∗ threshold which has been suggested as an example of a loosely bound molecule. This can be decided by studying the DˉD∗ scattering phase-shifts in the JPC=1++ channel and their contribution to the level density in the continuum, which also gives information on its abundance in a hot medium. In this work, it is shown that, in a purely molecular picture, the bound state contribution cancels the continuum, resulting in a null occupation number density at finite temperature, which implies the X(3872) does not count below the Quark-Gluon Plasma crossover (T∼150MeV). However, if a non-zero cˉc component is present in the X(3872) wave function such cancellation does not occur for temperatures above T≳250MeV.
DOI: https://doi.org/10.22323/1.310.0236
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