Pion Interactions in the X(3872)
High Energy Physics - Phenomenology
2008-11-26 v2 High Energy Physics - Experiment
Nuclear Theory
Abstract
We consider pion interactions in an effective field theory of the narrow resonance X(3872), assuming it is a weakly bound molecule of the charm mesons D^{0} \bar D^{*0} and D^{*0} \bar D^{0}. Since the hyperfine splitting of the D^{0} and D^{*0} is only 7 MeV greater than the neutral pion mass, pions can be produced near threshold and are non-relativistic. We show that pion exchange can be treated in perturbation theory and calculate the next-to-leading-order correction to the partial decay width \Gamma[X \to D^0 \bar D^{0} \pi^0].
Cite
@article{arxiv.hep-ph/0703168,
title = {Pion Interactions in the X(3872)},
author = {S. Fleming and M. Kusunoki and T. Mehen and U. van Kolck},
journal= {arXiv preprint arXiv:hep-ph/0703168},
year = {2008}
}
Comments
26 pages, 11 figures, revtex4, to appear in Phys. Rev. D