Pion Interactions in the X(3872)

Details Pion Interactions in the X(3872) Pion Interactions in the X(3872)

2007-03-16

arxiv.org/abs/hep-ph/0703168v2

Phys.Rev.D76:034006,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 11 figures, revtex4, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.034006

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].

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