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Pion Interactions in the X(3872)

S. Fleming·M. Kusunoki·T. Mehen·U. van Kolck
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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 Γ[X \to D^0 \bar D^{0} π^0].

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S. Fleming, M. Kusunoki, T. Mehen, U. van Kolck. 2007-06-05. Pion Interactions in the X(3872). https://doi.org/10.1103/physrevd.76.034006

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