Factorization in the Production and Decay of the X(3872)

Details Factorization in the Production and Decay of the X(3872) Factorization in the Production and Decay of the X(3872)

2005-06-08

arxiv.org/abs/hep-ph/0506087v2

Phys.Rev.D72:014012,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 8 figures, revtex4, typos corrected

Scientific paper

10.1103/PhysRevD.72.014012

The production and decay of the X(3872) are analyzed under the assumption that the X is a weakly-bound molecule of the charm mesons D^0 \bar D^{*0} and D^{*0} \bar D^0. The decays imply that the large D^0 \bar D^{*0} scattering length has an imaginary part. An effective field theory for particles with a large complex scattering length is used to derive factorization formulas for production rates and decay rates of X. If a partial width is calculated in a model with a particular value of the binding energy, the factorization formula can be used to extrapolate to other values of the binding energy and to take into account the width of the X. The factorization formulas relate the rates for production of X to those for production of D^0 \bar D^{*0} and D^{*0} \bar D^0 near threshold. They also imply that the line shape of X differs significantly from that of a Breit-Wigner resonance.

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