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arXiv · 0904.3368

omega-rho^0 mixing as a possible origin of the hypothetical isospin non-conservation in the X(3872) --> pi^+ pi^- J/psi decay

Kunihiko Terasaki
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Abstract

The ratio of branching fractions Br(X(3872) --> gamma J/psi)/ Br(X(3872) --> pi^+ pi^- J/psi) is studied by assuming that the X(3872) --> pi^+ pi^- J/psi decay proceeds through the rho^0 meson pole which is caused by the omega-rho^0 mixing. As the result, it is seen that the calculated ratio is compatible with the measured values of the ratio when X(3872) is an axial-vector tetra-quark state, while it would be much larger than the measurements when it is a charmonium. Therefore, the existing data on the ratio seem to favor the tetra-quark interpretation of X(3872) over the charmonium, although a small mixing of the charmonium is not excluded.

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Kunihiko Terasaki. 2009-10-06. omega-rho^0 mixing as a possible origin of the hypothetical isospin non-conservation in the X(3872) --> pi^+ pi^- J/psi decay. https://doi.org/10.1143/ptp.122.1285

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