ω-ρ^0 Mixing as a Possible Origin of the Hypothetical Isospin Non-Conservation in the X(3872)→π^+π^-J/ψ Decay

概要

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The ratio of branching fractions Br(X(3872)→γJ/ψ)/Br(X(3872)→π^+π^-J/ψ) is studied by assuming that the X(3872)→π^+π^-J/ψ decay proceeds through the p^0 meson pole which is caused by the ω-p^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.
理論物理学刊行会の論文
2009-11-25