Dipion invariant mass spectrum in $X(3872) \to J/ψππ$

Details Dipion invariant mass spectrum in $X(3872) \to J/ψππ$ Dipion invariant mass spectrum in $X(3872) \to J/ψππ$

2004-05-26

arxiv.org/abs/hep-ph/0405265v2

Phys.Rev.D71:034025,2005; Erratum-ibid.D71:099902,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

More careful treatment of $X\to J/\psi \rho \to J/\psi \pi \pi$ ; The case $J^{PC}(X) = 3^{--}$ is also included ; Version to

Scientific paper

10.1103/PhysRevD.71.034025

It is pointed out that dipion invariant mass spectrum in $X (3872) \to \pi \pi J/\psi$ is a useful probe for the $J^{PC}$ quantum number of the X(3872), complementary to the angular distributions. If X(3872) is a $^1 P_1$ state, the dipion has a peak at low $m_{\pi\pi}$ region, which is not in accord with the preliminary Belle data. If X(3872) is a $^3 D_2$ or $^3 D_3$ state, the dipion spectrum shows a peak at high $m_{\pi\pi}$ region, which is broader than the $\rho$ resonance that might come from the decay of a molecular state: $(D \bar{D^*}) (I=1) \to J/\psi \rho \to J/\psi \pi^+ \pi^-$. Better measurement of $m_{\pi\pi}$ spectrum will shed light on the nature of X(3872).

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