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

Abstract

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: $(D\overline{D^{\ast }})(I=1)\to J/\psi \rho \to J/\psi {\pi }^{+}{\pi }^{-}$. Better measurement of $m_{\pi \pi }$ spectrum will shed light on the nature of X(3872).

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 appear in PRD

References in corpus (15)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• Short Range Structure in the X(3872)
• The D*0 D0bar threshold resonance
• Charmonium Options for the X(3872)
• Charmonium levels near threshold and the narrow state $X(3872) \to π^{+}π^{-}\jpsi$
• Low-energy Universality and the New Charmonium Resonance at 3870 MeV
• Interference and binding effects in decays of possible molecular component of X(3872)
• Molecular States of Heavy Quark Mesons
• On the hidden charm state at 3872 MeV
• Production of the X(3872) in B Meson Decay by the Coalescence of Charm Mesons
• Production of the X(3870) at the Upsilon(4S) by the Coalescence of Charm Mesons
• Angular distributions in $J/\psi (\rho ,\omega )$ states near threshold
• The upper limit of the e+e- partial width of X(3872)

Cited by in corpus (6)

• Bounds on the width, mass difference and other properties of X(3872) --> pi+pi-J/psi decays
• Measurement of the Dipion Mass Spectrum in X(3872) -> J/Psi Pi+ Pi- Decays
• Decays of the X(3872) into J/psi and Light Hadrons
• Factorization in the Production and Decay of the X(3872)
• Search for muoproduction of $X(3872)$ at COMPASS and indication of a new state $\tilde{X}(3872)$
• Inclusive Production of the X(3872)