Isospin violating decay of $\psi (3770)\to J/\psi +{\pi }^0$

Abstract

The strong-isospin violation in $\psi (3770)\to J/\psi +{\pi }^0$ via intermediate $D$ meson loops is investigated in an effective Lagrangian approach. In this process, there is only one $D$-meson loop contributing to the absorptive part, and the uncertainties due to the introduction of form factors can be minimized. With the help of QCD spectral sum rules (QSSR), we extract the $J/\psi D{D}^{\ast }$ form factor as an implement from the first principle of QCD. The $D{D}^{\ast }{\pi }^0$ form factor can be well determined from the experimental data for $D\to \pi l\nu$. The exploration of the dispersion relation suggests the dominance of the dispersive part via the intermediate $D$ meson loops even below the open charm threshold. This investigation could provide further insights into the puzzling question on the mechanisms for $\psi (3770)\to$ non-$D\bar{D}$ transitions.

arXiv commentmore discussions and references are added, accepted by Physical Review D

References in corpus (31)

• Phenomenology of Heavy Meson Chiral Lagrangians
• Charmonium
• Quarkonia and their transitions
• Semileptonic decays of $D$ mesons in three-flavor lattice QCD
• First Measurement of Gamma(D*+) and Precision Measurement of m_D*+ - m_D0
• Nonfactorizable contributions in B decays to charmonium: the case of $B^{-}\to K^{-}{h}_c$
• Effect of charmed meson loops on charmonium transitions
• Improved measurements of D meson semileptonic decays to pi and K mesons
• Charmless Final States and S--D-wave mixing in the ${\psi }^{\prime \prime }$
• Measurement of Absolute Hadronic Branching Fractions of D Mesons and e^+ e^- --> D D-bar Cross Sections at the psi(3770)
• First Measurement of $\Gamma (D\ast +)$
• The Semileptonic Decays $D\to \pi (\rho )e\nu$ and $B\to \pi (\rho )e\nu$ from QCD Sum Rules
• Decay channels and charmonium mass-shifts
• Measurements of the cross sections for $e^{+}{e}^{-}\to \mathrm{hadrons}$ at 3.650, 3.6648, 3.773 GeV and the branching fraction for $\psi (3770)\to \mathrm{non}-D\bar{D}$
• Measurements of the braching fractions for psi(3770)--> D0D0-bar,D+D-,DD-bar$ and the resonance parameters of psi(3770) and psi(2S)
• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• Measurement of Absolute Hadronic Branching Fractions of D Mesons and e^+e^- --> D barD Cross Sections at E_cm = 3773 MeV
• Semileptonic charm decays $D\to \pi l{\nu }_{ł}$ and $D\to Kl{\nu }_l$ from QCD Light-Cone Sum Rules
• The $J/\psi DD$ Vertex in QCD Sum Rules
• Extraction of the light quark mass ratio from the decays psi' --> J/psi pi^0 (eta)
• The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution
• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• Measurement of sigma(e^+e^- --> psi(3770) --> hadrons) at E_{cm}=3773 MeV
• Psi'' decays to charmless final states
• Isospin symmetry breaking through pi^0 - eta -eta' mixing
• Visualization of semileptonic form factors from lattice QCD
• QCD prediction for the non-$D\bar{D}$ annihilation decay of $\psi (3770)$
• Open charm effects in the explanation of the long-standing "$\rho \pi$ puzzle"
• QCD Sum Rules Calculation of Heavy $\Lambda$ Semileptonic Decay
• The $\bar{c}c$ purity of $\psi (3770)$ and ${\psi }^{\prime }$ challenged
• Branching ratios of the decays of psi(3770) and Upsilon(10580) into light hadrons

Cited by in corpus (6)

• Hadronic molecules
• Further understanding of the non-$D\bar{D}$ decays of $\psi (3770)$
• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD
• Coupling constants of bottom (charmed) mesons with pion from three point QCD sum rules
• Precision measurements of branching fractions for ${\psi }^{\prime }\to {\pi }^{0}J\psi$ and $\eta J\psi$
• Measurements of charmonia decays from BESIII