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.

more discussions and references are added, accepted by Physical Review D

References in corpus (11)

• Charmonium
• Quarkonia and their transitions
• Effect of charmed meson loops on charmonium transitions
• 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
• 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 $\psi (3770)$
• Visualization of semileptonic form factors from lattice QCD
• QCD prediction for the non-$D\bar{D}$ annihilation decay of $\psi (3770)$

Cited by in corpus (2)

• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD
• Measurements of charmonia decays from BESIII