Isospin breaking in the yield of heavy meson pairs in e+e- annihilation near threshold

Abstract

We revisit the problem of interplay between the strong and the Coulomb interaction in the charged-to-neutral yield ratio for $B\bar{B}$ and $D\bar{D}$ pairs near their respective thresholds in $e^{+}{e}^{-}$ annihilation. We consider here a realistic situation with a resonant interaction in the isospin I=0 channel and a nonresonant strong scattering amplitude in the I=1 state. We find that the yield ratio has a smooth behavior depending on the scattering phase in the I=1 channel. The same approach is also applicable to the $K\bar{K}$ production at the $\varphi (1020)$ resonance, where the Coulomb effect in the charged-to-neutral yield ratio is generally sensitive to the scattering phases in both the isoscalar and the isovector channels. Furthermore, we apply the same approach to the treatment of the effect of the isotopic mass difference between the charged and neutral mesons and argue that the strong-scattering effects generally result in a modification to the pure kinematical effect of this mass difference.

arXiv comment16 pages, 2 figures

References in corpus (13)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Measurements of the parameters of the $\varphi (1020)$ resonance through studies of the processes $e^{+}{e}^{-}\to K^{+}{K}^{-}$, $K_S{K}_L$ and ${\pi }^{+}{\pi }^{-}{\pi }^0$
• Measurement of Absolute Hadronic Branching Fractions of D Mesons and e^+e^- --> D barD Cross Sections at E_cm = 3773 MeV
• Measurement of branching fractions for exclusive B decays to charmonium final states
• Measurement of the Relative Branching Fraction of ${\rm Y}(4S)$ to Charged and Neutral B-Meson Pairs
• Measurement of the B^+/B^0 Production Ratio from the Upsilon(4S) Meson using B^+ -> J/psi K^+ and B^0 -> J/psi K^{0}_{S} Decays
• Studies of B0-B0bar Mixing Properties with Inclusive Dilepton Events
• Variation of the relative yield of charged and neutral B mesons across the Upsilon(4S) resonance
• The ratio Phi->K+K-/K0K0bar
• Isospin violation in e+ e- --> B Bbar
• Measurement of the Ratio of Branching Fractions of the Upsilon(4S) to Charged and Neutral B Mesons
• Relative yield of charged and neutral heavy meson pairs in e^+ e^- annihilation near threshold

Cited by in corpus (14)

• Charmonium
• Unexpected features of e+e-->ppbar and e+e-->lambda-lambdabar cross sections near threshold
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• A Global Treatment Of VMD Physics Up To The $\varphi$: I. $e^{+}{e}^{-}$ Annihilations, Anomalies And Vector Meson Partial Widths
• No Sommerfeld resummation factor in e+e- -> ppbar ?
• Observation of $h_1(1380)$ in the $J/\psi \to {\eta }^{\prime }K\bar{K}\pi$ Decay
• Branching ratio measurements and isospin violation in B-meson decays
• Diresonance in production and scattering of heavy mesons
• Structure-dependent radiative corrections to phi -> K^+K^-/K_LK_S decays
• Charged-to-neutral heavy meson yield ratio at the Z_b^0 resonances as a probe of the I^G(J^P)=0^-(1^+) channel
• Measurement of the Mass Difference m(B0) - m(B+)
• Modification by pion exchange of near threshold resonance line shape in open heavy flavor channel
• Isospin violation in the yield of S-wave heavy meson pairs near threshold
• Charged-to-neutral meson yield ratio at $\psi (3770)$ and ${\rm Y}(4S)$ revisited