Mixing of partial waves near $B^{\ast }{\bar{B}}^{\ast }$ threshold in $e^{+}{e}^{-}$ annihilation

Abstract

We consider the production of $B^{\ast }{\bar{B}}^{\ast }$ meson pairs in $e^{+}{e}^{-}$ annihilation near the threshold. The rescattering due to pion exchange between the mesons results in a mixing between three partial wave amplitudes: two $P$-wave with the total spin of the meson pair S=0 and S=2 and an F-wave amplitude. The mixing due to pion exchange with a low momentum transfer is calculable up to c.m. energy $E\approx 15÷20$\,MeV above the threshold. We find that the $P-F$ mixing is numerically quite small in this energy range, while the mixing of the two P-wave amplitudes is rapidly changing with energy and can reach of order one at such low energies.

8 pages, 3 figures

References in corpus (4)

• Heavy Quark Symmetry Predictions for Weakly Bound B-Meson Molecules
• Heavy quark spin symmetry breaking in near-threshold $J^{PC}=1^{--}$ quarkonium-like resonances
• Enhanced mixing of partial waves near threshold for heavy meson pairs and properties of $Z_b(10610)$ and $Z_b(10650)$ resonances
• Possible new resonance at the $D^{\ast }{\bar{D}}^{\ast }$ threshold in $e^{+}{e}^{-}$ annihilation

Cited by in corpus (4)

• Suppression of the S-wave production of (3/2)^+ + (1/2)^- heavy meson pairs in e^+e^- annihilation
• Hunting for the $X_b$ via hidden bottomonium decays
• Modification by pion exchange of near threshold resonance line shape in open heavy flavor channel
• Partial waves in $B_s^{\ast }{\bar{B}}_s^{\ast }$ production in $e^{+}{e}^{-}$ annihilation near threshold