Coulomb effects in the decays ${\rm Y}(4S)\to B\bar{B}$

Abstract

A simple exactly solvable model is proposed for describing the decays ${\rm Y}(4S)\to B^0{\bar{B}}^0$ and ${\rm Y}(4S)\to B^{+}{B}^{-}$. Our predictions agree with available experimental data. Using this model, we analyze the Coulomb effects in the spectra of these decays. It is shown that the frequently used assumption of factorization of Coulomb effects is not fulfilled. The Coulomb interaction leads to the difference in the positions and heights of the peaks corresponding to the charged and neutral modes. As a result, the ratio of probability of ${\rm Y}(4S)\to B^{+}{B}^{-}$ decay and ${\rm Y}(4S)\to B^0{\bar{B}}^0$ decay is a nontrivial function of energy.

arXiv comment5 pages, 4 figures

References in corpus (16)

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Cited by in corpus (8)

• $N\bar{N}$ production in $e^{+}{e}^{-}$ annihilation near the threshold revisited
• Final-state interaction in the process $e^{+}{e}^{-}\to {\Lambda }_c{\bar{\Lambda }}_c$
• Natural explanation of recent results on $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }$
• Invariant-mass spectrum of $\Lambda \bar{\Lambda }$ pair in the process $e^{+}{e}^{-}\to \varphi \Lambda \bar{\Lambda }$
• Coupled channels and production of near-threshold $B^{(\ast )}{\bar{B}}^{(\ast )}$ resonances in $e^{+}{e}^{-}$ annihilation
• Near-threshold resonance in $e^{+}{e}^{-}\to {\Lambda }_c{\bar{\Lambda }}_c$ process
• Effects of isospin violation in the $e^{+}{e}^{-}\to B^{(\ast )}{\bar{B}}^{(\ast )}$ cross sections
• Charge asymmetry in $e^{+}{e}^{-}\to B^{(\ast )}{\bar{B}}^{(\ast )}$ processes in the vicinity of ${\rm Y}(4S)$