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<p><InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(BB\)</EquationSource> <!--JETPLet2561023Panchenko-m5--> </InlineEquation> pairs from <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\Upsilon (4S) \to BB\)</EquationSource> <!--JETPLet2561023Panchenko-m6--> </InlineEquation> decays are in <i>C</i>-odd state. However, there is a small admixture of the <i>C</i>-even state and it modifies the time dependent <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(CP\)</EquationSource> <!--JETPLet2561023Panchenko-m7--> </InlineEquation>-asymmetry. The <i>C</i>-even component appears due to soft photon emission, breaking the pure <i>C</i>-odd nature of the initial state. Using the two-particle wave function formalism, we derive analytical expressions for <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(CP\)</EquationSource> <!--JETPLet2561023Panchenko-m8--> </InlineEquation>-asymmetry in both pure and mixed <i>C</i>-parity states. We emphasize the strong energy dependence of the admixture magnitude.</p>

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Correction to CP-Asymmetry in \(\Upsilon {\text{(}}4S{\text{)}}\) Decays Due to the Admixture of \({{B}^{0}}{{\bar {B}}^{0}}\) in a C-Even State

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月14日

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  • N. A. Panchenko,
  • S. I. Godunov

摘要

\(BB\) pairs from \(\Upsilon (4S) \to BB\) decays are in C-odd state. However, there is a small admixture of the C-even state and it modifies the time dependent \(CP\) -asymmetry. The C-even component appears due to soft photon emission, breaking the pure C-odd nature of the initial state. Using the two-particle wave function formalism, we derive analytical expressions for \(CP\) -asymmetry in both pure and mixed C-parity states. We emphasize the strong energy dependence of the admixture magnitude.