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Testing the light scalar meson as a non-\( q\overline{q} \) state in semileptonic D decays

  • Yu-Kuo Hsiao,
  • Shu-Qi Yang,
  • Wen-Juan Wei,
  • Bai-Cian Ke

摘要

While the light scalar mesons (S0) are considered to be either ordinary q q ¯ \( q\overline{q} \) or exotic tetraquark states, we investigate the semileptonic decays DS0e+νe, by taking into account the resonant effects of S0M1M2, where S0 = a0(980), f0(980), and f0(500)/σ0, and M1(2) represents a pseudoscalar meson. For the first time, the DS0 form factors in the two quark structures are both presented. Subsequently, we calculate B \( \mathcal{B} \) ( D s + \( {D}_s^{+} \) σ0e+νe, σ0π+π) = (20.3 ± 1.8 ± 0.5) × 104 in the q q ¯ \( q\overline{q} \) structure, showing significant 9σ deviations from the experimental upper limit of 3.3 × 104. In contrast, B \( \mathcal{B} \) ( D s + \( {D}_s^{+} \) σ0e+νe, σ0π+π) = ( 0.58 0.57 + 1.43 \( {0.58}_{-0.57}^{+1.43} \) ± 0.01) × 104 in the q 2 q ¯ 2 \( {q}^2{\overline{q}}^2 \) structure is within the allowed experimental range. Clearly, the light scalar meson is tested as a non- q q ¯ \( q\overline{q} \) state. We hence demonstrate a highly sensitive new approach for exploring the true nature of scalar mesons, which can be extended to non-leptonic D decays as well as B meson decays.