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

Abstract While the light scalar mesons (S 0) are considered to be either ordinary q q ¯ $$ q\overline{q} $$ or exotic tetraquark states, we investigate the semileptonic decays D → S 0 e + ν e , by taking into account the resonant effects of S 0 → M 1 M 2, where S 0 = a 0(980), f 0(980), and f 0(500)...

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Bibliographic Details
Main Authors: Yu-Kuo Hsiao, Shu-Qi Yang, Wen-Juan Wei, Bai-Cian Ke
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2024)226
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Summary:Abstract While the light scalar mesons (S 0) are considered to be either ordinary q q ¯ $$ q\overline{q} $$ or exotic tetraquark states, we investigate the semileptonic decays D → S 0 e + ν e , by taking into account the resonant effects of S 0 → M 1 M 2, where S 0 = a 0(980), f 0(980), and f 0(500)/σ 0, and M 1(2) represents a pseudoscalar meson. For the first time, the D → S 0 form factors in the two quark structures are both presented. Subsequently, we calculate B $$ \mathcal{B} $$ ( D s + $$ {D}_s^{+} $$ → σ 0 e + ν e , σ 0 → π + π − ) = (20.3 ± 1.8 ± 0.5) × 10 −4 in the q q ¯ $$ q\overline{q} $$ structure, showing significant 9σ deviations from the experimental upper limit of 3.3 × 10 −4. In contrast, B $$ \mathcal{B} $$ ( D s + $$ {D}_s^{+} $$ → σ 0 e + ν e , σ 0 → π + π − ) = ( 0.58 − 0.57 + 1.43 $$ {0.58}_{-0.57}^{+1.43} $$ ± 0.01) × 10 −4 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.
ISSN:1029-8479