Reviving the energy-dependent partonic structure of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi>f</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo stretchy="false">(</mml:mo> <mml:mn>980</mml:mn> <mml:
We present a novel framework for analyzing four-body semileptonic weak decays, performing the first high-twist analysis of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msub> <a:mi>D</a:mi> <a:mi>s</a:mi> </a:msub> <a:mo stretchy="false">→</a:mo> <a:msub> <a:mrow> <a:mo stretchy="false">[</a:mo> <a:mi>π</a:mi> <a:mi>π</a:mi> <a:mo stretchy="false">]</a:mo> </a:mrow> <a:mi mathvariant="normal">S</a:mi> </a:msub> </a:math> form factors using light cone distribution amplitudes for the isoscalar two-pion state ( <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mrow> <g:mn>2</g:mn> <g:mi>π</g:mi> <g:mi>DAs</g:mi> </g:mrow> </g:math> ). It is motivated by persistent tensions between phenomenological cascade analyses and QCD-based interpretations of the partonic structure of the <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:msub> <i:mi>f</i:mi> <i:mn>0</i:mn> </i:msub> </i:math> meson. Our study reveals that the twist-three <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:mn>2</k:mn> <k:mi>π</k:mi> </k:math> DAs incorporate an asymmetry in the partial-wave expansion, a feature absent in single <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:msub> <m:mi>f</m:mi> <m:mn>0</m:mn> </m:msub> </m:math> distribution amplitudes, that drives a substantial cancellation between twist-two and twist-three contributions to the form factors. As a result, the predicted decay rate falls significantly below the experimental value. These findings indicate that the isoscalar two-pion system near the charm scale is not primarily a <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"> <o:mi>q</o:mi> <o:mover accent="true"> <o:mi>q</o:mi> <o:mo stretchy="false">¯</o:mo> </o:mover> </o:math> state, reviving the energy-dependent partonic structures of light scalar mesons by highlighting a fundamental limitation of the single-meson light cone distribution amplitude approach in describing such complex systems.
Authors
- Jian-Ming Shen (ORCID: https://orcid.org/0000-0002-6904-5093)
- Ling-Yun Dai (ORCID: https://orcid.org/0000-0002-5473-323X)
- Anonymous
- Shu-lei Zhang
Institutions
- Hunan University (CN)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2026-02-02
- DOI
- https://doi.org/10.1103/5vty-jdbh
- Citations
- 1
- Primary Topic
- Quantum Chromodynamics and Particle Interactions
- Type
- article
- Field-Weighted Citation Impact
- 27.96