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<p>We investigate the high-energy fixed-angle scattering of pions and <i>ρ</i>-mesons in a bottom-up holographic QCD model. To this end, we generalise the approach of Polchinski and Strassler [1] to write an ansatz for meson scattering amplitudes based on superstring scattering amplitudes in asymptotically AdS space. We demonstrate that our generalisation of the Polchinski-Strassler proposal is necessary to describe <i>ρ</i>-meson scattering consistently with the Nambu-Goldstone boson equivalence theorem. Our results for pion and <i>ρ</i>-meson scattering amplitudes are in agreement with the constituent counting rule found in QCD. Moreover, our proposal for 2-to-2 scattering amplitudes provides a method for computing scattering angle dependence.</p>

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High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCD

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月27日

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  • Adi Armoni,
  • Bartosz Pyszkowski,
  • Shigeki Sugimoto,
  • Dorin Weissman

摘要

We investigate the high-energy fixed-angle scattering of pions and ρ-mesons in a bottom-up holographic QCD model. To this end, we generalise the approach of Polchinski and Strassler [1] to write an ansatz for meson scattering amplitudes based on superstring scattering amplitudes in asymptotically AdS space. We demonstrate that our generalisation of the Polchinski-Strassler proposal is necessary to describe ρ-meson scattering consistently with the Nambu-Goldstone boson equivalence theorem. Our results for pion and ρ-meson scattering amplitudes are in agreement with the constituent counting rule found in QCD. Moreover, our proposal for 2-to-2 scattering amplitudes provides a method for computing scattering angle dependence.