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Comparing relativistic and nonrelativistic quark pair creation models

Xiu-Li Gao, Yu-Hui Zhou, Bin Wu, and Zhi-Yong Zhou*

  • *Contact author: zhouzhy@seu.edu.cn
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Phys. Rev. D 114, 074053 – Published 26 October, 2026

DOI: https://doi.org/10.1103/g1gk-mktl

Abstract

We investigate the strong decay properties of light unflavored and strange mesons within a relativistic quark-pair-creation (QPC) framework and compare the results with those obtained in the conventional nonrelativistic QPC model. Our analysis shows that, within the present theoretical and experimental uncertainties, the relativistic QPC model yields predictions for strong decay widths of comparable overall quality to those of the nonrelativistic QPC model. This indicates that the nonrelativistic QPC approach remains adequate for estimating decay widths in most practical applications. Nevertheless, owing to the inclusion of Lorentz boosts and Wigner rotations, the relativistic QPC model exhibits a stronger suppression of the energy-dependent decay amplitudes in the high-energy region. This feature reflects the off-shell behavior of the QPC vertex, rather than the on-shell partial decay widths. It may become relevant in unquenched quark-model studies, where the energy-dependent QPC vertex enters meson-loop self-energy corrections and mass shifts through integrations over a broad energy region.

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Phys. Rev. D 114, 074053– Published 26 October, 2026
  • Received 24 April 2026
  • Accepted 25 September 2026
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