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Pseudoscalar Meson Dominance and Nucleon Structure

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Abstract

Pseudoscalar meson dominance has implications for nucleon structure which follow from an Extended Partial Conservation of the Axial Current (EPCAC). The minimal resonance saturation of the nucleon pseudoscalar form factor of the lowest pseudoscalar and isovector mesons compatible with pQCD short distance constraints and chiral symmetry. Using PDG masses and widths we obtain \(g_{\pi NN} = 13.21(^{+0.11}_{-0.06})\), to be compared with the most precise determinations from np, pp scattering, \(g_{\pi ^+ np} = 13.25(5)\) from the Granada-2013 database. Equivalently a Goldberger–Treiman discrepancy \(\Delta _\textrm{GT} = 1.8^{+0.9}_{-0.4}\%\) is found. Our results are consistent with almost flat strong pion-nucleon-nucleon vertices.

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Notes

  1. This means, under the assumption of uncorrelated uncertainties the relation \((\delta \Delta _\textrm{GT})^2/\Delta _\textrm{GT}^2 = (\delta f_{\pi ^+})^2/ f_{\pi ^+}^2+ (\delta g_A)^2/ g_A^2+ (\delta M_N)^2/M_N^2+ (\delta g_{\pi ^+ p n})^2 /g_{\pi ^+ p n}^2 \).

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Authors and Affiliations

  1. Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, 18071, Granada, Spain

    E. Ruiz Arriola & P. Sánchez Puertas

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  1. E. Ruiz Arriola
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  2. P. Sánchez Puertas
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Correspondence to E. Ruiz Arriola.

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Supported by PID2020-114767GBI00 funded by MCIN/AEI/10.13039/501100011033, as well as Junta de Andalucía Grant FQM-225.

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Arriola, E.R., Puertas, P.S. Pseudoscalar Meson Dominance and Nucleon Structure. Few-Body Syst 64, 48 (2023). https://doi.org/10.1007/s00601-023-01830-z

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