$πNN$ and Pseudoscalar Form Factors from Lattice QCD

Details $πNN$ and Pseudoscalar Form Factors from Lattice QCD $πNN$ and Pseudoscalar Form Factors from Lattice QCD

1994-06-10

arxiv.org/abs/hep-lat/9406007v1

Phys.Rev.Lett.74:2172-2175,1995

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages of text plus 4 postscript figures (128 kbytes)

Scientific paper

10.1103/PhysRevLett.74.2172

The $\pi NN$ form factor $g_{\pi NN}(q^2)$ is obtained from a quenched lattice QCD calculation of the pseudoscalar form factor $g_P(q^2)$ of the proton with pion pole dominance. We find that $g_{\pi NN}(q^2)$ fitted with the monopole form agrees well with the Goldberger-Treiman relation and is much preferred over the dipole form. The monopole mass is determined to be $0.75 \pm 0.14 {\rm GeV}$ which shows that $g_{\pi NN}(q^2)$ is rather soft. The extrapolated $\pi N$ coupling constant $g_{\pi NN} = 12.7 \pm 2.4$ is quite consistent with the phenomenological values. We also compare $g_{\pi NN}(q^2)$ with the axial form factor $g_A(q^2)$ to check the pion dominance in the induced pseudoscalar form factor $h_A(q^2)$ vis \`{a} vis chiral Ward identity.

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