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- W1984016844 abstract "We present a quenched lattice calculation of the weak nucleon form factors: vector [${F}_{V}({q}^{2})$], induced tensor [${F}_{T}({q}^{2})$], axial vector [${F}_{A}({q}^{2})$] and induced pseudoscalar [${F}_{P}({q}^{2})$] form factors. Our simulations are performed on three different lattice sizes ${L}^{3}ifmmodetimeselsetexttimesfi{}T={24}^{3}ifmmodetimeselsetexttimesfi{}32$, ${16}^{3}ifmmodetimeselsetexttimesfi{}32$, and ${12}^{3}ifmmodetimeselsetexttimesfi{}32$ with a lattice cutoff of ${a}^{ensuremath{-}1}ensuremath{approx}1.3text{ }text{ }mathrm{GeV}$ and light quark masses down to about $1/4$ the strange quark mass (${m}_{ensuremath{pi}}ensuremath{approx}390text{ }text{ }mathrm{MeV}$) using a combination of the DBW2 gauge action and domain wall fermions. The physical volume of our largest lattice is about $(3.6text{ }text{ }mathrm{fm}{)}^{3}$, where the finite volume effects on form factors become negligible and the lower momentum transfers (${q}^{2}ensuremath{approx}0.1text{ }text{ }{mathrm{GeV}}^{2}$) are accessible. The ${q}^{2}$ dependences of form factors in the low ${q}^{2}$ region are examined. It is found that the vector, induced tensor, and axial-vector form factors are well described by the dipole form, while the induced pseudoscalar form factor is consistent with pion-pole dominance. We obtain the ratio of axial to vector coupling ${g}_{A}/{g}_{V}={F}_{A}(0)/{F}_{V}(0)=1.219(38)$ and the pseudoscalar coupling ${g}_{P}={m}_{ensuremath{mu}}{F}_{P}(0.88{m}_{ensuremath{mu}}^{2})=8.15(54)$, where the errors are statistical errors only. These values agree with experimental values from neutron $ensuremath{beta}$ decay and muon capture on the proton. However, the root mean-squared radii of the vector, induced tensor, and axial vector underestimate the known experimental values by about 20%. We also calculate the pseudoscalar nucleon matrix element in order to verify the axial Ward-Takahashi identity in terms of the nucleon matrix elements, which may be called as the generalized Goldberger-Treiman relation." @default.
- W1984016844 created "2016-06-24" @default.
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- W1984016844 date "2008-07-25" @default.
- W1984016844 modified "2023-10-01" @default.
- W1984016844 title "Nucleon form factors from quenched lattice QCD with domain wall fermions" @default.
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- W1984016844 doi "https://doi.org/10.1103/physrevd.78.014510" @default.
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