Using unitarity and dispersion relations, the paper extracts a nucleon D-term of -3.38 and a scalar trace density radius of 0.97 fm at the physical pion mass.
Sizes of the Nucleon
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abstract
Evidences are updated and strengthened for the two-scales picture of low-energy nucleon structure as a compact `hard' valence quark core surrounded by a `soft' cloud of quark-antiquark pairs (the meson cloud). These considerations are quantified by a spectral analysis of the mean-squared radii associated with the isoscalar and isovector electric form factors of the nucleon. Further supporting arguments come from corresponding studies of the axial and mass form factors and their inferred radii. Separating low-mass (mesonic) and high-mass (short-range) contributions in the spectral representations of each of these form factors, we conclude that a central core with an r.m.s. radius of about 1/2 fm results consistently as the common feature in all cases. Implications are discussed for baryonic matter at densities beyond that of equilibrium nuclear matter.
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Dispersive Determination of Nucleon Gravitational Form Factors
Using unitarity and dispersion relations, the paper extracts a nucleon D-term of -3.38 and a scalar trace density radius of 0.97 fm at the physical pion mass.