The authors use the two-flavor NJL model to obtain medium-modified constituent quark masses and then compute the in-medium pion electromagnetic form factor, distribution amplitude, and parton distribution function via light-cone wave functions, with DGLAP evolution applied.
Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
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abstract
The H(e,e'pi+)n cross section was measured at four-momentum transfers of Q2=1.60 and 2.45 GeV2 at an invariant mass of the photon nucleon system of W=2.22 GeV. The charged pion form factor (F_pi) was extracted from the data by comparing the separated longitudinal pion electroproduction cross section to a Regge model prediction in which F_pi is a free parameter. The results indicate that the pion form factor deviates from the charge-radius constrained monopole form at these values of Q2 by one sigma, but is still far from its perturbative Quantum Chromo-Dynamics prediction.
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Pion unpolarized quark GPDs at zero skewness are extracted from a data-driven fit to the electromagnetic form factor and PDFs using a parameterized form factor embedded in a PDF-plus-profile GPD framework.
Calculates off-shell pion electromagnetic form factors in Bethe-Salpeter formalism with separable kernel, verifies Ward-Takahashi identity, and compares cross section to data.
The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.
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Pion off-shell form factors
Calculates off-shell pion electromagnetic form factors in Bethe-Salpeter formalism with separable kernel, verifies Ward-Takahashi identity, and compares cross section to data.