Abstract
Abstract The pseudo-scalar form factor, which represents the pseudo-scalar quark density distribution due to finite quark masses on the nucleon, is shown to manifest itself with the induced pseudo-scalar form factor in the L 0 + amplitude for the charged pion electro-production. Both form factors show their own peculiar momentum dependence. Under the approximation on which the Goldberger–Treiman relation holds, a sum of both form factors' contributions accounts for the t-channel contribution in the charged pion electro-production near threshold.
Highlights
The σπN is defined by contracting the isospin and takingDefined here we keep them because it appears explicitly at the transition amplitude. Hereafter we drop the subindex γ∗N
The pseudo scalar form factor, which represents the pseudo scalar quark density distribution due to finite quark masses on the nucleon, is shown to manifest itself with the induced pseudo scalar form factor in the L+0 amplitude for the charged pion electro-production
An explicit chiral symmetry breaking (ECSB) effects originated from quark masses can be realized as the scalar form factor of the nucleon σ(t) in the following way
Summary
Defined here we keep them because it appears explicitly at the transition amplitude. Hereafter we drop the subindex γ∗N. Where we consider only the pole contribution i.e. omit the contact term in the ǫνCaν part for further discussion, but it will be taken into account in the calculation of the amplitudes. Both form factors have the pion pole dominance, their dependence on momentum transfer t is different and independent of each other if we recollect the following relation among the form factors, 2MN GA(t). Detailed forms for each form factor are taken from ref.[5, 6]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
