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Pion electroproduction at threshold and PCAC

S. Scherer
(
- NIKHEF, Amsterdam and
- Amsterdam U.
)
,
J.H. Koch
(
- NIKHEF, Amsterdam and
- Amsterdam U.
)

1991

17 pages

Published in:

Nucl.Phys.A 534 (1991) 461-477

Published: 1991

DOI:

10.1016/0375-9474(91)90456-G

reference search62 citations

Citations per year

Abstract: (Elsevier)

Threshold pion electroproduction is calculated in a model-independent way based on electromagnetic current conservation, PCAC, and crossing symmetry. The threshold s-wave multipoles E 0+ and L 0+ are expanded in terms of two dimensionless parameters, the pion-nucleon mass ratio μ = m π M , and ν 2 = k 2 M 2 , where k is the four-momentum of the virtual photon. Model-dependent terms appear in order μν 2 and μ 2 for the charged production amplitudes and in order μν 2 and μ 3 in the neutral production amplitudes. We comment on recipes to restore gauge invariance for the pseudovector electroproduction Born terms and their relationship with low-energy theorems. Finally, we discuss the possibility of determining the nucleon axial radius using threshold pion electroproduction.

electron nucleon: inelastic scattering
inelastic scattering: electron nucleon
pi: electroproduction
electroproduction: pi
PCAC model
symmetry: crossing
current: electromagnetic
kinematics
differential cross section
partial wave: threshold

References(40)

Figures(0)

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