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Nucleon electroweak form factors: Analysis of their spectral functions

✍ Scribed by V. Bernard; N. Kaiser; Ulf-G. Meißner

Book ID
104336112
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
789 KB
Volume
611
Category
Article
ISSN
0375-9474

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✦ Synopsis

We investigate the imaginary parts of the nucleon electromagnetic and axial form factors close to threshold in the framework of heavy baryon chiral perturbation theory. For the isovector electromagnetic form factors, we recover the well-known strong enhancement near threshold. For the isoscalar ones, we show that there is no visible enhancement due to the three-pion continuum. This justifies the use of vector meson poles only in dispersion-theoretical calculations. We also calculate the imaginary part of the nucleon isovector axial form factor and show that it is small in the threshold region.

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We analyze the electromagnetic form factors of the nucleon to fourth order in relativistic baryon chiral perturbation theory. We employ the recently proposed infrared regularization scheme and show that the convergence of the chiral expansion is improved as compared to the heavy-fermion approach. We