Nucleon form factors in the canonically quantized Skyrme model

Details Nucleon form factors in the canonically quantized Skyrme model Nucleon form factors in the canonically quantized Skyrme model

2000-07-06

arxiv.org/abs/nucl-th/0007012v1

Phys.Scripta 64 (2001) 113-118

Physics

Nuclear Physics

Nuclear Theory

14pp including figures

Scientific paper

10.1238/Physica.Regular.064a0011

The explicit expressions for the electric, magnetic, axial and induced pseudoscalar form factors of the nucleons are derived in the {\it ab initio} quantized Skyrme model. The canonical quantization procedure ensures the existence of stable soliton solutions with good quantum numbers. The form factors are derived for representations of arbitrary dimension of the SU(2) group. After fixing the two parameters of the model, $f_\pi$ and $e$, by the empirical mass and electric mean square radius of the proton, the calculated electric and magnetic form factors are fairly close to the empirical ones, whereas the the axial and induced pseudoscalar form factors fall off too slowly with momentum transfer.

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