Nucleon form factors in the canonically quantized Skyrme model

Abstract

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.

14pp including figures

References in corpus (5)

• The Charge Form Factor of the Neutron from the Reaction \pol{2H}(\pol{e},e'n)p
• Large-N_c Baryons
• Symmetry conserving approach to the quantization of the non-topological SU(3) soliton
• Spontaneous Generation of Pseudoscalar Mass in the U(3)xU(3) Linear Sigma Model
• Stability and Representation Dependence of the Quantum Skyrmion

Cited by in corpus (5)

• Comparison of Form Factors Calculated with Different Expressions for the Boost Transformation
• Structures of Rotating Traditional Neutron Stars and Hyperon Stars in the Relativistic $\sigma -\omega$ Model
• Form factors in the "point form" of relativistic quantum mechanics: single and two-particle currents
• On quantization of the SU(2) Skyrmions
• On the electromagnetic form factors of the proton from generalized Skyrme models