Derivation of the skyrme lagrangian

Ebrahim, A.; Savcı, Mustafa

doi:10.1016/0370-2693(86)91433-4

Cited by 5 publications

(1 citation statement)

References 9 publications

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“…This is, however, beyond the scope of the present paper. From a more phenomenologically point of view, the Skyrme term has been derived from an effective Lagrangian of vector mesons by integrating out the ρ meson [33]. The Skyrme action has also been derived as the low-energy effective action for the pions in the framework of the Sakai-Sugimoto model [34]; this model is however based on string theory and is not directly related to QCD.…”

Section: As Explained In the Figure Caption In Regionmentioning

confidence: 99%

Generalized Skyrme model with the loosely bound potential

Gudnason

Zhang

2016

Phys. Rev. D

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We study a generalization of the loosely bound Skyrme model which consists of the Skyrme model with a sixth-order derivative term -motivated by its fluid-like properties -and the secondorder loosely bound potential -motivated by lowering the classical binding energies of highercharged Skyrmions. We use the rational map approximation for the Skyrmion of topological charge B = 4, calculate the binding energy of the latter and estimate the systematic error in using this approximation. In the parameter space that we can explore within the rational map approximation, we find classical binding energies as low as 1.8% and once taking into account the contribution from spin-isospin quantization we obtain binding energies as low as 5.3%. We also calculate the contribution from the sixth-order derivative term to the electric charge density and axial coupling.

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Section: As Explained In the Figure Caption In Regionmentioning

confidence: 99%