[Submitted on 16 Nov 2015] (cross-list from hep-th)
The Skyrme model in the BPS limit
C. Adam🇪🇸 · C. Naya🇪🇸 · J. Sanchez-Guillen🇪🇸 · R. Vazquez🇪🇸 · A. Wereszczynski🇵🇱
In this review, we summarise the main features of the BPS Skyrme model which provides a physically well-motivated idealisation of atomic nuclei and nuclear matter: 1) it leads to zero binding energies for classical solitons (while realistic binding energies emerge owing to the semiclassical corrections, the Coulomb interaction and isospin breaking); 2) it describes a perfect non-barotropic fluid already at the microscopic (field theoretical) level which allows to study thermodynamics beyond the mean-field limit. These properties allow for an approximate but analytical calculation of binding energies of the most abundant nuclei, for a determination of the equation of state of skyrmionic matter (both in the full field theory and in a mean-field approximation) as well as the description of neutron stars as Skyrme solitons with a very good agreement with available observational data. All these results suggest that the proper low energy effective model of QCD should be close to the BPS Skyrme model in a certain sense (a "near-BPS Skyrme model"), with a prominent role played by the BPS part.
- Comments:
- 40 pages, Latex, 10 figures. Contribution to: M. Rho, I. Zahed, Eds., The Multifaceted Skyrmion, 2nd Edition, World Scientific, Singapore
- Subjects:
- High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
- arXiv:
- 1511.05160 [pdf]