Rotating and vibrating Skyrmions
The stability of rotating solitons is analyzed. It is found that both the linear σ-model and the chiral Skyrme Lagrangian (Skyrmion) yield unstable solutions with respect to pion emission. Introducing a symmetry breaking pion mass term stable solutions for the nucleon and the ▵(1232) are obtained in the Skyrme model. Furthermore with spherical symmetry, no parameter set is found which yields stable rotating solutions for both the nucleon and the delta, with correct masses. When parameters from earlier literature are used, the nucleon is stable but not the delta. To describe baryon excited states small amplitude fluctuations around the rotating solution are considered. The calculated P11 phase shift to the “breathing mode” excitation of the nucleon is compared to earlier results neglecting rotations and it is found that rotation-vibration coupling leads to sizable changes.
KeywordsSolitary Wave Lagrange Density Skyrme Model Fourth Order Term Chiral Angle
Unable to display preview. Download preview PDF.
- 3.E. Braaten, preprint 1985.Google Scholar
- 4.A. Jackson, A.D. Jackson and V. Pasquier, Nucl. Phys. A432 (1985) 567.Google Scholar
- 5.M. Kutschera, C. Pethick and G.C. Ravenhall, preprint 1985.Google Scholar
- 6.M. Gell-Mann and M. Levi, Nuov. Cim. 16 (1960) 705.Google Scholar
- 7.A. Bohr and B. Mottelson, Nuclear structure, Vol. II (Benjamin, Reading, MA, 1975).Google Scholar
- 8.C. Hajduk and B. Schwesinger, Phys. Lett. 145B (1984) 171.Google Scholar
- 9.T.H.R. Skyrme, Proc. Roy. Soc. A260 (1961) 127.Google Scholar
- 11.M. Bander and F. Hayot, Phys. Rev. D30 (1984) 1837.Google Scholar
- 12.E. Braaten and J.P. Ralston, Phys. Rev. D31 (1985) 598.Google Scholar
- 13.R. Rajaraman, H.M. Sommermann, J. Wambach and H.W. Wyld, submitted to Phys. Rev. Lett.Google Scholar
- 15.J. Wambach and H.W. Wyld, in preparation.Google Scholar
- 16.H. Walliser and G. Eckart, Nucl. Phys. A429 (1984) 514.Google Scholar