Abstract
Stability of the chiral soliton with the Skyrme term that is quantized by taking account of breathing modes in addition to the spin-isospin rotation is examined on the basis of a family of trial functions for the profile function of the hedgehog ansatz. It is shown that when the effects of the Skyrme term are sufficiently strong (small Skyrme term constant ), the eigenstates of lower spin-isospin are stable, having finite contributions both from the rotational and breathing modes. On the other hand when the effects of the Skyrme term are weak (), the spin-isospin rotational and the breathing modes are completely frozen and all states tend to infinitely degenerate states labeled by the constant SU(2) matrices.
- Received 1 April 1991
DOI:https://doi.org/10.1103/PhysRevD.44.1578
©1991 American Physical Society