この論文をさがす
説明
The nonlinear {sigma} model Lagrangian for a rotating and vibrating quantum soliton expressed in terms of collective coordinates is shown to possess a symmetry under scale transformation of the chiral field. By utilizing this symmetry, an integro-differential equation determining the chiral angle is obtained. A consistency condition between this equation and the Schroedinger equation for the quantum soliton is discussed, and a relation between the total soliton energy and that related to rotation and vibration is obtained without solving the Schroedinger equation. In the limiting case of only a vibrating or a rotating soliton, the integro-differential equation is reduced to a differential one, and the chiral angle becomes independent of eigensolutions of the relevant Schroedinger equation. The effects of chiral-symmetry breaking due to the pion mass are also examined.
収録刊行物
-
- Physical Review D
-
Physical Review D 44 3249-3253, 1991-11-15
American Physical Society (APS)
