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On the Semiclassical Quantization of the Chiral Soliton
Author(s) -
Reinhardt H.
Publication year - 1988
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19885000508
Subject(s) - semiclassical physics , quantization (signal processing) , physics , soliton , skyrmion , excitation , nucleon , quantum chromodynamics , quantum electrodynamics , action (physics) , quantum mechanics , classical mechanics , mathematical physics , quantum , particle physics , nonlinear system , mathematics , algorithm
The soliton of the effective chiral action of QCD is quantized in a semiclassical fashion using the “cranking approach” developed for the description of rotating nuclei. It is shown that for the Skyrmion model this approach is equivalent to the semiclassical quantization proposed by Adkins et al. Contrasting the assumptions of the cranking approach to the experimental excitation spectrum of the nucleon leads to the conclusion that the semiclassical quantization is inapplicable to the chiral soliton if the latter is to describe the physical nucleon.