Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-01-18
Phys.Lett.B651:39-43,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
Reference added. Some change of emphasis in the discussion of the role of power counting. 5 pages
Scientific paper
10.1016/j.physletb.2007.05.032
The standard collective quantization treatment of the strangeness content of the nucleon in chiral soliton models such as the Skyrmion is shown to be inconsistent with the semi-classical expansion on which the treatment is based. The strangeness content vanishes at leading order in the semi-classical expansion. Collective quantization correctly describes some contributions to the strangeness content at the first nonvanishing order in the expansion, but neglects others at the same order--namely, those associated with continuum modes. Moreover, there are fundamental difficulties in computing at a constant order in the expansion due to the non-renormalizable nature of chiral soliton models. Moreover, there are fundamental difficulties in computing at a constant order in the expansion due to the non-renormalizable nature of chiral soliton models and the absence of any viable power counting scheme. We show that the continuum mode contribution to the strangeness diverges, and as a result the computation of the strangeness content at leading non-vanishing order is not a well-posed mathematical problem in these models.
Cherman Aleksey
Cohen Thomas D. .
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