TY - JOUR

T1 - Collective quantization of three-flavored Skyrmions reexamined

AU - Cherman, Aleksey

AU - Cohen, Thomas D.

AU - Dulaney, Timothy R.

AU - Lynch, Erin M.

PY - 2005/11/1

Y1 - 2005/11/1

N2 - A self-consistent large Nc approach is developed for the collective quantization of SU(3) flavor hedgehog solitons, such as the Skyrmion. The key to this analysis is the determination of all of the zero-modes associated with small fluctuations around the hedgehog. These are used in the conventional way to construct collective coordinates. This approach differs from previous work in that it does not implicitly assume that each static zero-mode is associated with a dynamical zero-mode. It is demonstrated explicitly in the context of the Skyrmion that there are fewer dynamical zero-modes than static ones due to the Witten-Wess-Zumino term in the action. Group-theoretic methods are employed to identify the physical states resulting from canonical quantization of the collectively rotating soliton. The collective states fall into representations of SU(3) flavor labeled by (p,q) and are given by (2J,Nc2-J) where J=12,32, is the spin of the collective state. States with strangeness S>0 do not arise as collective states from this procedure; thus the θ+ (pentaquark) resonance does not arise as a collective excitation in models of this type.

AB - A self-consistent large Nc approach is developed for the collective quantization of SU(3) flavor hedgehog solitons, such as the Skyrmion. The key to this analysis is the determination of all of the zero-modes associated with small fluctuations around the hedgehog. These are used in the conventional way to construct collective coordinates. This approach differs from previous work in that it does not implicitly assume that each static zero-mode is associated with a dynamical zero-mode. It is demonstrated explicitly in the context of the Skyrmion that there are fewer dynamical zero-modes than static ones due to the Witten-Wess-Zumino term in the action. Group-theoretic methods are employed to identify the physical states resulting from canonical quantization of the collectively rotating soliton. The collective states fall into representations of SU(3) flavor labeled by (p,q) and are given by (2J,Nc2-J) where J=12,32, is the spin of the collective state. States with strangeness S>0 do not arise as collective states from this procedure; thus the θ+ (pentaquark) resonance does not arise as a collective excitation in models of this type.

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U2 - 10.1103/PhysRevD.72.094015

DO - 10.1103/PhysRevD.72.094015

M3 - Article

AN - SCOPUS:29744441374

VL - 72

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 9

M1 - 094015

ER -