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##### Canonical quantization of the chiral soliton model with vector mesons and then N-Delta splitting

**Authors**: E. Ruiz Arriola, P. Alberto, K. Goeke and J.N. Urbano

**Ref.**: Physics Letters B **236**, 381-386 (1990)

**Abstract**: We investigate the canonical quantization of the massive Yang-Mills lagrangian including sigma, pi, omega, rho, A mesons as well as valence quarks. After eliminating the time-like component of the vector mesons fields a mean field Fock state is defined as a product of a Slater determinant for the quarks in a 1s state and coherent states for the mesons. This mean field Fock state is projected onto good spin and isospin by means of Peierls-Yoccoz operators and we obtain, after fitting the nucleon mass, a N-Delta splitting which accounts for 80% of the experimental value.