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• W1988135915 endingPage "1205" @default.
• W1988135915 startingPage "1190" @default.
• W1988135915 abstract "The quantum mass shift of the soliton in the Skyrme model has been calculated from all nonzero modes. The calculations were carried out using a method applied earlier to the sine-Gordon model. The mass shifts do not depend on the baryonic spin, therefore they are the same for the nucleon and the $ensuremath{Delta}$. Our model parameters are the pion decay constant ${F}_{ensuremath{pi}}$, with its experimental value, and the pionic mass ${m}_{ensuremath{pi}}$, once in the chiral limit ${m}_{ensuremath{pi}}=0$ and also with the experimental value. We justify taking for the Skyrme parameter $e$ the experimental value of ${g}_{ensuremath{rho}ensuremath{pi}ensuremath{pi}}$, the mesonic $ensuremath{rho}$-pion coupling constant. The results depend on the vibrational energy. In this case an energy cutoff must be introduced. Using renormalization considerations as in the nonlinear $ensuremath{sigma}$ model, we have chosen this cutoff to be $e{F}_{ensuremath{pi}}=1136$ MeV. Our results (for $e={g}_{ensuremath{rho}ensuremath{pi}ensuremath{pi}}=6.11$ and ${F}_{ensuremath{pi}}=186$ MeV) are ${M}_{N}=996$ MeV, ${M}_{ensuremath{Delta}}=1593$ MeV for ${m}_{ensuremath{pi}}=0$; ${M}_{N}=857$ MeV, ${M}_{ensuremath{Delta}}=1641$ MeV for ${m}_{ensuremath{pi}}=138$ MeV. The spin dependence and the energy contribution of the coupling term between vibrations and rotations are being considered here only in a qualitative way." @default.
• W1988135915 created "2016-06-24" @default.
• W1988135915 creator A5086801353 @default.
• W1988135915 date "1993-02-01" @default.
• W1988135915 modified "2023-09-23" @default.
• W1988135915 title "Quantum mass shift of the soliton in the Skyrme model" @default.
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• W1988135915 doi "https://doi.org/10.1103/physrevd.47.1190" @default.
• W1988135915 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/10015680" @default.
• W1988135915 hasPublicationYear "1993" @default.
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