Abstract
We argue that the large- N c behaviour of the Yukawa couplings in the Skyrme model involves issues more subtle than the vanishing of linear fluctuations needed for classical stability of the skyrmion. The chiral fluctuations about the skyrmion must be quantized in order to reach a conclusion. An improved quantization procedure allows us to confront this question directly. The pion-nucleon coupling constants g πNN (CP conserving) and g πNN (CP violating) are calculated in the large- N c , three-flavour Skyrme model by direct evaluation of the leading matrix elements appearing in the LSZ reduction formula. We find that g π N N ∼ N c 3 2 , but that, at most g π N N ∼ m π 2N c −1 2 . These results show that the leading contribution to the neutron electric dipole moment in large- N c Skyrme model is the direct one ( D n ∼ N c m π 2), rather than the pion loop contribution.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.