Abstract.
Standard SU(2) Heavy Baryon Chiral Perturbation Theory is extended in order to include the case of small or even vanishing quark condensate. The effective lagrangian is given to \({\cal O}(p^2)\) in its most general form and to \({\cal O}(p^3)\) in the scalar sector. A method is developed to efficiently construct the relativistic baryonic effective lagrangian for chiral SU(2) to all orders in the chiral expansion. As a first application, mass- and wave-function renormalization as well as the scalar form factor of the nucleon is calculated to \({\cal O}(p^3)\). The result is compared to a dispersive analysis of the nucleon scalar form factor adopted to the case of a small quark condensate. In this latter analysis, the shift of the scalar form factor between the Cheng-Dashen point and zero momentum transfer is found to be enhanced over the result assuming strong quark condensation by up to a factor of two, with substantial deviations starting to be visible for \(r=m_s/\hat{m}\lesssim 12\).
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 22 July 1998 / Revised version: 2 September 1998 / Published online: 2 November 1998
Rights and permissions
About this article
Cite this article
Baur, R., Kambor, J. Generalized heavy baryon chiral perturbation theory. Eur. Phys. J. C 7, 507–524 (1999). https://doi.org/10.1007/s100529801024
Issue Date:
DOI: https://doi.org/10.1007/s100529801024