Generalized Heavy Baryon Chiral Perturbation Theory

Details Generalized Heavy Baryon Chiral Perturbation Theory Generalized Heavy Baryon Chiral Perturbation Theory

1998-03-11

arxiv.org/abs/hep-ph/9803311v2

Eur.Phys.J.C7:507-524,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages, 3 ps-figures, uses Latex2e; discussion of results in sect. 4 improved, Appendix A and typos corrected

Scientific paper

10.1007/s100529801024

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 $r=m_s/\hat{m}\lesssim 12$.

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