πN scattering in relativistic baryon chiral perturbation theory revisited

Details πN scattering in relativistic baryon chiral perturbation theory revisited πN scattering in relativistic baryon chiral perturbation theory revisited

2011-02-08

arxiv.org/abs/1102.1537v1

Phys.Rev.C83:055205,2011

Physics

Nuclear Physics

Nuclear Theory

26 pages, 5 figures, 5 tables

Scientific paper

10.1103/PhysRevC.83.055205

We have analyzed pion-nucleon scattering using the manifestly relativistic covariant framework of Infrared Regularization up to {\cal O}(q^3) in the chiral expansion, where q is a generic small momentum. We describe the low-energy phase shifts with a similar quality as previously achieved with Heavy Baryon Chiral Perturbation Theory, \sqrt{s}\lesssim1.14 GeV. New values are provided for the {\cal O}(q^2) and {\cal O}(q^3) low-energy constants, which are compared with previous determinations. This is also the case for the scattering lengths and volumes. Finally, we have unitarized the previous amplitudes and as a result the energy range where data are reproduced increases significantly.

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