Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-11-06
Nucl.Phys. A615 (1997) 483-500
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pp, LaTeX, enlarged and revised version, title changed, minor corrections in section 4, more detailed discussion in section
Scientific paper
10.1016/S0375-9474(97)00021-3
The next-to-leading order chiral pion-nucleon Lagrangian contains seven finite low-energy constants. Two can be fixed from the nucleon anomalous magnetic moments and another one from the quark mass contribution to the neutron-proton mass splitting. We find a set of nine observables, which to one loop order do only depend on the remaining four dimension two couplings. These are then determined from a best fit. We also show that their values can be understood in terms of resonance exchange related to $\Delta$ excitation as well as vector and scalar meson exchange. In particular, we discuss the role of the fictitious scalar-isoscalar meson. We also investigate the chiral expansion of the two P-wave scattering volumes $P_1^-$ and $P_2^+$ as well as the isovector S-wave effective range parameter $b^-$. The one-loop calculation is in good agreement with the data. The difference $P_1^- - P_2^+$ signals chiral loop effects in the $\pi N$ P-waves. The calculated D- and F-wave threshold parameters compare well with the empirical values.
Bernard Véronique
Kaiser Nicholas
Meißner Ulf-G.
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