Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1999-12-10
Nucl.Phys. A673 (2000) 311-334
Physics
Nuclear Physics
Nuclear Theory
23 pp, LaTeX2e, 10 figs
Scientific paper
10.1016/S0375-9474(00)00150-0
We develop a novel approach to chiral meson-baryon dynamics incorporating unitarity constraints and explicit resonance fields. It is based on the most general structure of any pion-nucleon partial wave amplitude neglecting the unphysical cuts as derived from the N/D method. This amplitude is then matched to the one-loop heavy baryon chiral perturbation theory result at third order and to tree level exchanges of baryon- and meson states in the s,t and u channels. This generates the left-hand cuts. The unitarization procedure does not involve form factors or regulator functions. The resonance parameters are determined from fits to the S- and P-wave pion-nucleon partial wave amplitudes for energies up to 1.3 GeV. In particular, the $\Delta (1232)$ is accurately reproduced whereas scalar and vector meson couplings are less precisely pinned down. We also obtain a satisfactory description of the $\pi$N threshold parameters. Further extensions of this method to coupled channels and the three-flavor case are briefly discussed.
Meißner Ulf-G.
Oller Jose Antonio
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