The extended tree-level model for the pion-nucleon interaction

Goudsmit, P.F.A.; Leisi, H.J.; Matsinos, E.; Birbrair, B.L.; Gridnev, A.

doi:10.1016/0375-9474(94)90162-7

Cited by 65 publications

(113 citation statements)

References 22 publications

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“…First, we observe that the numbers resulting from the one-loop calculation are consistent with the "empirical" ones. The latter are obtained by use of dispersion relations for KA85 and SP98 #12 and in the EM98 case with the help of a fairly precise tree level model [37]. One might, of course, question the validity of such an approach.…”

Section: Phase Shifts and Threshold Parametersmentioning

confidence: 99%

Pion-nucleon scattering in chiral perturbation theory (I): Isospin-symmetric case

1998

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We construct the complete effective chiral pion-nucleon Lagrangian to third order in small momenta based on relativistic chiral perturbation theory. We then perform the so-called heavy baryon limit and construct all terms up-to-and-including order 1/m 2 with fixed and free coefficients. As an application, we discuss in detail pionnucleon scattering. In particular, we show that for this process and to third order, the 1/m expansion of the Born graphs calculated relativistically can be recovered exactly in the heavy baryon approach without any additional momentum-dependent wave function renormalization. We fit various empirical phase shifts for pion laboratory momenta between 50 and 100 MeV. This leads to a satisfactory description of the phase shifts up to momenta of about 200 MeV. We also predict the threshold parameters, which turn out to be in good agreement with the dispersive analysis. In particular, we can sharpen the prediction for the isovector S-wave scattering length, 0.083We also consider the subthreshold parameters and give a short comparison to other calculations of πN scattering in chiral perturbation theory or modifications thereof.

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Section: Phase Shifts and Threshold Parametersmentioning

confidence: 99%

Pion-nucleon scattering in chiral perturbation theory (I): Isospin-symmetric case

1998

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“…Next, recall that unlike the πY ones, the low-energy πN interaction is, for obvious reasons, very well studied since a long time. There is a large amount of experimental data, and also many models [16][17][18][19][20][21] that reproduce them pretty well. Here, we shall consider a chiral-invariant effective Lagrangian model.…”

Section: Strategy For the Study Of The Pion-hyperon Interactionsmentioning

confidence: 99%

Low energy pion-hyperon interaction

Junior

Hama

2001

Phys. Rev. C

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We study the low energy pion-hyperon interaction considering effective non-linear chiral invariant Lagrangians including pions, ρ-mesons, σ-mesons, hyperons and corresponding resonances. Then we calculate the S-and P -wave phaseshifts, total cross sections, angular distributions and polarizations for the momentum in the center-of-mass frame up to k = 400 MeV. With these results we discuss the CP violation in the Ξ → Λπ and Ω → Ξπ weak decays.

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“…Gross et al [9] found 1/4 PS and 3/4 PV. Goudsmit et al [10] found a small mixture of PS (about 3%). Kondratyuk and Scholten [11] found a mixture which varied with momentum transfer, being dominated by PV at low values and about equal at higher values.…”

Section: Resultsmentioning

confidence: 97%