Low-energy pion - nucleon P wave scattering in the Skyrme model

Holzwarth, G.; Pari, G.; Jennings, B.K.

doi:10.1016/0375-9474(90)90278-T

Low-energy pion - nucleon P wave scattering in the Skyrme model

Mar, 1990

21 pages

Published in:

Nucl.Phys.A 515 (1990) 665-685

Published: 1990

DOI:

10.1016/0375-9474(90)90278-T

Report number:

PRINT-91-0165

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Abstract: (Elsevier)

The π N P-wave scattering amplitudes are calculated in the Skyrme model for pion momenta up to k =3 m π . From the contributions of the rotational zero modes to the background scattering the π NN form factor is extracted. Linear and quadratic time-derivative interactions are added to the K -matrix in plane-wave Born approximation. Best results are obtained with the physical value f π =93 MeV and they reproduce the essential features of the P-wave data analysis. Deficiencies are due to two shortcomings of the Skyrme stabilization mechanism: the pion-nucleon coupling constant is too small by a factor of ∼0.77 and the Skyrmion is too soft for monopole vibrations.

pi nucleon: interaction
interaction: pi nucleon
pi nucleon: elastic scattering
elastic scattering: pi nucleon
scattering amplitude: partial wave
partial wave: scattering amplitude
Skyrme model
sigma model: nonlinear
scattering: background
background: scattering

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