Born term of the piN scattering amplitude in the Skyrme model

Itoh, Tomoaki; Arima, Masaki

doi:10.1103/PhysRevC.83.045203

Born term of the piN scattering amplitude in the Skyrme model

Tomoaki Itoh
(
- Osaka City U.
)
,
Masaki Arima
(
- Osaka City U.
)

Apr, 2011

5 pages

Published in:

Phys.Rev.C 83 (2011) 045203

DOI:

10.1103/PhysRevC.83.045203

View in:

Nuclear Science References

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Abstract: (APS)

The Skyrme model is applied to the study of the πN scattering amplitude. The useful expression of amplitude given by the chiral reduction formula is employed. The calculation is performed in the lowest order of 1/Nc: a source of interaction is a classical soliton taking a hedgehog configuration. It is important to consider the zero modes both for the translation invariance and for the isospin symmetry simultaneously. Despite the former negative impression, the Skyrme model correctly produces the Born term in the scattering amplitude.

13.75.Gx
12.39.Dc
pi nucleon: scattering amplitude
Skyrme model
Born approximation
chiral
expansion 1/N: color
isospin: symmetry
symmetry: translation

References(21)

Figures(0)

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