Extraction of the pion-nucleon sigma-term from the spectrum of exotic baryons

Abstract

The pion nucleon sigma-term is extracted on the basis of the soliton picture of the nucleon from the mass spectrum of usual and the recently observed exotic baryons, assuming that they have positive parity. The value found is consistent with that inferred by means of conventional methods from pion nucleon scattering data. The study can also be considered as a phenomenological consistency check of the soliton picture of baryons.

arXiv comment8 pages, 2 figures, references added, discussion extended, to appear in Eur.Phys.J.A

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• Mass splittings of the baryon decuplet and antidecuplet with the second-order flavor symmetry breakings within a chiral soliton model
• The pseudo scalar form factor of the nucleon, the sigma-like term, and the $L_0^{+}$ amplitude for charged pion electro-production near threshold