Partially conserved axialcurrent noncanonicality and the Sigma commutator
Abstract
The pion nucleon sigma commutator, sigma (pi N), was studied using the quark mass term as the mechanism for chiral symmetry breaking. The resulting expression for the divergence of the axial vector current is not a canonical field as conjectured in the hypothesis of partially conserved axial vector current. This produces a significant modification of the relationship between the soft pion limit of isoscalar pion nucleon scattering amplitude and sigma (pi N). Thus the analysis of pi N scattering data yields not the true sigma commutator but what we call the apparent sigma commutator, sigma sub A. The latter is a sum of sigma (pi N) and a contribution from the noncanonicality of the divergence of the axial vector current. A pionically amended quark bag model (the Cloudy Bag Model) was used to calculate sigma sub A.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1980
 Bibcode:
 1980STIN...8131487B
 Keywords:

 Canonical Forms;
 Commutators;
 Nucleons;
 Pions;
 Quarks;
 Vector Currents;
 Chiral Dynamics;
 Nucleonics;
 Scattering;
 Superconductivity;
 Electronics and Electrical Engineering