Correlation of the Flux Tube Constant with the Nucleon Electric Polarizability

A three-quark shell model of the nucleon is used to calculate analytically thepolarizability using a scalar linear flux tube potential with no one-gluon exchangepotential included. A value of 12.02 × 10 −4 f 3 is obtained for the proton, ingood agreement with experiment, with the flux tube constant adjusted to reproducethe proton Δ average rest energy. The magnetic polarizability of the proton isthen calculated as 1.51 × 10 −4 f 3 , which is in agreement with the experimentalvalue. The neutron/proton electric polarizability ratio is calculated as 2/3, andthe neutron electric polarizability is predicted to be 8.01 × 10 −4 f 3 .