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Correlation of the Flux Tube Constant with the Nucleon Electric Polarizability

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Abstract

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.

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Strobel, G.L. Correlation of the Flux Tube Constant with the Nucleon Electric Polarizability. International Journal of Theoretical Physics 39, 2853–2865 (2000). https://doi.org/10.1023/A:1026417300692

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