Electromagnetic Polarizabilities and Charge Radii of the Nucleons in the Diquark-model

The diquark model is used to calculate the electromagnetic polarizabilities and charge radii of the nucleons for three different potentials. Making the scalar diquark lower in mass introduces a mixing angle $\theta$ between the $\left| 56\right\rangle$ and $\left| 70\right\rangle$ states ,which allows an improvement in value of all 6 properties. Generalizing the Gamov-Teller matrix and the magnetic moment operator to the diquark model gives constraints on this mixing. We obtain for the Richardson potential $\theta =23.2^{\circ },$ $\overline{\alpha }_p=7.9_{-0.9}^{+1.0}\times 10^{-4}fm^3,$ $\overline{\alpha }_n=7.7_{-0.6}^{+0.3}\times 10^{-4}fm^3,$ $\overline{\beta }_p=5.4_{-0.4}^{+1.6}\times 10^{-4}fm^3,$ $\overline{\beta }_n=6.7_{-0.7}^{+1.3}\times 10^{-4}fm^3,$ $\left\langle r^2\right\rangle _p=0.37_{-0.03}^{+0.02}fm^2,$ $\left\langle r^2\right\rangle _n=-0.07_{-0.02}^{+0.03}fm^2.$ Additional pion cloud contributions could improve on all six results.Comment: 15 Pages, Latex, Figs on request, to be published Phys.Lett.B. Minor errors corrected and eqn 5,6,8,9 correcte

Electromagnetic Polarisability of the Nucleon in Chiral Perturbation Theory

We compute the polarisability of the nucleon to leading order in chiral perturbation theory. The contributions from kaons and baryon resonances as intermediate states are included in addition to the contribution from pions and nucleons that had been previously computed. The isoscalar operators are dominated by the infrared behaviour of pion loops giving rise to a $1/m_{\pi}$ coefficient. In contrast, the isovector operators are dominated by loops involving kaons, giving a $1/m_{k}$ coefficient, and further demonstrates that the strange quark is an important component of the nucleon. In addition, the inclusion of the decuplet of baryon resonances as intermediate states substantially modifies the result found from the octet baryons alone for the isoscalar polarisability.Comment: 11 pages (uses harvmac, figures available upon request) , UCSD/PTH 92-30, QUSTH-92-0