Effects of the Coulomb Repulsion on the Electro-Magnetic Radii of H^3 and He^3 Nuclei

Physics

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The triton and He^3 wave functions are identical if the nuclear forces are charge symmetric and the Coulomb force between two protons in the He^3 nucleus is absent. The Coulomb potential between two protons induces the expansion and the distortion of the He^3 nucleus. The effects due to the expansion and the distortion on the electro-magnetic form factors of the three-body nuclei are discussed. It is shown that the actual expansion is considerably smaller than that estimated from the binding energies of both nuclei. The distortion is proportional to the induced amplitude of the T = 3/2 state, and is found to be very small. The effects due to this Coulomb repulsion alone are not sufficient to account for the observed differences in the electro-magnetic form factors. The T = 3/2 state probability in the He^3 nucleus is estimated to be 0.001 sim 0.006

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