Exchange magnetic moment in three-body nuclei (I)

Abstract

Meson exchange effects are considered in an attempt to explain the nuclear magnetic moment anomaly of the three-body system. The exchange magnetic moments were calculated for the case of two-body one-meson exchange and three-body two-meson exchange in the ground state of the three-body system by the methods of static Chew-Low theory. The ground state was assumed to be a pure space symmetric 2 S 1 2 state. An adjustable hard core radius r c was used in the form of a cut-off of the radial integrals for interparticle distance less than r c. The absolute value of the total exchange moment was found to be 0.4, 0.3 and 0.2 n.m. for hard core radii 0.3, 0.4 and 0.5 fm, respectively. The two-body one-meson exchange process for the hard core radius of 0.4 fm accounts for 0.2 n.m. which is 2 3 of the value reported by Villars. The remaining 0.1 n.m. results from the three-body two-meson exchange process.