Two-Body Nuclear Interaction, consistent, within the Limits of a Single Configuration, with the Spin and Magnetic Moment of the Ground-States of Lithium-6, Boron-10 and Lithium-7

Abstract

THE matrix elements of a nuclear interaction of the following kind: have been evaluated for the levels arising from the nuclear s⁴p²(⁶Li), s⁴p³(⁷Li) configurations and for the levels of maximum orbital symmetry (partition numbers [42]) of the s⁴p⁶(¹⁰B) configuration, using oscillator wave functions. Using the measured magnetic moment of lithium-6 to determine the S– D admixture in its ground-state (neglecting, however, the contribution² of M₁₂ to this moment), a relationship between V_c, V_t V_s is deduced for the consistency with spin 1 for the ground-state of lithium-6. It is found then that there still remains a range of possible values of V_c, V_t, V_s consistent with the spins for the ground-states of both lithium-7 and boron-10 (3/2 and 3 respectively).