Abstract

A one-body density matrix formalism is presented for studies of isoelastic processes, that is, for semi-leptonic weak and electromagnetic interactions involving the members of a nuclear ground-state isospin doublet. Relationships involving density matrices are given for the general case and then specialized to the systems 3H- 3He and 11B- 11C, where data on conventional electromagnetic and weak interactions provide stringent constraints on the form of the density matrix. Predictions are then given for charge-changing and neutral current neutrino reactions. The effects of changes in the weak coupling constants and of second-class tensor currents on these processes are discussed.

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