The nonlocal tensor operatorS ^N₁₂ (ρ, ρ′)

Abstract

The extension of the tensor potentialS ₁₂ V _T (r) to the case of a nonlocal interaction is shown to be

$$\begin{gathered} V_T (r{\text{,}}r'{\text{) = }}S_{12}^N F(r,r') \hfill \\ {\text{ = }}\tfrac{{\text{1}}}{{\text{2}}}[9(\rho \cdot \rho '{\text{)(}}\sigma _1 \cdot \rho \sigma _2 \cdot \rho '{\text{ + }}\sigma _1 \cdot \rho '\sigma _2 \cdot \rho {\text{)}} - 2(\sigma _1 \cdot \sigma _2 )]F(r,r'), \hfill \\ \end{gathered}$$

where ρ=r/r. This potential has the necessary invariance properties provided thatF(r, r′)=F(r′, r). With this potential andF(r, r′) taken to have a rank-one separable form, the behaviour of the model-deuteron radius with respect to the strength of the tensor nonlocality is investigated. It is found that the model radius decreases as the tensor nonlocality becomes more attractive. This is consistent with recent work which considers only central nonlocality.