 is defined as the diluted model on $\mathcal{N}({{\mathbb R}}^d \times \{+,-\})$ specified by  0.  The intensity measure $\nu^{\lambda_+,\lambda_-}$ defined as $$\nu^{\lambda_+,\lambda_-} = \left( \lambda_+ \mathcal{L}^d \times \delta_+ \right) +  \left(\lambda