Nonperturbative $^3S_1$-$^3D_1$ NN scattering in pionless EFT

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The rigorous on-shell $T$-matrices for $NN$ scattering in the coupled channels $^3S_1$$-$$^3D_1$ are briefly presented in the context of EFT($\notπ$) with the contact potentials truncated at order $Δ=4$. The nonperturbative features of renormalization are highlighted and elaborated. A simple scenario for EFT power counting's and renormalization prescriptions is also presented with its consequences being roughly analyzed and discussed.
5 pages, no figure

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