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In the effective field theory formalism nuclear forces are organized as a lowenergy expansion. Usually the lowest order in this expansion corresponds to thenon-perturbative iteration of the one-pion exchange potential and a fewcontact-range operators as to ensure renormalization group invariance. Here weconsider an alternative expansion in which two-pion exchange becomes the lowestorder finite range interaction and as such is expected to be iterated. Acomparison of this new expansion with the standard one shows a betterconvergence pattern for a few selected partial waves ($^1S_0$, $^3P_0$ and$^3S_1$-$^3D_1$) in two-nucleon scattering, in particular for the $^1S_0$channel (though both expansions converge well). We briefly comment on thepossible theoretical grounds for the expansion around two-pion exchange fromthe point of view of effective field theory.

A comparison of two possible nuclear effective field theory expansions around the one- and two-pion exchange potentials