parameter of the model fixing the scale of the problem in momentum space. In the N2LOL, it has been fixed to Λ = 500 MeV, whereas in the TM’ model the ratio Λ /m$_{π}$ has been varied to describe the triton or $^{4}$He binding energy at fixed values of the constants a , b and d . In the literature the TM’ potential has been used many times with typical values around Λ = 5 m$_{π}$ . In the URIX model the radial dependence of the b - and d -terms is given in terms of the functions Y ( r ) = e − $^{x}$/x ξ$_{Y}$ T ( r ) = (1 + 3 /x + 3 /x $^{2}$) Y ( r ) ξ$_{T}$ (6) with x = m$_{π}$r and the cutoff functions are defined as ξ$_{Y}$ = ξ$_{T}$ = (1 − e − cr $^{2}$), with c = 2 . 1 fm − $^{2}$. This regularization has been used in the AV18 potential as well. Since the URIX model has been constructed in conjunction with the AV18 potential, the use of the same regularization was a choice of consistency. The relation between the functions Y ( r ) , T ( r ) and those of the previous models is: With the definition given in Eq.(4), the asymptotic behavior of the functions f 0 ( r ), y ( r ) and t ( r ) is: Y ( r ) = y ( r ) + T ( r ) T ( r ) = r 2 3 t ( r ) . (7) f 0 ( r → ∞ ) → 3 m 2 π e − x x y ( r → ∞ ) → − 3e − x x 2 ( 1 + 1 x ) t ( r → ∞ ) → 3 r 2 e − x x ( 1 + 3 x + 3 x 2 ) . (8) To be noticed that with the normalization chosen for f 0 , the functions Y and T defined from y and t and those ones defined in the URIX model coincide at large separation distances. Conversely, they have a different short range behavior. Using the URIX Y ( r ) , T ( r ) functions, the a -term has been included in the construction of the Illinois TNF model [23]. The last two terms in Eq.(2) correspond to a two-nucleon (2N) contact term with a pion emitted or absorbed ( D -term) and to a three-nucleon (3N) contact interaction ( E -term). 6