now results to be D PW 2 π = 1 and A$_{R}$ = 0 . 0181 MeV. As D PW 2 π diminishes, A$_{R}$ tends to in- crease further with the consequence that the mean value V$_{R}$ (3 N ) is more than three times larger than the value obtained using the original parameters (given in the first row). This is compensated by a lower mean value of the kinetic energy. A further analysis of the effects of the parametrizations given in Table III is performed in Sec. IV studying selected p − d polarization observables. The parameters c 1 , c 3 and c 4 of the N2LOL model have been taken from the the chiral N3LO NN force of Ref. [15], whereas the c$_{D}$ and c$_{E}$ parameters have been determined in Ref. [10], in conjunction with that NN force, by fitting B ( $^{3}$H) and B ( $^{4}$He). Here we are going to use the N2LOL force in conjunction with the AV18 NN interaction, so we have to modify its parametrization since the amount of attraction to be gained is now different (see Table I). In the following we will call c 0 $_{1}$, c 0 3 and c 0 4 the values of these constants, given in Sec.II, determined in Ref. [15]. Among different possibilities, in Fig. 5 we show a new parametrization of the N2LOL interaction obtained by multiplying c 0 3 and c 0 4 by a factor c 0 and maintaining c 1 = c 0 $_{1}$. Then the parameters c$_{D}$ and c$_{E}$ have been determined from a fit to B ( $^{3}$H) and $^{2}$a$_{nd}$ . They are shown on panel (a) as a function of c 0 . Therefore, at a fixed value of c 0 , with the set of parameters c 1 = c 0 $_{1}$, c 3 = c 0 c 0 $_{3}$, c 4 = c 0 c 0 4 and the corresponding values of c$_{D}$ and c$_{E}$ extracted from the figure, the AV18+N2LOL interaction reproduces the B ( $^{3}$H) and $^{2}$a$_{nd}$ . In panel (b) we show the stability obtained in the description of the doublet scattering length corresponding to the constant value chosen for the determination of the parameters, $^{2}$a$_{nd}$ = 0 . 644 fm. With the new set of parameters it is now possible to calculate B ( $^{4}$He). This is shown in panel (c) and it is interesting to note that in all cases the value B ( $^{4}$He)=28.60 MeV has been obtained. Modifying also the parameter c 1 as c 1 = c 0 c 0 1 slightly different values of c$_{D}$ and c$_{E}$ are obtained. Using these values to calculate B ( $^{4}$He), again we obtain a constant value that is now = 28 . 55 MeV. Similar analyses using slightly different values of the cutoff Λ around 500 MeV do not change these results. C. N2LOL Force In order to correctly describe B ( $^{4}$He), after fixing B ( $^{3}$H) and $^{2}$a$_{nd}$ , we now analyze a modification to the relative strength of the b - and d -terms which, in the previous analysis, was maintained at its original value of c 0 $_{4}$/c 0 3 = 1 . 6875. To this end we perform a similar 12