Three-nucleon results for separable potentials modelled on the Reid soft-core potential

Approximately linear relations between two-nucleon and three-nucleon parameters

“…This would be especially interesting in view of the fact that our potentials can be modelled on realistic local or one-boson-exchange potentials [4,3] and that therefore the results which we obtain can be considered model-independent in the sense that they presumably can represent most types of potentials [-4, 3]. These results will therefore include most of the different Phillips lines and other linear relations obtained with different potential models, if they are realistic.…”

“…It has been shown [3] that for such realistic interactions, realistic in the sense that they obey the known off-shell constraints, the values of 2a and Et all lie on the socalled Phillips band, which confirms the strong correlation between Za and E t for realistic interactions. This Phillips band appears to be independent of the potential model employed as can be demonstrated by the fact "that our separable potentials can be modelled on the realistic local potentials producing nearly the same results for 2a and Et as they do [3,4]. The width of the parallel band gives a measure of the correlation which exists between 2a and E 3.…”

“…The width of the parallel band gives a measure of the correlation which exists between 2a and E 3. If the off-shell constraints are not taken into account however results which depart widely from the Phillips band can be obtained [3,4]. This demonstrates the importance of eliminating interactions which do not obey the offshell constraints as has also been pointed out by Srivastava and Sprung [6].…”

“…In Fig. 4 we plot E, against ~ 2 5Ao, with a fixed singlet interaction $4 (modelled on the RSCP [4]) and a fixed value of fl~ (fl~ = 1.2 fm~ t) with the exception of the points 1B and 2B (with fl~=l.5fm ~) and 3B (with /3~=l.8fm a), all from the phase-equivalent set B. It is seen that the interactions with a fixed /~ 1 2 obey the linear relation between E~ and ~-Aot to a with different values of ill.…”

“…Our potentials are obtained by inverting the scattering data in the 3S 1 -3D 1 channel [16,4,3]. However the fit to Qa which we require makes it impossible for us to fit the experimental mixing parameter el(k) at low energies.…”