The three-nucleon problem with the square-well potential

Three-nucleon calculations with local potentials

“…In Fig. 13 Calculations of a3/2 in the multiseparable approach for Hulth› and square-well potential gave similar values and also nearly no corrections of the result of the simple separable potential model [29].…”

“…For completeness I mention that also other local potentials have been studied by various authors [29,30].…”

“…[2'7] YuxAw•, quasiparticle method[37] (1. QBA) HULTH~N, multiseparable approach[29] Fig. 14 that considerable core and tensor effects are necessary to reverse this trend.…”

Three-particle dynamics in the case of finite-range forces

“…It is of interest that the zero approximation (allowance for the two-body correlation only) has already provided for existence of the three-particle bound state. The value B = 20.64 MeV previously calculated [9] applying separable rank-2 Hilbert-Schmidt expansion for the two-particle t-matrix is attainable at the seventh iteration.…”

“…The parameters of the square well (v~ R=2.131fm) corresponding to the low-energy spin-triplet np data (be=2.225 MeV, at=5.425 fro) were used. The values of the binding energy of three identical spinless particles in the ground S-state (B=-Z) obtained in the catcu- [9] 20.64 lations are given in Table 1. It is of interest that the zero approximation (allowance for the two-body correlation only) has already provided for existence of the three-particle bound state.…”