Hypertriton calculation with meson-theoretical nucleon-nucleon and hyperon-nucleon interactions

Jülich hyperon-nucleon model revisited

“…In this context we want to mention that the static version of the old Jülich YN model [2] did not support a hypertriton bound state [40]. However, in that model both the 1 S 0 as well as the 3 S 1 N scattering lengths are considerably smaller [2] than in our new YN model.…”

“…In this approach retardation effects from the meson-exchange diagrams are retained (and those of baryonexchange as well) and as a consequence the interaction depends explicitly on the starting energy. This is not convenient if one wants to apply the YN model in conventional few-body [40][41][42][43][44][45][46][47] or many-body [48][49][50][51] investigations. Thus, in Ref.…”

Quark Model Three Body Calculations for the Hypertriton Bound State

“…Faddeev calculations were performed in order to study and investigate the hypertriton using various -N and N-N interactions [5]- [16]. In these calculations a combinations of the -N and N-N interactions which came out with the results that the hypertriton is unbound [5], [6] ,while in using the Nijmegen potentials the calculations led to a bound state of the hypertriton [7]. Faddeev quark model calculations were performed [8]- [14] using quark model -N interactions combined with various N-N interactions which also came out with the result that the they unbound the hypertriton except for one or two -N interactions which could bound the hypertriton [12]- [15].Variational calculations have been made [16]- [19] in order to study the hypertriton bound state using various -N and N-N interactions.…”

“…Therefore the theoretical investigations of hypertriton have attracted considerably attentions in nuclear physics study over the last four decades .The interest is reflected in a number of investigations where different techniques and models have been used. Faddeev calculations were performed in order to study and investigate the hypertriton using various -N and N-N interactions [5]- [16]. In these calculations a combinations of the -N and N-N interactions which came out with the results that the hypertriton is unbound [5], [6] ,while in using the Nijmegen potentials the calculations led to a bound state of the hypertriton [7].…”

Effects of the higher partial waves and relativistic terms on the accuracy of the calculation of the hypertriton electroproduction

“…[1,2]. In this analysis the cross section is calculated by means of the elementary operator Kaon-Maid [3] sandwiched between two nuclear wave functions ( 3 He and 3 Λ H) obtained from the solutions of Faddeev equations using modern nucleon-nucleon and hyperon-nucleon potentials [4,5]. The numbers of partial waves for the 3 He and Along with the corresponding probabilities these partial waves are shown in Table 1.…”