Consequences of increased hypertriton binding for s-shell Lambda-hypernuclear systems

Consequences of increasing the binding energy of the hypertriton ground state H-3(Lambda)(J(P) = 1/2(+)) from the emulsion value B-Lambda(EMUL)(H-3(Lambda)g.s.) = 0.13 +/- 0.05 MeV to the STAR value B-Lambda(STAR)(H-3(Lambda)) = (0.41 +/- 0.12 +/- 0.11) MeV are studied for s-shell hypernuclei within a pionless effective field theory ((sic) EFT) approach at leading order, constrained by the binding energies of the 0(+) and 1(+) H-4(Lambda) states. The stochastic variational method is used in bound-state calculations, whereas the inverse analytic continuation in the coupling constant method is used to locate S-matrix poles of continuum states. It is found that the Lambda nn(1/2(+)) resonance becomes broader and less likely to be observed experimentally, whereas the H-3(Lambda)(3/2(+)) spin-flip virtual state moves closer to the Lambda d threshold to become a shallow bound state for specific Lambda N interaction strengths. The effect of such a near-threshold H-3(Lambda)(3/2(+)) state on femtoscopic studies of Lambda-deuteron correlations, and its lifetime if bound, are discussed. Increasing B-Lambda(H-3(Lambda)g.s.) moderately, up to approximate to 0.5 MeV, hardly affects calculated values of B-Lambda(He-5(Lambda)).