Description of interaction between lightest nuclei and nucleons and Λ particles at low energies

The previously suggested three- and four-particle equations are applied to describe the low-energy scattering in the Λd, Λ3H, Λ3He, Nd, N3H, N3He systems and to find the binding energies of the lightest hypernucli. The doublet lenaths of Λd scattering and sup(2)Bsub(Λ)(sub(Λ)sup (3)H) separation energy are determined to be equal to 13-29 Fm and 0.214 MeV. Triplet Asub(t) and singlet Asub(s) lengths Λ(3N) scattering and separation energy: Asub(s)(Λsup(3)He)=4.23 fermi, Asub(t)(Λsup(3)He)=5.73 fermi, Bsub(Λsup(s)(sub(Λ)sup(4)He)=2.82 MeV, Asub(s)(Λsup(3)H)=4.53 fermi, Asub(t)(Λsup(3)H)=4.45 fermi, Bsub(Λ)sup(s)(sub(Λ)sup(4)H)=2.45 MeV. Approximate analytical expressions for nucleon-nucleus scattering amplitudes are obtained. The scattering p3H- and p3He-lengths are determined: A0(p3H)=4.2 fermi, A1(p3H)=5.1 fermi, A0(p3He)=4.1 fermi, A1(p3He)=5.2 fermi, where A0 and A1 correspond to full spin of the four nucleon system s=0 and 1. The real parts of Asub(s)(nsup(3)He) lengths are close to the experimental ones. The suggested approximate equations permit to calculate wave functions of thermal neutrons scattering on 3He nuclei within the framework of the four-body theory with account for the Coulomb 3He and 3H energy fission