Determination of the effective parameters of proton-${}^3$He scattering on the basis of the neutron-triton scattering data

We have studied the relations between the neutron-triton scattering lengths and effective ranges and the corresponding quantities for the p –${}^3$He scattering in the framework of the potential model with an effective nucleon-nucleus interaction in the form of a $\delta$-shell potential. It is shown that the Coulomb renormalization of the pure nuclear scattering lengths does not change the relation well established for the n + ${}^3$H system between the lengths: $A^1<A^0$. We have predicted the p–${}^3$He scattering lengths which give preference to set I of the phase analysis performed by E.A. George et al. (2003), which corresponds to the inequality $A_{nc}^1<A_{nc}^0$ for the scattering lengths.