Optimization studies initiated with calculations of three-nucleon systems from nd elastic scattering interaction observables. First we fulfilled a careful study of asymptotic conditions because oscillations of the spherical Bessel functions in the case of nd scattering and of the Coulomb functions in the case of pd scattering critically effect the stability of the calculated solutions. We have elaborated new computer codes to construct more detailed angular grids that allows us to not only to solve the problem of function oscillations but also to decrease the computer time for runs. Solutions of Faddeev equations require using supercomputers and optimization and time reduction for calculations are an important element of the code development. Our new results on elastic observables (differential cross section, vector and tensor analyzing power) are in excellent agreement to those of other authors.
Calculations of inelastic nd and pd scattering amplitudes require much more computer time as compared to elastic scattering, therefore, we elaborated new computer codes to invert matrices having dimensionality about 25000*25000. This capability permits a decrease in computer time by a factor of about 20. Using our new codes we have recalculated observables for nd scattering above the deuteron threshold having confirmed our recent results that will be reported at the next International IUPAP Conference on Few-Body Problems in Physics.
Recently we obtained new results on observables for inelastic nd scattering and our report “Neutron-deuteron scattering in configuration space II”, is accepted for oral presentation at the Annual Meeting of the APS Division of Nuclear Physics, 2009.