A new microscopic nucleon-nucleon interaction derived from relativistic mean field theory

A new microscopic nucleon-nucleon (NN) interaction has been derived for the first time from the popular relativistic mean field theory (RMFT) Lagrangian. The NN interaction so obtained remarkably relate to the inbuilt fundamental parameters of RMFT. Furthermore, by folding it with the RMFT-densities of cluster and daughter nuclei to obtain the optical potential, it's application is also examined to study the exotic cluster radioactive decays, and results obtained found comparable with the successfully used M3Y phenomenological effective NN interactions. The presently derived NN-interaction can also be used to calculate a number of other nuclear observables.Comment: 4 Pages 2 Figure

Recognition of Whitehead-Minimal Elements in Free Groups of Large Ranks

In this paper we introduce a pattern classification system to recognize words of minimal length in their automorphic orbits in free groups. This system is based on Support Vector Machines and does not use any particular results from group theory. The main advantage of the system is its stable performance in recognizing minimal elements in free groups with large ranks