Determination of Cross Section for Different Fusion Reactions in Terms of Lattice Effects in Solid State Internal Conversion in Crystalline Palladium Environment

Abstract

In this article, the cross section of different fusion reactions is determined: D(d,p)T, D(d,γ)4He,T(d,n)4He and D(p,γ)3He by considering the lattice effect in internal conversion of solid state in  palladium environment which is a face-cubic-centered-structured metal. Fusionable particles are solved as sublattice; these particles contribute in fusion reaction in palladium environment. Fusion reaction is generated by flux of incoming fusionable particles. In order to enter the lattice effect in the fusion cross section for above reactions, It need to use The Bloch function for the initial and final state of three- body system. The three - body system consists of the host lattice, sublattice and incident particles. Then the new fusion cross sections are compared with ordinary ones. Finally, the internal conversion coefficient is obtained with regarding the lattice effect. The authors strongly discuss that the lattice effect in solid state internal conversion must be considered until the experimental data of fusion cross section have a good justification with theoretical hypothesis.