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

Abstract

In the present paper, the cross section of the D(d,p)T, D(d,γ)4He,T(d,n)4He and D(p,γ)3He fusion reactions in terms of the lattice effect in solid state internal conversion for different structures and different metallic crystalline environments in comparison with palladium environment has been determined. Elements that we used in this article are Ni, Ru, Rh, Pt, Ta, Ti, Zr, which are contained FCC, BCC and HCP lattice structures. Fusionable particles are solved as a sublattice in mentioned crystalline metals. Fusion reactions are generated by the flux of incoming fusionable particles. We took lattice effect part in our calculations with regard the Bloch functions for the initial and final state of a three body system. Three-body system involved the host lattice, sublattice and incident particles. The cross section to perform each fusion reaction inside different metal is computed using the state of initial and final system. Then our results for cross section of different metal are compared with palladium metal. Finally, the solid state internal conversion coefficient is obtained by considering the lattice effect.