Energy dependence of the D-D reaction cross section at low energies

Abstract

The energy variation of the approach cross section for the D-D reaction is calcu lated using several different methods. The s implest method assumes strong absorption inside the nuclear surface and uses the ''''KB ~pproximation: The slope of the Gamow p lot is in thiS c.ase a constant. A ~trong abso rptlOn model, wIthout vVKB approximation, leads to negatIve correctlOns to tlus co nstant slope . A weak absorption model which seems more applicable, gives both positive and negative corrections, depending O~l the depth of the nu cl?ar potential. ~ina Jl y, since the ~mount of ~bsorption seems important, the effects of varyll1g the absorptlOn are studi ed uSing the optical model. The possible influence of the P-waves is also investigated . An experimental study of the energy dependence of the slope of the Gamow plot should give information on the optical potential which one deuteron sees when it approac hes another deuteron.

Cosmic Rays Self-arising Turbulence with Universal Spectrum −8/3

“…The ratio of the fluxes of secondary and primary nuclei in CRs has long been used as an indicator of the grammage traversed in the journey of CR particles throughout the Galaxy (Luo et al 2023;Ma et al 2023;Cowsik & Huta 2022;Luoni et al 2021;Brennan & Coyne 1964;Cole & Cherkaoni-Tadili 1987). At sufficiently high energy, typically 100 GeV/n, the ratio of fluxes of the secondary nucleus to that of the main primary nucleus is found to scale as E − δ , where E is the energy per nucleon (a conserved quantity in spallation reactions) and δ identifies usually as the energy dependence of the diffusion coefficient (De La Torre Luque et al 2021).…”

Empirical model for fusion cross sections of Ca-induced reactions

“…The fusion cross-section in terms of energy-dependent factors such as geometric, Gamow-Sommerfield, and astrophysical S-factor [33] is expressed as…”