Collective plasma correction to thermonuclear reaction rates in dense plasma

One derived kinetic equations for nuclear reactions in dense plasma with regard to collective plasma effects. It is shown that alongside with the corrections proportional to products of Zi and Zj charges of i and j nuclei reacting charges one observes new ones comparable as to value of correction that are proportional to squares of Zi2 and Zj2 nuclei charges. Corrections proportional to ZiZj come into being for the reactions for which the Salpeter corrections are equal to zero. One determined a new type of corrections proportional to square of charges of reacting nuclei and resulted from variation of collective natural electrostatic energy of system at occurrence of nuclear reactions. One calculated numerically plasma corrections for reactions of hydrogen cycle for temperature, density and composition relevant to the Sun interior