Coulomb Corrections to the Rate of the Astrophysical Reaction p + p → d + e^+ + ν_e

Physics – Nuclear Physics

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The sensitivity of the pp-chain reaction p + p → d + e^+ + νe to the strong NN interaction and to the intial and final state Coulomb interactions has been studied in (J.N. Bahcall and R.M. May, Astrophys. J. 155, 501 (1969)) (M. Kamionkowski and J.N. Bahcall, Astrophys. J. 420, 884 (1994)) . Here we calculated the corrections to the reaction rate of this reaction due to the Coulomb interaction between e^+ and p in the intermediate state. We took into account also the Coulomb pp interaction in the initial state and the Coulomb e^+d interaction in the final state. The Coulomb e^+p interaction in the intermediate state p + n + e^+ occurs immediately after the virtual β process p → n + e^+ + νe and thus preceeds the deuteron formation. The Coulomb corrections due to the intermediate e^+p interaction and e^+d final state interaction belong to different Faddeev components and therefore they can be added without double counting. The allowing for the intermediate e^+p Coulomb interaction decreases the astrophysical factor at near-zero energies by 1.0%.

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