Bound-free electron-positron pair production in relativistic heavy-ion collisions

Abstract

The bound-free electron-positron pair production is considered for relativistic heavy ion collisions. In particular, cross sections are calculated for the pair production with the simultaneous capture of the electron into the 1s ground state of one of the ions and for energies that are relevant for the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Colliders (LHC). In the framework of perturbation theory, we applied Monte-Carlo integration techniques to compute the lowest-order Feynman diagrams amplitudes by using Darwin wave functions for the bound states of the electrons and Sommerfeld-Maue wave functions for the continuum states of the positrons. Calculations were performed especially for the collision of Au + Au at 100 GeV/nucleon and P b + P b at 3400 GeV/nucleon.

Bound-free pair production with a correction term in relativistic heavy-ion collisions

“…[19] This work (cor) RHIC Au+Au 94. In some previous works, the expression for pair production with electron capture in the nucleus with target charge is obtained via first order perturbation theory [1,24,25].…”

“…In order to compare our new cross section results (with correction term) with our previous work (without correction term) [19], we performed total BFPP cross section results for selected collision energies in Table 1. It is clear that correction term reduces the cross section quite substantially.…”

“…Up to now, we included the correction term in the BFPP expressions and when we compare these results with the previous calculations [19], it is clear that there are differences between them. In Eq.…”

“…σq represents the spinor structure for the outgoing positron [19]. After the free pair production, the captured electron is described as a bound state with the Darwin wave function.…”

“…For this, we added the correction term Ψ ′ to the electron wave function known as the Sommerfeld-Maue wave function. For the bound positron, we used the Darwin wave function as in our previous work [19]. We applied the same procedure for the calculation of antihydrogen production cross section with correction terms.…”