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The creation of an electron-positron pair in the collision of two realphotons, namely the linear Breit-Wheeler process, has never been detecteddirectly in the laboratory since its prediction in 1934 despite its fundamentalimportance in quantum electrodynamics and astrophysics. In the last few years,several experimental setup have been proposed to observe this process in thelaboratory, relying either on thermal radiation, Bremsstrahlung, linear ormultiphoton inverse Compton scattering photons sources created by lasers or bythe mean of a lepton collider coupled with lasers. In these propositions, theinfluence of the photons' energy distribution on the total number of producedpairs has been taken into account with an analytical model only for two ofthese cases. We hereafter develop a general and original, semi-analytical modelto estimate the influence of the photons energy distribution on the totalnumber of pairs produced by the collision of two such photon beams, and giveoptimum energy parameters for some of the proposed experimental configurations.Our results shows that the production of optimum Bremsstrahlung and linearinverse Compton sources are, only from energy distribution considerations,already reachable in today's facilities. Despite its less interesting energydistribution features for the LBW pair production, the photon sources generatedvia multiphoton inverse Compton scattering by the propagation of a laser in amicro-channel can also be interesting, thank to the high collision luminositythat could eventually be reached by such configurations. These results thengives important insights for the design of experiments intended to detectlinear Breit-Wheeler produced positrons in the laboratory for the first time.

Electron-positron pair production in the collision of real photon beams with wide energy distributions