High-energy photons propagating through space can convert into electron-positron pairs by scattering with cosmic microwave background (CMB) photons. Taking the average CMB temperature of 2.8 K, a typical CMB photon will have an energy of roughly 7 x 10-4 eV. Calculate the minimum energy required for the high-energy photon to produce an electron-positron pair (me = 511 keV) if a. the CMB photon momentum is perpendicular to that of the high-energy photon ¹: I chose the light-by-light scattering because the kinematics are algebraically simpler for zero masses. But hopefully you also find the subject of interest. Light-by-light scattering has been studied in the lab for many years using high-intensity laser light scattering off (virtual) photons in the electric field of electrons. However, the first observation of the scattering of two real, high-energy photons was done by my experiment (ATLAS) at the LHC for the first time in 2019. The fact that the measurement uses nuclear collisions with the initial-state photons being associated with the electric field of the nucleus connects to physics that we will discuss this semester.
High-energy photons propagating through space can convert into electron-positron pairs by scattering with cosmic microwave background (CMB) photons. Taking the average CMB temperature of 2.8 K, a typical CMB photon will have an energy of roughly 7 x 10-4 eV. Calculate the minimum energy required for the high-energy photon to produce an electron-positron pair (me = 511 keV) if a. the CMB photon momentum is perpendicular to that of the high-energy photon ¹: I chose the light-by-light scattering because the kinematics are algebraically simpler for zero masses. But hopefully you also find the subject of interest. Light-by-light scattering has been studied in the lab for many years using high-intensity laser light scattering off (virtual) photons in the electric field of electrons. However, the first observation of the scattering of two real, high-energy photons was done by my experiment (ATLAS) at the LHC for the first time in 2019. The fact that the measurement uses nuclear collisions with the initial-state photons being associated with the electric field of the nucleus connects to physics that we will discuss this semester.
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