Generation of arbitrarily polarized muon pairs via polarized $e^{-}{e}^{+}$ collision

Abstract

Generation of arbitrarily spin polarized muon pairs is investigated via polarized $e^{-}{e}^{+}$ collision. We calculate the fully spin-resolved cross section $\mathrm{d}{\sigma }_{e^{-}{e}^{+}\to {\mu }^{-}{\mu }^{+}}$ and utilize the Monte Carlo method of binary collision to describe the production and polarization processes of muon pairs. We find that, due to the dependence of mixed helicities on the scattering angle, arbitrarily polarized muon pairs with both of the longitudinal and transverse spin components can be produced. The collision of tightly collimated electron and positron beams with highly longitudinal polarization and nC charge can generate about $40\%$ muon pairs with longitudinal polarization and about $60\%$ muon pairs with transverse polarization. The compact high-flux $e^{-}{e}^{+}\to {\mu }^{-}{\mu }^{+}$ muon source could be implemented through the next-generation laser-plasma linear collider, and would be essential to facilitate the investigation of fundamental physics and the measurement technology in broad areas.

References in corpus (11)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• All-optical Compton gamma-ray source
• Ultrarelativistic electron beam polarization in single-shot interaction with an ultraintense laser pulse
• Production of highly-polarized positrons using polarized electrons at MeV energies
• High efficiency uniform wakefield acceleration of a positron beam using stable asymmetric mode in a hollow channel plasma
• Nuclear structure effects in light muonic atoms
• Polarized proton acceleration in ultra-intense laser interaction with near critical density plasmas
• CP-violating Higgs boson mixing in chargino production at the muon collider
• Energetic spin-polarized proton beams from two-stage coherent acceleration in laser-driven plasma
• Signatures of linear Breit-Wheeler pair production in polarized $\gamma \gamma$ collisions
• Trapping and acceleration of spin-polarized positrons from $\gamma$ photon splitting in wakefields

Cited by in corpus (1)

• Angle-dependent pair production in the polarized two-photon Breit-Wheeler process