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Abstract
We calculate the cross sections of electromagnetic productions of muon- and tauon-pair productions from the ultra-relativistic heavy ion collisions. Since the Compton wavelengths of muon and tauon are comparable to the radius of the colliding ions, nuclear form factors play important roles for calculating the cross sections. Recent measurement (Abrahamyan et al., Phys Rev Lett 108:112502, 2012) indicates that the neutrons are differently distributed from the protons; therefore this affects the cross section of the heavy-lepton pair production. In order to see the effects of the neutron distributions in the nucleus, we used analytical expression of the Fourier transforms of the Wood–Saxon distribution. Cross section calculations show that the Wood–Saxon distribution function is more sensitive to the parameter R compared to the parameter a.
Highlights
Colliding beams of heavy ions at energies per nucleon in the range 102–104 GeV, corresponding to the Relativistic heavy-ion collider (RHIC) experiments at Brookhaven, and LHC at CERN, suggested that intense electromagnetic fields of these ions can produce relatively large fluxes of muons and tauons
We investigate the contribution of the Wood– Saxon nuclear form factors on the heavy-lepton pair production
Even though electronpair production is not strongly affected by the form factors, the calculations show that nuclear form factors play important role for the muon- and tauon-pair production
Summary
Colliding beams of heavy ions at energies per nucleon in the range 102–104 GeV, corresponding to the RHIC experiments at Brookhaven, and LHC at CERN, suggested that intense electromagnetic fields of these ions can produce relatively large fluxes of muons and tauons. Since the Compton wavelengths of muons and tauons are smaller than the radius of the colliding heavy ions (Au, Pb), the nucleon [1] and nucleus form factors are not negligible. Realistic charge form factors play important roles for calculating the cross sections of the heavy-lepton pair productions. The difference between the distributions of protons and neutrons in the nucleus affects the cross section of the heavy-lepton pair production. We have modified the equations by including the electromagnetic form factors of nuclei in the momentum space. We consider the coherent production of heavy-lepton pairs in two-photon limit for the symmetric collision of two gold nuclei at RHIC and two lead nuclei at LHC energies.
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