Electromagnetic Heavy Lepton Pair Production in Relativistic Heavy-Ion Collisions

TL;DR

This paper calculates electromagnetic muon and tauon pair production cross sections in ultra-relativistic heavy-ion collisions, emphasizing the importance of nuclear form factors and neutron distribution effects on these processes.

Contribution

It introduces the use of Fourier transforms of the Wood-Saxon distribution to analyze neutron distribution effects on heavy lepton pair production cross sections.

Findings

Cross sections are sensitive to the nuclear radius parameter R.

Neutron distribution differences significantly affect the production cross sections.

Wood-Saxon distribution parameters influence the accuracy of the calculations.

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 [1] 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 Wood-Saxon distribution function is more sensitive to the parameter R compare to the parameter a.