Measurement of the average life time associated with the nuclear capture of negative muons in Fe.

This experiment was conducted during the Nuclear and Subnuclear Laboratory at the University of Calabria in the academic year 2021-22. Once negative muons have been reduced at the rest state in a material medium, they have a great chance of being captured by the atom forming a mu-mesic atom. Due to its high mass with respect the electron one, the muon will move around the nucleus with a radius 200 times smaller than that of the electron. If the nucleus has a high number of mass, the muon will spend part of its time inside the nucleus where it can be captured by a proton and give rise to a weak interaction with the production of a neutron and an anti neutrino of the muon . By measuring the time between the arrival of a low-energy muon and the emission of the decay electron, it is possible to extract the average nuclear capture time. A theoretical interpretation of the result obtained is also provided in this communication.