P1related

Hadron Formation as a Quantum Mechanical Tunnelling Effect

Reinhard Stock
Johann-Wolfgang-Goethe-University, Institute of Nuclear Physics, Max-von-Laue-Str.1, 60438 Frankfurt

Reinhard Stock

The origin of composite structure in the universe occurs at about 5 microseconds in the cosmological evolution: a phase transition from elementary quarks to composite hadrons, in particular "our familiar" protons and neutrons. We will have a look at the elementary theory of strong interaction, Quantum Chromodynamics (QCD), in order to understand the nature of this structure formation process. Due to the non-abelian colour charge of QCD, single colour carriers have infinite free energy if isolated in vacuum--quarks exhibit a "horror vacui". To confront the falling energy density in the big bang expansion (foreshading dilution toward vacuum density) the initial quark-gluon population has to undergo colour neutralisation, and make a quantum mechanical tunneling transition to neutral, on shell hadrons. Note that at energy density below the "critical" density of QCD, of about 1GeV per cubic Fermi (i.e. 1.6x1018 Kg per cubic meter!) a state of densely packed hadrons and hadronic resonances has lower free energy density than a partonic state. A "confining" phase transition occurs between these states, properties of which having recently been elucidated by ultrarelativistic nucleus-nucleus