Kinetic Description of Hadron–hadron Collisions

Abstract

A transport model based on the mean free path approach to describe pp collisions is proposed. We assume that hadrons can be treated as bags of partons similarly to the MIT bag model. When the energy density in the collision is higher than a critical value, the bags break and partons are liberated. The partons expand and can coalesce to form new hadrons. The results obtained compare very well with available data, and some predictions for higher energies collisions are discussed. Based on the model we suggest that a QGP could already be formed in pp collisions at high energies.

Can a Higgs boson be produced at the LHC?

“…Now it is very straightforward to calculate the probability for producing Higgs bosons in pp collisions by comparing the local energy density in a collision with the minimum energy density ε H for Higgs production. Let ε(r) be the local energy density at the position where the relative distance between the colliding pair is r, the same definition as in the previous work [9][10][11]…”

“…( 9), and Eqs. (10,11) imply that the colliding particles should be close enough to make sufficient high energy density and center-of-mass energy to produce a Higgs boson. For the probable mass of the Higgs boson, we take m H = 140 GeV as a test, which is in the mass range of the CDF and D0 Collaborations [4].…”

“…Denote P (r) as the probability of the collising protons to reach the distance r without a collision. Inspired by the works [9][10][11], we build a simple model to simulate P (r) for proton-proton collision at the LHC. Normally the protons can participate in some interactions and generate new particles.…”

“…In Eq. ( 13), ρ = 2/(4/3πr 3 ) is the local particle number density defined the same way as in [9][10][11], and v is the relative velocity between the colliding protons.…”

“…When the colliding protons reach the distance r and a collision happens, but they do not satisfy Eqs. (10,11), the evolution will be terminated and we count one event for colliding protons reaching the distance r. If Eqs. (10,11) are fulfilled we count one event for producing one Higgs boson.…”