9 research outputs found
Three-dimensional Statistical Jet Fragmentation
We reproduce the distribution of the longitudinal and transverse components
of momenta of charged hadrons stemming from jets created in proton-proton
collisions at s^1/2 = 7 TeV by a statistical fragmentation model. Our
hadronization model is based on microcanonical statistics and negative binomial
multiplicity fluctuations. We describe the scale dependence of the fit
parameters of the model with formulas obtained by approximating the exact
solution of the DGLAP equation in the phi^3 theory with leading order splitting
function and 1-loop coupling.Comment: conference "XXIV International Workshop on Deep-Inelastic Scattering
and Related Subjects, 11-15 April, 2016, DESY Hamburg, Germany". Here, we
present the application of our model to jets stemming from proton-proton
collisions. A detailed discussion of this model can be found in
arXiv:1606.03208, where we analyze jets from positron-proton scattering
Long-range Correlations in Massive Jets
We calculate the azimuthal anisotropy extracted from the large region of two particle correlations in a two-jet
system, in which, the masses of the jets are not negligible compared to their
energies. As the virtualities of the leading partons, initiating these jets are
not negligible either, we use a recently developed, off-shell fragmentation
model for the description of hadron production in the jets. We present the
effect of the variation of jet mass and hadron multiplicity on the shape of the
curve, and reproduce the low-multiplicity data set measured in
proton-proton collisions at TeV.Comment: XXVII International Workshop on Deep-Inelastic Scattering and Related
Subjects - DIS2019, 8-12 April, 2019, Torino, Ital
Non-Extensive Approach to Quark Matter
We review the idea of generating non-extensive stationary distributions based
on abstract composition rules for the subsystem energies, in particular the
relativistic generalized Boltzmann equation method. The thermodynamical
behavior of such systems is investigated and hadron spectra stemming from
relativistic heavy ion collisions are calculated by assuming quark coalescence.Comment: Review prepared for The European Physical Journal A - Hadrons and
Nuclei, as part of a review block about applications of non-extensive
thermodynamics in high-energy phenomen
Statistical Power Law due to Reservoir Fluctuations and the Universal Thermostat Independence Principle
Certain fluctuations in particle number at fixed total energy lead exactly to
a cut-power law distribution in the one-particle energy, via the induced
fluctuations in the phase-space volume ratio. The temperature parameter is
expressed automatically by an equipartition relation, while the q-parameter is
related to the scaled variance and to the expectation value of the particle
number. For the binomial distribution q is smaller, for the negative binomial q
is larger than one. These results also represent an approximation for general
particle number distributions in the reservoir up to second order in the
canonical expansion. For general systems the average phase-space volume ratio
expanded to second order delivers a q parameter related to the heat capacity
and to the variance of the temperature. However, q differing from one leads to
non-additivity of the Boltzmann-Gibbs entropy. We demonstrate that a deformed
entropy, K(S), can be constructed and used for demanding additivity. This
requirement leads to a second order differential equation for K(S). Finally,
the generalized q-entropy formula contains the Tsallis, Renyi and
Boltzmann-Gibbs-Shannon expressions as particular cases. For diverging
temperature variance we obtain a novel entropy formula.Comment: Talk given by T.S.Biro at Sigma Phi 2014, Rhodos, Greec
Pion Production Via Resonance Decay in a Non-extensive Quark-Gluon Medium with Non-additive Energy Composition Rule
Resonance production and decay into pion pairs is simulated in a
non-extensive quark matter with multi-particle interactions. Final state pion
spectra are found to take the form of the Tsallis distribution, in accordance
with measurements. It has also been shown that, if a large number of particles
with these multi-particle interactions are constrained to a constant energy
hyper-surface in phase space, the one-particle distribution is the Tsallis
distribution
Scale dependence of the
The dependence of the q and T parameters of the Tsallis-distribution-shaped fragmentation function (FF) on the fragmentation scale (found to be equal to the jet mass) is calculated via the resummation of the branching process of jet fragmentation in the leading-log appriximation (LLA) in the theory. Jet and hadron spectra in electron-positron () annihilations with 2- and 3-jet final states are calculated using virtual leading partons. It is found that jets, produced earlier in the branching process, are more energetic, and the energy, angle and multiplicity distributions of hadrons stemming from them are broader. It is also found that replacing the LL resummation in the branching process by a single splitting provides good approximation for the jet energy distribution in 2-jet events. Furthermore, a micro-canonical statistical event generator is presented for the event-by-event calculation of hadron momenta in annihilations