Estimating inelasticity with the information theory approach

Abstract

Using the information theory approach, in both its extensive and nonextensive versions, we estimate the inelasticity parameter K of hadronic reactions together with its distribution and energy dependence from pp and pp data. We find that the inelasticity remains essentially constant in energy except for a variation around Kϳ0.5, as was originally expected.

The Interacting Gluon Model: a review

“…We also plan to account for the intrinsic fluctuations present in the hadronizing systems. In the usual statistical models this can be done by using the so called nonextensive statistics and, as was shown in [76], it can influence substantially some energy flow results, in particular the estimation of inelasticity K.…”

Non-extensive equilibration in relativistic matter

“…The latter provides a treatment in which, -after some transformations and re-interpretations of the usual thermal quantities, like the temperature, -the usual * E-mail: tsbiro@mail.k i.hu procedures produce non-exponential particle spectra and other deviations from the predictions of the naive thermal models. While in studying spectra stemming from small systems, like + − or and collisions the most characteristic features are related to a restriction in the longitudinal phase space showing in properties of the rapidity distribution N/ and in the occurence of the negative binomial multiplicity distribution [1][2][3][4][5], the transverse momentum distributions rather show an enlarged and possibly more fractally filled phase space [6,7]. There are several speculations on possible causes for such deformations, measured in a summerized way by a parameter used in Tsallis' non-extensive [8][9][10][11][12] entropy formula, or Rényi's extensive one [13].…”

“…For factorizing probabilities, (12) = (1) (2) , it can be mapped to an additive rule for S R = Y (S T ), given as…”

Gluon saturation and leading particle spectra in pp collisions

“…In simple terms, the onset of saturation would be indicated by the onset of quark independent fragmentation for LP production. Moreover, this mechanism of LP production implies a strong energy loss by the valence quarks and the consequent strong enhancement of the energy used to produce secondary particles, the so called inelasticity [11].…”