41 research outputs found
Oscillations in counting statistics
The very large transverse momenta and large multiplicities available in
present LHC experiments on pp collisions allow a much closer look at the
corresponding distributions. Some time ago we discussed a possible physical
meaning of apparent log-periodic oscillations showing up in p_T distributions
(suggesting that the exponent of the observed power-like behavior is complex).
In this talk we concentrate on another example of oscillations, this time
connected with multiplicity distributions P(N). We argue that some combinations
of the experimentally measured values of P(N) (satisfying the recurrence
relations used in the description of cascade-stochastic processes in quantum
optics) exhibit distinct oscillatory behavior, not observed in the usual
Negative Binomial Distributions used to fit data. These oscillations provide
yet another example of oscillations seen in counting statistics in many
different, apparently very disparate branches of physics further demonstrating
the universality of this phenomenon.Comment: Invited talk at ISMD2016, Seogwipo, Jeju Island, South Korea,
29.08-02.09.2016, to be published in EPJ Web of Conference
Tsallis statistics approach to the transverse momentum distributions in p-p collisions
Transverse momentum distributions of negatively charged pions produced in p-p
interactions at beam momenta 20, 31, 40, 80 and 158 GeV/c are studied using the
Tsallis distribution as a parametrization. Results are compared with higher
energies data and changes of parameters with energy are determined. Different
Tsallis-like distributions are compared.Comment: 6 pages, 9 figure
Sound waves in hadronic matter
We argue that recent high energy CERN LHC experiments on transverse momenta
distributions of produced particles provide us new, so far unnoticed and not
fully appreciated, information on the underlying production processes. To this
end we concentrate on the small (but persistent) log-periodic oscillations
decorating the observed spectra and visible in the measured ratios . Because such
spectra are described by quasi-power-like formulas characterised by two
parameters: the power index and scale parameter (usually identified
with temperature ), the observed log-periodic behaviour of the ratios
can originate either from suitable modifications of or (or both, but
such a possibility is not discussed). In the first case becomes a complex
number and this can be related to scale invariance in the system, in the second
the scale parameter exhibits itself log-periodic oscillations which can be
interpreted as the presence of some kind of sound waves forming in the
collision system during the collision process, the wave number of which has a
so-called self similar solution of the second kind. Because the first case was
already widely discussed we concentrate on the second one and on its possible
experimental consequences.Comment: 10 pages, 4 figures. Presented at the XLVII International Symposium
on Multiparticle Dynamics (ISMD2017) held in Tlaxcala City, Mexico, during
September 11-15, 201
Tsallis Distribution Decorated With Log-Periodic Oscillation
In many situations, in all branches of physics, one encounters power-like
behavior of some variables which are best described by a Tsallis distribution
characterized by a nonextensivity parameter and scale parameter .
However, there exist experimental results which can be described only by a
Tsallis distributions which are additionally decorated by some log-periodic
oscillating factor. We argue that such a factor can originate from allowing for
a complex nonextensivity parameter . The possible information conveyed by
such an approach (like the occurrence of complex heat capacity, the notion of
complex probability or complex multiplicative noise) will also be discussed.Comment: 17 pages, 1 figure. The content of this article was presented by Z.
Wlodarczyk at the SigmaPhi2014 conference at Rhodes, Greece, 7-11 July 2014.
To be published in Entropy (2015
Self-similarity in jet events following from p-p collisions at LHC
Using a Tsallis nonextensive approach, we simultaneously analyze recent data
obtained by the LHC ATLAS experiment on distributions of transverse momenta of
jets, p_T^{jet}, together with distributions of transverse momenta of particles
produced within these jets (defined relative to the jet's axis), p_T^{rel}, and
their multiplicity distributions, P(N). The respective nonextensivity
parameters for distributions of jets, q_{jet}, for distributions of particles
in jets, q_{rel} and the global nonextensivity parameter obtained from P(N),
q_N, were then compared with nonextensivity parameters q obtained from minimum
bias pp collisions at energies corresponding to the energies of these jets. The
values of the corresponding nonextensivity parameters were found to be similar,
strongly indicating the existence of a common mechanism behind all these
processes. We tentatively identify this as a self-similarity property known to
be present there and resulting in Tsallis type distributions. If confirmed,
this would considerably strengthen the nonextensive Tsallis approach.Comment: 7 pages, 5 figures; to be published in Phys. Lett.
Muon bundles from extensive air showers
In this talk we present a possible explanation of the presence of high muon
multiplicity events registered recenty by CERN ALICE experiment in its
dedicated cosmic ray run.Comment: 4 pages, 2 figures. Contribution to the XLVI International Symposium
on Multiparticle Dynamic