60 research outputs found
Unified Analyses of Multiplicity Distributions and Bose-Einstein Correlations at the LHC using Double-Stochastic Distributions
We analyze data on multiplicity distributions (MD) at Large Hadron Collider
(LHC) energies using a double-negative binomial distribution (D-NBD) and
double-generalized Glauber-Lachs formula (D-GGL). Moreover, we investigate the
Bose-Einstein correlation (BEC) formulas based on these distributions and
analyze the BEC data using the parameters obtained by analysis of MDs. From
these analyses it can be inferred that the D-GGL formula performs as
effectively as the D-NBD. Moreover, our results show that the parameters
estimated in MD are related to those contained in the BEC formula.Comment: 8th International Conference on Quarks and Nuclear Physics, To be
appeared in JPS Conf. Proc. (2019
Analyses of multiplicity distributions and Bose-Einstein correlations at the LHC using negative binomial distribution and generalized Glauber-Lachs formula
This study aims to analyze the data on multiplicity distributions and
Bose-Einstein correlations collected at the LHC by the ATLAS and CMS
Collaborations using a double-generalized Glauber-Lachs formula (D-GGL) and
double-negative binomial distribution (D-NBD). From this investigation, it can
be inferred that the D-GGL formula performs as effectively as the D-NBD.
Moreover, our results show that the parameters estimated in multiplicity
distributions (MD) (P(n)) are related to those contained in the BEC formula
Monte Carlo Study on Distortion of the Space-Dimension in COBE Monopole Data
A concise explanation of studies on distortion of space-time dimension is
briefly introduced. Second we obtain the limits (i.e., bounded values) of the
dimensionless chemical potential , the Sunyaev--Zeldovich (SZ) effect y
and distortion of the space-dimension by Monte Carlo (MC)
analysis of the parameter set (T, , , and ) in cosmic
microwave data assuming that the SZ effect is positive (y>0). In this analysis,
the magnitude of the space-dimension d with distortion of the space-dimension
is defined by . The limits of and are
determined as ) ()), ) ()), while the distortion of the space-dimension is
) ()). The magnitudes of these three estimated limits
are ordered as . The estimated limit of appears to be related to re-ionization processes occurring at
redshift . We also present data analysis assuming a relativistic
SZ effect.Comment: Accepted for publication in Astrophysics and Space Scienc
Analysis of residual spectra and the monopole spectrum for 3 K blackbody radiation by means of non-extensive thermostatistics
We analyze residual spectra of 3 K blackbody radiation (CMB) using
non-extensive thermostatistics with a parameter q-1. The limits of
|q-1|<1.2x10^{-5} and the temperature fluctuation |delta T|<(1.6-4.3)x10^{-5}
are smaller than those by Tsallis et al. Moreover, analyzing the monopole
spectrum by a formula including the chemical potential mu, we obtain the limits
|q-1|<2.3x10^{-5} and |mu|<1.6x10^{-4}. |q-1| is comparable with the
Sunyaev-Zeldovich effect y
Analyses of third order Bose-Einstein correlation by means of Coulomb wave function
In order to include a correction by the Coulomb interaction in Bose-Einstein
correlations (BEC), the wave function for the Coulomb scattering were
introduced in the quantum optical approach to BEC in the previous work. If we
formulate the amplitude written by Coulomb wave functions according to the
diagram for BEC in the plane wave formulation, the formula for BEC
becomes simpler than that of our previous work. We re-analyze the raw data of
BEC by NA44 and STAR Collaborations by this formula. Results are
compared with the previous ones.Comment: 6pages, 5 figures, talk at Workshop on Particle Correlations and
Femtoscopy, Kromeriz, Czech Republic, August 15-17, 200
Analyses of whole transverse momentum distributions in and collisions by using a modified version of Hagedorn's formula
To describe the transverse distribution of charged hadrons at 1.96 TeV
observed by the CDF collaboration, we propose a formula with two component,
namely, hadron gas distributions and inverse power laws. The data collected at
0.9, 2.76, 7, and 13 TeV by the ALICE, CMS, and ATLAS collaborations are also
analyzed using various models including single component models as well as two
component models. The results by using modified version of Hagedorn's formula
are compared with those by using the two component model proposed by Bylinkin,
Rostovtsev and Ryskin (BRR). Moreover, we show that there is an interesting
interrelation among our the modified version of Hagedorn's formula, a formula
proposed by ATLAS collaboration, and the BRR formula
An analytic relation between the fractional parameter in the Mittag-Leffler function and the chemical potential in the Bose-Einstein distribution through the analysis of the NASA COBE monopole data
To extend the Bose-Einstein (BE) distribution to fractional order, we turn
our attention to the differential equation, . It is satisfied
with the stationary solution, , of the Kompaneets
equation, where is the constant chemical potential. Setting , we
obtain a linear differential equation for . Then, the Caputo fractional
derivative of order () is introduced in place of the derivative of
, and fractional BE distribution is obtained, where function is
replaced by the Mittag-Leffler (ML) function . Using the integral
representation of the ML function, we obtain a new formula. Based on the
analysis of the NASA COBE monopole data, an identity is
found.Comment: To be published in the proceeding of 6th Internal conference on
mathematical modeling in physical science
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