1,671 research outputs found
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
Computations in formal symplectic geometry and characteristic classes of moduli spaces
We make explicit computations in the formal symplectic geometry of Kontsevich
and determine the Euler characteristics of the three cases, namely commutative,
Lie and associative ones, up to certain weights.From these, we obtain some
non-triviality results in each case. In particular, we determine the integral
Euler characteristics of the outer automorphism groups Out F_n of free groups
for all n <= 10 and prove the existence of plenty of rational cohomology
classes of odd degrees. We also clarify the relationship of the commutative
graph homology with finite type invariants of homology 3-spheres as well as the
leaf cohomology classes for transversely symplectic foliations. Furthermore we
prove the existence of several new non-trivalent graph homology classes of odd
degrees. Based on these computations, we propose a few conjectures and problems
on the graph homology and the characteristic classes of the moduli spaces of
graphs as well as curves.Comment: 33 pages, final version, to appear in Quantum Topolog
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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