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Energy dependent kinetic freeze-out temperature and transverse flow velocity in high energy collisions
Transverse momentum spectra of negative and positive pions produced at
mid-(pseudo)rapidity in inelastic or non-single-diffractive proton-proton
collisions and in central nucleus-nucleus collisions over an energy range from
a few GeV to above 10 TeV are analyzed by a (two-component) blast-wave model
with Boltzmann-Gibbs statistics and with Tsallis statistics respectively. The
model results are in similarly well agreement with the experimental data
measured by a few productive collaborations who work at the Heavy Ion
Synchrotron (SIS), Super Proton Synchrotron (SPS), Relativistic Heavy Ion
Collider (RHIC), and Large Hadron Collider (LHC), respectively. The energy
dependent kinetic freeze-out temperature and transverse flow velocity are
obtained and analyzed. Both the quantities have quick increase from the SIS to
SPS, and slight increase or approximate invariability from the top RHIC to LHC.
Around the energy bridge from the SPS to RHIC, the considered quantities in
proton-proton collisions obtained by the blast-wave model with Boltzmann-Gibbs
statistics show more complex energy dependent behavior comparing with the
results in other three cases.Comment: 16 pages, 4 figures. The European Physical Journal A, accepted. arXiv
admin note: text overlap with arXiv:1805.0334
Group manifold approach to higher spin theory
We consider the group manifold approach to higher spin theory. The deformed
local higher spin transformation is realized as the diffeomorphism
transformation in the group manifold . With the suitable rheonomy
condition and the torsion constraint imposed, the unfolded equation can be
obtained from the Bianchi identity, by solving which, fields in
are determined by the multiplet at one point, or equivalently, by
in . Although the
space is extended to to get the geometrical formulation, the
dynamical degrees of freedom are still in . The equations of
motion for are obtained by plugging the rheonomy
condition into the Bianchi identity. The proper rheonomy condition allowing for
the maximum on-shell degrees of freedom is given by Vasiliev equation. We also
discuss the theory with the global higher spin symmetry, which is in parallel
with the WZ model in supersymmetry.Comment: 35 pages,v2: revised version, v3: 38 pages, improved discussion on
global HS symmetry, clarifications added in appendix B, journal versio
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