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@PHDTHESIS{Otto:276667,
author = {Otto, Jan-Hendrik},
othercontributors = {Höhne, Claudia},
title = {{D}ielectron reconstruction in {A}g+{A}g collisions at
$\sqrt{s_{{NN}}}$ = 2.55 {G}e{V} with {HADES}},
school = {Justus Liebig University Giessen},
type = {Dissertation},
publisher = {Universitätsbibliothek Gießen},
reportid = {GSI-2023-00286},
pages = {224 p.},
year = {2022},
note = {Dissertation, Justus Liebig University Giessen , 2022},
abstract = {The study of strongly interacting matter under extreme
conditions in terms of temperature and pressure has moved
more and more in the focus of high energy physics over the
last decades. These conditions can be created in the
collision of heavy-ions at various facilities around the
world, together covering a broad range of collision energies
starting in the GeV region and ranging up to energies of
several TeV. In order to study the medium created in such
collisions and get an insight in the underlying processes,
dileptons are ideal messengers as they do not interact
strongly and can therefore leave the medium unharmed
carrying their initial properties to the particle detectors.
They thus reveal the thermal conditions and the lifetime of
the medium but also give insights into meson properties at
high densities. One of the experiments dedicated to the
investigation of strongly interacting matter is the High
Acceptance DiElectron Spectrometer (HADES). It is a
versatile detector with particular focus on dielectron
measurements in pion, proton, deuteron and (heavy-)
ion-induced reactions using proton or nucleus targets in the
SIS-18 energy range (1-2 GeV/nucleon). Its excellent
particle identification capabilities also allow for the
investigation of hadronic observables. The analysis of a
high statistics sample of Ag+Ag collisions (4.5 billion
events for 0 - 40 $\%$ centrality) at $sqrt(s_NN)$ = 2.55
GeV measured by HADES is presented with respect to
dielectron production in this work. The recently upgraded
HADES RICH detector leads to an unprecedented quality and
signal-to-background ratio in the detection of these
extremely rare probes. Due to the large number of
reconstructed Cherenkov photons it is possible for the first
time ever, to efficiently identify and reject electrons
produced in conversion processes by a simple count of
measured photons. The obtained dielectron spectrum shows a
signal up to the phi meson mass region and is compared to
simulated hadronic cocktail and nucleon-nucleon reference
spectra revealing a strong contribution from the hot and
dense phase quantified by the dielectron excess ratio
$R_AA.$ The multiplicities of the hadrons are estimated in
an analysis of the decay channels $pi^0/eta$ -> 2 gamma ->
4e and omega -> e+e- in the same data set. The slope of the
in-medium contribution allows for the extraction of the mean
medium temperature. A differential analysis in bins of
centrality enables the study of these observables in
dependence on the system size. Furthermore, a differential
analysis in pair momentum is performed showing a significant
change in the line-shape of the spectrum in the rho-omega
mass region with increasing (transverse) pair-momentum which
suggests a substantial modification of the meson properties
in the medium. Previous HADES measurements of Au+Au
collisions at $sqrt(s_NN)$ = 2.42 GeV and Ar+KCl at
$sqrt(s_NN)$ = 3.18 GeV provide data for comparison and to
study energy and system-size dependence of the obtained
results. In the second part of this work the calculation of
spectral functions with the Functional Renormalization Group
(FRG) including one-loop self-energies in a self consistent
way is presented. Spectral functions are defined as the
imaginary part of the electromagnetic current-current
correlation function and provide direct access to thermal
photon and dilepton rates. The calculations are performed
for the pion and the sigma meson in the O(4) model at
vanishing temperature in the chirally broken phase.
Comparing the results with those from previous analytically
continued FRG calculations, it is demonstrated, how
self-consistency at all momenta fixes the relation between
particle masses and decay thresholds.},
keywords = {ddc:530 (Other)},
cin = {HAD / HADES@GSI},
cid = {I:(DE-Ds200)HAD-20080822OR103 / I:(DE-Ds200)Coll-GSI-HADES},
pnm = {612 - Cosmic Matter in the Laboratory (POF4-612) /
SUC-GSI-Giessen - Strategic university cooperation GSI-U
Gießen (SUC-GSI-GI) / HGS-HIRe - HGS-HIRe for FAIR
(HGS-HIRe)},
pid = {G:(DE-HGF)POF4-612 / G:(DE-Ds200)SUC-GSI-GI /
G:(DE-Ds200)HGS-HIRe},
experiment = {EXP:(DE-Ds200)S477-20200803},
typ = {PUB:(DE-HGF)11},
doi = {10.22029/JLUPUB-7207},
url = {https://repository.gsi.de/record/276667},
}