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Title: Hydrodynamic fluctuations near a critical endpoint and Hanbury-Brown–Twiss interferometry

Authors:
;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1352979
Grant/Contract Number:
FG02-87ER40328
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 4; Related Information: CHORUS Timestamp: 2017-04-24 22:11:10; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Plumberg, Christopher, and Kapusta, Joseph I. Hydrodynamic fluctuations near a critical endpoint and Hanbury-Brown–Twiss interferometry. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.95.044910.
Plumberg, Christopher, & Kapusta, Joseph I. Hydrodynamic fluctuations near a critical endpoint and Hanbury-Brown–Twiss interferometry. United States. doi:10.1103/PhysRevC.95.044910.
Plumberg, Christopher, and Kapusta, Joseph I. 2017. "Hydrodynamic fluctuations near a critical endpoint and Hanbury-Brown–Twiss interferometry". United States. doi:10.1103/PhysRevC.95.044910.
@article{osti_1352979,
title = {Hydrodynamic fluctuations near a critical endpoint and Hanbury-Brown–Twiss interferometry},
author = {Plumberg, Christopher and Kapusta, Joseph I.},
abstractNote = {},
doi = {10.1103/PhysRevC.95.044910},
journal = {Physical Review C},
number = 4,
volume = 95,
place = {United States},
year = 2017,
month = 4
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on April 24, 2018
Publisher's Accepted Manuscript

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  • We present the results of a systematic study of the shape of the pion distribution in coordinate space at freeze-out in Au+Au collisions at RHIC using two-pion Hanbury Brown-Twiss (HBT) interferometry. Oscillations of the extracted HBT radii vs. emission angle indicate sources elongated perpendicular to the reaction plane. The results indicate that the pressure and expansion time of the collision system are not sufficient to completely quench its initial shape.
  • In Hanbury-Brown-Twiss interferometry measurements using identical bosons, the chaoticity parameter {\lambda} has been introduced phenomenologically to represent the momentum correlation function at zero relative momentum. It is useful to study an exactly solvable problem in which the {\lambda} parameter and its dependence on the coherence properties of the boson system can be worked out in great detail. We are therefore motivated to study the state of a gas of noninteracting identical bosons at various temperatures held together in a harmonic oscillator potential that arises either externally or from bosons' own mean fields. We determine the degree of Bose-Einstein condensation andmore » its momentum correlation function as a function of the attributes of the boson environment. The parameter {\lambda} can then be evaluated from the momentum correlation function. We find that the {\lambda(p,T)} parameter is a sensitive function of both the average pair momentum p and the temperature T, and the occurrence of {\lambda =1} is not a consistent measure of the absence of a coherent condensate fraction. In particular, for large values of p, the {\lambda} parameter attains the value of unity even for significantly coherent systems with large condensate fractions. We find that if a pion system maintains a static equilibrium within its mean field, and if it contains a root-mean-squared radius, a pion number, and a temperature typical of those in high-energy heavy-ion collisions, then it will contain a large fraction of the Bose-Einstein pion condensate.« less
  • In many simulations of high-energy heavy-ion collisions on an event-by-event analysis, it is known that the initial energy density distribution in the transverse plane is highly fluctuating. Subsequent longitudinal expansion will lead to many longitudinal tubes of quark-gluon plasma that have tendencies to break up into many spherical droplets because of sausage instabilities. We are therefore motivated to use a model of quark-gluon plasma granular droplets that evolve hydrodynamically to investigate pion elliptic flows and Hanbury-Brown-Twiss (HBT) interferometry. We find that the data of pion transverse momentum spectra, elliptic flows, and HBT radii in {radical}(s{sub NN})=200 GeV Au+Au collisions atmore » the BNL Relativistic Heavy Ion Collider can be described well by an expanding source of granular droplets with an anisotropic velocity distribution.« less
  • In Hanbury-Brown-Twiss interferometry measurements using identical bosons, the chaoticity parameter {lambda} has been introduced phenomenologically to represent the momentum correlation function at zero relative momentum. It is useful to study an exactly solvable problem in which the {lambda} parameter and its dependence on the coherence properties of the boson system can be worked out in great detail. We are therefore motivated to study the state of a gas of noninteracting identical bosons at various temperatures held together in a harmonic oscillator potential that arises either externally or from bosons' own mean fields. We determine the degree of Bose-Einstein condensation andmore » its momentum correlation function as a function of the attributes of the boson environment. The parameter {lambda} can then be evaluated from the momentum correlation function. We find that the {lambda}(p,T) parameter is a sensitive function of both the average pair momentum p and the temperature T, and the occurrence of {lambda}=1 is not a consistent measure of the absence of a coherent condensate fraction. In particular, for large values of p, the {lambda} parameter attains the value of unity even for significantly coherent systems with large condensate fractions. We find that if a pion system maintains a static equilibrium within its mean field, and if it contains a root-mean-squared radius, a pion number, and a temperature typical of those in high-energy heavy-ion collisions, then it will contain a large fraction of the Bose-Einstein pion condensate.« less
  • In the late stage of the evolution of a pion system in high-energy heavy-ion collisions when pions undergo multiple scatterings, the quantum transport of the interfering pair of identical pions plays an important role in determining the characteristics of the Hanbury-Brown-Twiss (HBT) interference. We study the quantum transport of the interfering pair using the path-integral method, in which the evolution of the bulk matter is described by relativistic hydrodynamics while the paths of the two interfering pions by test particles following the fluid positions and velocity fields. We investigate in addition the effects of secondary pion sources from particle decays,more » for nuclear collisions at AGS and RHIC energies. We find that quantum transport of the interfering pair leads to HBT radii close to those for the chemical freeze-out configuration. Particle decays however lead to HBT radii greater than those for the chemical freeze-out configuration. As a consequence, the combined effects give rise to HBT radii between those extracted from the chemical freeze-out configuration and the thermal freeze-out configuration. Proper quantum treatments of the interfering pairs in HBT calculations at the pion multiple scattering stage are important for our understanding of the characteristics of HBT interferometry in heavy-ion collisions.« less