Initial conditions and space time scales in relativistic heavy ion collisions
This presentation is the property of its rightful owner.
Sponsored Links
1 / 24

Initial conditions and space-time scales in relativistic heavy ion collisions PowerPoint PPT Presentation


  • 85 Views
  • Uploaded on
  • Presentation posted in: General

Initial conditions and space-time scales in relativistic heavy ion collisions. Yu. Sinyukov, BITP, Kiev (with participation of Yu. Karpenko, S.Akkelin). Expecting Stages of Evolution in Ultrarelativistic A+A collisions. t. “Soft Physics” measurements. A. x. t. Δω K. A.

Download Presentation

Initial conditions and space-time scales in relativistic heavy ion collisions

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Initial conditions and space time scales in relativistic heavy ion collisions

Initial conditions and space-time scales in relativistic heavy ion collisions

Yu. Sinyukov, BITP, Kiev

(with participation of Yu. Karpenko, S.Akkelin)

Heavy Ion Collisions at the LHC

Last Call for Predictions


Expecting stages of evolution in ultrarelativistic a a collisions

Expecting Stages of Evolution in Ultrarelativistic A+A collisions

t

HIC at the LHC

Last Call for Predictions


Soft physics measurements

“Soft Physics” measurements

A

x

t

ΔωK

A

(QS) Correlation function

Space-time structure of the

matter evolution, e.g.,

p=(p1+ p2)/2

q= p1- p2

HIC at the LHC

Last Call for Predictions


Approximately conserved observables

Approximately conserved observables

t

Thermal f.-o.

  • APSD - Phase-space density averaged over

    some hypersurface , where all

    particles are already free and over momen-

    tum at fixed particle rapidity,y=0. (Bertsch)

Chemical. f.-o.

n(p) is single- , n(p1, p2 ) is double (identical) particle spectra,

correlation function is C=n(p1, p2)/n(p1)n(p2)

z

p=(p1+ p2)/2

q= p1- p2

  • APSD is conserved during isentropic and chemically frozen evolution (including a free streaming):

S. Akkelin, Yu.S. Phys.Rev. C 70 064901 (2004):

HIC at the LHC

Last Call for Predictions


Initial conditions and space time scales in relativistic heavy ion collisions

The averaged phase-space density. LHC prediction = 0.2-0.3

Non-hadronic

DoF

Limiting

Hagedorn

Temperature

S. Akkelin, Yu.S: Phys.Rev. C 73, 034908 (2006);

Nucl. Phys. A 774, 647(2006)

HIC at the LHC

Last Call for Predictions


Energy dependence of the interferometry radii

Energy dependence of the interferometry radii

Energy- and kt-dependence of the radii Rlong, Rside, and Rout forcentral Pb+Pb(Au+Au) collisions from AGS to RHICexperiments measurednear midrapidity. S. Kniege et al. (The NA49 Collaboration), J. Phys. G30, S1073 (2004).

HIC at the LHC

Last Call for Predictions


Hbt puzzle

HBT PUZZLE

  • The interferometry volume only slightly increases with collision energy (due to the long-radius growth) for the central collisions of the same nuclei.

    Explanation:

  • only slightly increases and is saturated due to limiting Hagedorn temperature TH =Tc (B = 0).

  • grows with

A is fixed

HIC at the LHC

Last Call for Predictions


Hbt puzzle flows

HBT PUZZLE & FLOWS

  • Possible increase of the interferometry volume with due to geometrical volume grows is mitigated by more intensive transverse flows at higher energies:

    ,  is inverse of temperature

  • Why does the intensity of flow grow?

    More more initial energy density  more (max) pressure pmax

BUT the initial acceleration is ≈ the same

HBT puzzle Intensity of collective flows grow

Time of system expansion grows:

Initial flows (< 1-2 fm/c) develop

HIC at the LHC

Last Call for Predictions


Ro rs ratio and initial flows

Ro/Rs ratio and initial flows

M.Borysova, Yu.S., S.Akkelin, B.Erazmus, Iu.Karpenko,

Phys.Rev. C 73, 024903 (2006)

HIC at the LHC

Last Call for Predictions


Initial conditions and space time scales in relativistic heavy ion collisions

Developing of collective velocities in partonic matter at pre-thermalstage (Gyulassy, Karpenko, Yu.S., Nazarenko, BJP (2007)

  • Distribution function at initial hypersurface 0=1

Venagopulan, 2003, 2005; Kharzeev 2006

  • Equation for partonic free streaming:

  • Solution

HIC at the LHC

Last Call for Predictions


Transverse velocities at

Transverse velocities at:

=1fm/c; Gaussian profile, R=4.3 fm

IC at =0.1 (RHIC) and 0.07(LHC) fm/c for Glasma from T. Lappy (2006)

1st order phase transition

Crossover

HIC at the LHC

Last Call for Predictions


Equation of states

Equation of States

HIC at the LHC

Last Call for Predictions


Freeze out hypersurface for lhc energies

Freeze-out hypersurface for LHC energies

HIC at the LHC

Last Call for Predictions


Yu s akkelin hama phys rev lett 89 052301 2002 karpenko to be published

Yu.S. , Akkelin, Hama: Phys. Rev. Lett. 89 , 052301 (2002); + Karpenko: to be published

Hydro-kinetic approach

  • MODEL

  • is based on relaxation time approximation for relativistic finite expanding system;

  • provides evaluation of escape probabilities and deviations (even strong)

  • of distribution functions [DF] from local equilibrium;

  • 3. accounts for conservation laws at the particle emission;

  • Complete algorithm includes:

  • solution of equations of ideal hydro;

  • calculation of non-equilibrium DF and emission function in first approximation;

  • solution of equations for ideal hydro with non-zero left-hand-side that

  • accounts for conservation laws for non-equlibrated process of the system

  • which radiated free particles during expansion;

  • Calculation of “exact” DF and emission function;

  • Evaluation of spectra and correlations.

Is related to local

*

HIC at the LHC

Last Call for Predictions


Emission at rhic top energy

Emission at RHIC top energy

  • EXTRA SLIDES

HIC at the LHC

Last Call for Predictions


Emission at lhc energy sqrt s 5 5 tev

Emission at LHC energy Sqrt(s) = 5.5 TeV

HIC at the LHC

Last Call for Predictions


Emission function at large p t

Emission function at large pT

HIC at the LHC

Last Call for Predictions


Transv spectra of pions blue line is prediction

Transv. spectra of pions (blue line is prediction)

HIC at the LHC

Last Call for Predictions


Long radii for pions blue line is prediction

Long –radii for pions(blue line is prediction)

HIC at the LHC

Last Call for Predictions


Side radii for pions blue line is prediction

Side- radii for pions(blue line is prediction)

HIC at the LHC

Last Call for Predictions


Out radii for pions blue line is prediction

Out –radii for pions(blue line is prediction)

HIC at the LHC

Last Call for Predictions


Out to side ratio for pions blue line is prediction

Out-to-Side ratio for pions (blue line is prediction)

HIC at the LHC

Last Call for Predictions


Conclusions

Conclusions

  • The relatively small increase of interferometry radii with energy, as compare with expectations, are caused by

  • increase of transverse flow due to longer expansion time;

  • developing of initial flows at early pre-thermal stage;

  • more hard transition EoS, corresponding to cross-over;

  • non-flat initial (energy) density distributions, similar to Gaussan;

  • early (as compare to CF-prescription) emission of hadrons, because

    escape probability account for whole particle trajectory in rapidly expanding surrounding (no mean-free pass criterion for freeze-out)

  • The hydrokinetic approach to A+A collisions is proposed. It allows one to describe the continuous particle emission from a hot and dense finite system, expanding hydrodynamically into vacuum, in the way which is consistent with Boltzmann equations and conservation laws, and accounts also for the opacity effects.

HIC at the LHC

Last Call for Predictions


Ccccccccccccccccccccccccccccccccc

ccccccccccccccccccccccccccccccccc

HIC at the LHC

Last Call for Predictions


  • Login