# Presentation: 846368

## S   C   O   T   T

**S   C   O   T   T**

**P**
**R**
**A**
**T**

**M**
** ****I**
**C**
**H**
** ****I**
**G**
**A**
**N**

**S   T        T   E**

**U   N   I    V   E   R   S    I    T   Y**

**F   E   M  T        S   C   O   P   Y**

**T   H**

**B**
**T**

**P**
**U**
**ZZ**
**L**
**E  **

**A   N   D**

**OVERV**
**I**
**E**
**W**

## CONCLUSIONS

- High-Quality Detailed Measurements
- Flash and Fizzle Decoupling
- HBT Volumes -> Entropy
- Puzzle: Increasing Rside/Rout/long25%
- Viscosity, Inflation and Tsunamis Help Explain HBT Puzzle

## What does HBT measure?

- Determines Shape of f(p,r,t)

## HBT Basics

## High-Quality Data

## High-Quality Data

- (See talks of P.Chung and P.Danielewicz)"fizzle" accounts for 30% (resonances + rescattering)T.Csorgo and T.Humanic

- HBT wrt reaction plane

- NA49

## High Quality Data

-  correlations

-  

-  

- 

-  

- p

-  p

- K0

- K-

- K+

- -

- +

- 

- 

- 

- 

- p

- p

- K0S

- K-

- K+

- -

- +

- 

- 

- 

- 

- 

- 

- 

- -

- -

- 

- 

- 

- 

- 

- 

- -

- 

- 

- 

- 

- 

- 

- 

- 

- 

- 

- 

- 

- 

- 

- 

- 

**STAR HBT MATRIX**
****** ******** ****prelim or final result available**

## Blast-Wave Models

- R

- vz=z/

- Vx=V(r/R)

- Parameters: T, R, V , , 

- Schnedermann, Sollfrank and Heinz
- Tomasik, Broniowski,
- Lisa and Retiere,
- ...

## Blast-Wave and the HBT Puzzle

- Parameters:
- T  110 MeV
- R  11 fm
- V  0.7*c*
-   9 fm/*c *
-   3 fm/*c *

- Similar Conclusions:
- Blast Waves (Lisa-Retiere, Tomasik)
- Therminator
- Buda-Lund

- Rapid expansionflash and fizzle

## HYDRO / MICRO

- Sizes depend on EOS/breakup criteria
- ...

## Trouble with Shape

- Rout/Rside too large by 25%

- URQMD M.Bleicher

## HBT and EoS: Entropy

## HBT and EoS:Entropy

-  <f> increases with s1/2
-  gives entropy for pions
-  *R*inv and spectra for other species gives total *S*

## Is Lattice Eq. of State excluded?

- Subrata Pal and S.P., PLB 2004

## Total Entropy and the lattice EOS

- Consistent with lattice EOS (Crude)
- Related to product RoutRlongRside

## The HBT puzzle

- Models that fit overall volume (fit entropy)underpredict Rside

## Explanations to the HBT Puzzle

- Refraction (Cramer-Miller, 2005)- Requires very strong mean field
- Surface Emission (Heiselberg, 2002)- What happened to energy in center?
- Initial transverse velocity (Sinyukov, 2007)- Cause ???
- Super-Cooling (Csorgo&Csernai, hep-th/9312230)

- Needed: Explanation with consistent dynamical model

## Better explaining Rlong

- Accelerationless models underestimate lifetime by 5-10%

- Bjorken

- Inflation(S.P. PRC 2007)

## Better explaining Rlong

- Relativistic Gas:

- Classical Longitudinal Fields:

- CGC (Krasnitz, Nara &Venugopalan) :

- Navier Stokes:

**Shear viscosity gives initial push****(D.Teaney, U.Heinz, P.Romatschke)**

## Tsunamis at RHIC

- See also nuclear doughnuts(Bauer and Bertsch, PRL '90)

## Smooth-Cell Hydro, T.Kodama

## Smooth-Cell Hydro, T.Kodama

## Smooth-Cell Hydro, T.Kodama

## Smooth-Cell Hydro, T.Kodama

## Smooth-Cell Hydro, T.Kodama

## Smooth-Cell Hydro, T.Kodama

## Smooth-Cell Hydro, T.Kodama

## Smooth-Cell Hydro, T.Kodama

## Modeling Tsunamis with Hydrodynamics

- 

- P

- 

- H

- L

- Increasing L or decreasing c2mixed -> stronger tsunami

- Resonance Gas

## Bulk Viscosity in Mixed Region

- K.Paech and S.P., PRC 2006

- 

- P

- -> Significant strengthening of tsunami

## Bulk Viscosity in Mixed Phase Region

- K.Paech & S.P. (2006)
- Kharzeev and Tuchin (2007)

- Mean fields can not stay equilibrated near Tc

## Tsunamis at RHIC

- "hard", L=500 MeV/fm3 c2=0.15, B/s=0

- "soft", L=2 GeV/fm3 c2=0.05, B/s=1

- Can lower Rout/Rside by 25%

## CONCLUSIONS

- High-Quality Detailed Measurements
- Flash and Fizzle Decoupling
- HBT Volumes -> Entropy
- Puzzle: Increasing Rside/Rout/long25%
- Viscosity, Inflation and Tsunamis Help Explain HBT Puzzle