Density Dependence of Condensates
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Density Dependence of Condensates (Medium Modifications of Hadrons). B. Kämpfer. Research Center Dresden-Rossendorf Technical University Dresden. * in preparation. with R. Thomas, Th. Hilger. Hadrons = Excitations of QCD Ground State. QCD ground state (vacuum). n,T .

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Density Dependence of Condensates (Medium Modifications of Hadrons)

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Density dependence of condensates medium modifications of hadrons

Density Dependence of Condensates

(Medium Modifications of Hadrons)

B. Kämpfer

Research Center Dresden-Rossendorf

Technical University Dresden

* in preparation

with R. Thomas, Th. Hilger


Density dependence of condensates medium modifications of hadrons

Hadrons = Excitations of QCD Ground State

QCD ground state (vacuum)

n,T


Density dependence of condensates medium modifications of hadrons

UniversalMaterial Constants of Vacuum?

dil. symm. break.

symm. break. (spont.), o.p.

Condensates,

Monopoles,

Instantons,

Vortices, ...

vacuum

=


Density dependence of condensates medium modifications of hadrons

Medium in

Dilute Gas Approx.


Density dependence of condensates medium modifications of hadrons

Expansion not à la Taylor but Wilson: OPE

Wilson coeff.

quark& gluon

operators

Observables:


Density dependence of condensates medium modifications of hadrons

QCD Sum Rules à la Borel

condensates

Landau damp.

pert. term

Borel

4-quark condensates

(factorization fails)


Density dependence of condensates medium modifications of hadrons

CB-TAPS:

Trnka et al. ´05


Density dependence of condensates medium modifications of hadrons

Zschocke, Pavlenko, BK PLB ´03

also dim-8

contributions

norm. moment

Thomas/Zschocke/BK

PRL ´05

strong density dependence of combined 4-quark conds.:

chirally invariant

otherwise: Landau damping term would push up the mass


Density dependence of condensates medium modifications of hadrons

Book Keeping of 4-Quark Condensates

a la Klingl & Weise

1. flavor-pure

NPA 2007

by Fierz:


Density dependence of condensates medium modifications of hadrons

w/o color (1 ... 10)

w/ color

nucleon:

no inverse

pure flavor conds.:

(1‘ ... 10‘)

componets

not indep.

relations exist between 4-q conds.

(not accurately fulfilled in models)

Tuebingen chiral quark model : approx. fulfilled


Density dependence of condensates medium modifications of hadrons

2. flavor mix

NPA 2007

all together:

vacuum: 2•5 +10 = 20

medium: 2•10+24 = 44

flavor symmetry: 10 (20)


Density dependence of condensates medium modifications of hadrons

4-q cond. = order parameter of chiral symmetry?


Density dependence of condensates medium modifications of hadrons

4-q conds. for nucleon  4-q conds. for V

interpolating current:

Fierz

Joffe: t = -1


Density dependence of condensates medium modifications of hadrons

4-q cond. = order parameter of chiral symmetry?

example: nucleon in vacuum

chirally invariant:

chirally non-invariant:

vacuum: Jido ´96


Density dependence of condensates medium modifications of hadrons

Ansatz:

l.h.s=


Density dependence of condensates medium modifications of hadrons

3 indep. sets of combinations

of 4-q conds. enter


Density dependence of condensates medium modifications of hadrons

phenomenological

point of view


Density dependence of condensates medium modifications of hadrons

Scheinast et al.

PRL 2006

magnifier

2000

2001

D in medium: Weise/Morath, Hayashigaki

expected pattern:

hadron scenario

Lutz, Korpa 2005:

w/o inel.

w/ inel.


Density dependence of condensates medium modifications of hadrons

hadron properties

QCD


Density dependence of condensates medium modifications of hadrons

basic features (Weise,Morath 2001):

Pole + Continuum Ansatz

w/o change of continuum


Density dependence of condensates medium modifications of hadrons

Weise/Morath ... ´99: tiny in-medium effects

Generalis/Broadhurst ´84:

medium resistent

OPE: operator mixing


Density dependence of condensates medium modifications of hadrons

CB-TAPS & Borel QSR:

1.

Conclusions

strong in-medium change of 4q cond.

4q cond. = new order parameter?

2. N: 4q conds. vs. phenomenlogy

3. D:

Sensors for

QCD vaccum

Quantify change of QCD vacuum:

nB, T dependence of material constants

hadron masses  condensates


Density dependence of condensates medium modifications of hadrons

back up slides


Density dependence of condensates medium modifications of hadrons

Limitations of usual QCDSR

even/odd parts:

isolating lowest states

neg. energy


Density dependence of condensates medium modifications of hadrons

Tlab = 25 AGeV

Chem. Freeze-Out

Cleymans-Redlich-Wheaton param.

Fuchs et al.: T > 100 MeV  meson effects

Leupold: 4-q cond. vs. nB, T


Density dependence of condensates medium modifications of hadrons

Spec. Function [GeV^-2]

E [GeV]

1.6

2.0

= center of gravity of

pole ansatz is not appropriate:

D+

Lutz, Korpa

pole

+ continuum

ansatz


Density dependence of condensates medium modifications of hadrons

How to Measure Med.-Mod. of D Mesons?

K-

FAIR: CBM

PANDA

D0

pi+

lesson from K: measure multiplicity of D

Tsushima, Sibirtsev, Friman, Lee,...


Density dependence of condensates medium modifications of hadrons

Mystery of Mass


Density dependence of condensates medium modifications of hadrons

sensitive to medium modifications


Density dependence of condensates medium modifications of hadrons

3. ss sector:

?

strangeness in nucleon?

OZI rule


Density dependence of condensates medium modifications of hadrons

Case of Strangeness: K

2.5 GeV

Au (1 AGeV) + Au

BUU

Uhlig et al. (KaoS) PRL 2005

Scheinast at al. (KaoS) PRL 2006


Density dependence of condensates medium modifications of hadrons

Case of Di-Electrons

A

QCD sum rules

CB-TAPS

Rossendorf

BUU model


Density dependence of condensates medium modifications of hadrons

e+

e-

Understanding Hadron Masses

Stark

Zeeman

nuclear matter = external field

Brown & Rho (1991):

search by HADES ...

sensors for QCD vacuum?


Density dependence of condensates medium modifications of hadrons

e+

e-

Nucleus as Laboratory

HADES

KEK

CLAS

no FSI: direct probes

V. Metag & U. Mosel

CB-TAPS

@ ELSA

FSI


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