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Light and Heavy Hadrons in Medium

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consistent extrapolate pQCD. Description of Chiral Symmetry Restoration / Decofinement ... Baryons: D(1232) - Consistency and Constraints (Nuclei, Lattice, ... – PowerPoint PPT presentation

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Title: Light and Heavy Hadrons in Medium


1
Light and Heavy Hadrons in Medium
Ralf Rapp Cyclotron Inst. and Physics
Dept. Texas AM
University College Station, USA Frankfurt
am Main, 25.06.04
2
1.Introduction Towards the Phase Transition
  • Description of Chiral Symmetry Restoration /
    Decofinement
  • requires nonperturbative approaches
  • Mean-field models (lin. s-model, NJL) capture
    many aspects,
  • but incomplete (limited d.o.f., only mass
    effects,)

note high-density CFL phase (CSC) characterized
by hadronic excitations (p, r, )
3
Outline
1. Introduction 2. Hadrons below Tc 2.1
Light Hadrons Vacuum 2.2 Hadronic Many-Body
Approach u,d Sector - Mesons 0 (p-s), 1
(r-a1) , Baryons D(1232) - Consistency
and Constraints (Nuclei, Lattice, ) -
Towards a Chiral Resonance Scheme -
URHICs 2.3 Charmed Mesons 3. Hadrons at and
above Tc 3.1 Continuity ?! 3.2 Heavy Quarks
Charmonium Regeneration 3.3 Light Quarks
Generalization of Coalescence 4. Conclusions
4
2.1 Light Hadrons Vacuum
Correlation Function Timelike (q2gt0) Im
Pa(q0,q) ? physical excitations
5
(ii) Light Sector in Vacuum II Spacelike
Constituent Quark Mass
Data lattice Bowman etal 02 Curve
Instanton Model Diakonov Petrov 85,
Shuryak
6
2.2 Hadronic Many-Body ApproachLight Sector
(u,d)
2.2.1 0 Mesons Pion and Sigma 2.2.2 1
Rho and a1(1260) 2.2.3 Chiral Resonance
Scheme 2.2.4 Baryons D(1232) 2.2.5 Comparison
to Lattice 2.2.6 URHICs E.M. Probes and
Resonances
7
2.2.1 Pion and Sigma in Medium
Dpk02-wk2-Sp(k0,k)-1
N,D p
N-1,D-1
  • finite rN prevalent
  • diluted at Tgt0

8
(i) r(770)
2.2.2 1 Mesons
B,a1,K1...
Constraints - branching ratios B,M?rN,rp - gN,
gA absorpt., pN?rN - QCD sum rules

N,p,K
9
(ii) Vector Mesons at RHIC
baryon effects important even at rB,tot0
sensitive to rBtotrBrB , f more robust ?
OZI
-
10
(iii) Current Status of a1(1260)
11
2.2.3 Towards a Chiral Resonance Scheme
  • Options for resonance implementation
  • (i) generate dynamically from pion cloud
    Lutz et al. 03,
  • (ii) genuine resonances on quark level
  • ? representations of chiral group
    DeTarKunihiro 89,
  • e.g.
    Jido etal 00,

p s N
N(1535)- r a1
D N(1520)- N(1900)

D(1700)-(?) D(1920)
rS
(a1)S
rS
Importance of baryon spectroscopy to identify
relevant decay modes!
12
2.2.4 In-Medium Baryons D(1232)
  • ? long history in nuclear physics ! ( pA , gA
    )
  • e.g. nuclear photoabsorption MD, GD up by
    20MeV
  • ? little attention at finite temperature
  • ? D-Propagator at finite rB and T van
    Hees RR 04

13
(i) Check D in Vacuum and in Nuclei
? ok !
14
(ii) D(1232) in URHICs
? broadening Bose factor, pD?B ? repulsion
pDN-1, pNN-1
not yet included
(pN?D)
15
2.2.5 Lattice Studies of Medium Effects
Laermann, Karsch 04
calculated on lattice
p more stable than r below Tc?! (but
quenched)
16
Comparison of Hadronic Models to LGT
17
2.2.6 Observables in URHICs
e e-
?
  • (i) Lepton Pairs
    (ii) Photons

baryon density effects!
18
(iii) Resonance Spectroscopy I pp- Spectra
Sudden Breakup
Emission Rate
  • BroniowskiFlorkowski 03
  • r-mass shift -50MeV
  • small s contribution
  • underestimates r/p

Shuryak Brown 03
19
(iv) Resonance Spectroscopy II pp Spectra
D(1232) at RHIC
courtesy P. Fachini
Qualitatively in line with data (DMD8MeV ,
DGD55MeV)
DMD22MeV DGD (4510)MeV
20
2.3 Charm(onium) below Tc
Dissociation rate
GrandchampRR 03
Reduced DD threshold DmD(Tc)-140MeV (NJL) ?
? J/y robust ? Y fragile direct Y?
DD decays
21
3. Hadrons at and Above Tc
3.1 Continuity ?! 3.2 Charmonium in QGP 3.3
Light Hadrons in QGP
22
3.1 Continuity?!
Light Hadron Masses
Shuryak, Zahed, Brown 04
23
3.2 Charmonium in QGP
DyM2-my2-Sy-1 , myconst (QCD-SR, LGT)
gluo-dissociation, inefficient for my 2
mc quasifree diss. GrandchampRR 01
24
Charmonia in URHICs
SPS
RHIC
Grandchamp RR 03
25
3.3 Light Hadrons in QGP
  • Resonance matter at 1-2Tc?! - EoS can be ok
    ShuryakZahed04
  • assess formation rates from inelastic reactions
  • (as in charmonium case) qq ? pX , etc.
  • solve (coupled) rate equations
  • accounts for energy conservation, no sudden
    approximation
  • ? p-formation more reliable
  • To be resolved
  • quark masses are not constituent
  • role of gluons? (not really heavier than
    quarks) ,

-
26
4. Conclusions
  • Hadronic Many-Body Theory can provide
  • - valuable insights into hadron properties in
    medium
  • - understanding of observables in nuclear
    reactions
  • The physics is often in the width (exception
    e.g. s)
  • Interpretations?

- many spectral properties appear to vary
smoothly - connections to phase transition to be
established - need nonperturbative
symmetry-conserving approach, e.g.
selfconsistent F-derivable thermodyn. potential
27
  • Additional Slides

28
4.3 Charm I Open Charm (Central A-A)
  • (i) Yields
  • RHIC -30 for h0?2 CGC Tuchin,
    Color-Dipole Raufeisen
  • LHC CGC Npart nonlin. DGLAP enhanced!
    Kolhinen
  • (ii) pT-Spectra
  • dE/dx Null Effect?! Djordjevic

v2(e) Thermalization?!
29
3.4 Hydro vs. Coalescence The 2-6GeV Regime
Hirano,Nara
v2 mass-dependent But p/p(4GeV)0.3
PHENIX 10.15
Challenges p/p1 jet correlation , f
elliptic flow
30
Direct Photons at SPS and RHIC
Turbide etal
  • pQCD Cronin p0
  • ? T0205MeV sufficient
  • new WA98 points
  • pp-Bremsstr. via soft s ?
  • large pre-equilibrium yield
  • from parton cascade (no LPM)
  • thermal yields consistent
  • QGP undersaturation small effect

31
4.3 Charm II Charmonium
  • RHIC central Ncc10-20,
  • QCD lattice J/ys to 2Tc

Regeneration in QGP / at Tc J/y g c
c X
-
?
?
PBM etal, Thews etal
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