Strangeness Workshop Warszawa 2016
Transcript of Strangeness Workshop Warszawa 2016
Statistical model analysis of hadron yields at SIS energies
StrangenessWorkshopWarszawa2016
ManuelLorenzfortheHADEScollabora@on
1
Outline:
• Introduc@on• Sta@s@calpar@cleproduc@on,Freeze-outandthePhasediagram
• Sta@s@calmodelinsmallsystems:• [email protected]• [email protected]• Transport
• Parameteriza@on• Freefit• [email protected]
• Summaryandconclusion
• Outlook:WhatelsetoexpectfromAu+Au (andthefuture)
[MeV]bµ
0 200 400 600 800 1000 1200
T [M
eV]
0
50
100
150
200 RHIC/SPS/AGS (a)
RHIC/SPS/AGS/SIS (b)
HADES (Ar+KCl)
]2Mass [MeV/c0 200 400 600 800 1000 1200
[MeV
]ef
fT
020406080
100120140160180
-π 0s/K+K p φ Λ
2
[MeV]bµ
0 200 400 600 800 1000 1200
T [M
eV]
0
50
100
150
200 RHIC/SPS/AGS (a)
RHIC/SPS/AGS/SIS (b)
HADES (Ar+KCl)
Sta@s@calmodel
Ensembletheory
AnderesBildkeinePunkte
Eur. Phys. J., A 47(21)Par%cleproduc%onfromahomogeneoussource:
Freeze-outpoints:a) Andronicet.al.(GrandcanonicalT,µB)Nucl.Phys.A789(2007)334-356a) Cleymans,Becabni(Strangenesscanonical+γS)Phys.Rev.C73(2006)034905Measurementsatdifferent√slineupinacommonfreeze-outcurve(E/N≈1GeV)
CentralAu+AuandPb+Pb
Grandcanonicalensemble
Quantumnumbersconservedonaverageusingchemicalpoten@als
Parameters:T,µ=µBµsµQ,V(usuallyµsandµQarefixedfromini@alcondi@ons)
3
[MeV]bµ
0 200 400 600 800 1000 1200
T [M
eV]
0
50
100
150
200 RHIC/SPS/AGS (a)
RHIC/SPS/AGS/SIS (b)
HADES (Ar+KCl)
Sta@s@calmodel
Howtointerpretthisapparentequilibrium,especiallyatlowenergies?Testmodelalsoinreferencesystemse.g.p+A
Ensembletheory
AnderesBildkeinePunkte
Eur. Phys. J., A 47(21)Par%cleproduc%onfromahomogeneoussource:
Freeze-outpoints:a) Andronicet.al.(GrandcanonicalT,µB)Nucl.Phys.A789(2007)334-356a) Cleymans,Becabni(Strangenesscanonical+γS)Phys.Rev.C73(2006)034905Measurementsatdifferent√slineupinacommonfreeze-outcurve(E/N≈1GeV)
CentralAu+AuandPb+Pb
Grandcanonicalensemble
Quantumnumbersconservedonaverageusingchemicalpoten@als
Parameters:T,µ=µBµsµQ,V(usuallyµsandµQarefixedfromini@alcondi@ons)
4
Sta@s@calmodelatSISenergies
Ensembletheory
AnderesBildkeinePunkte
Strangenesscanonical(exactlyconserved)
Yieldsreduced(canonicalsuppression)
•Notenoughtoexplaindata:
•Strangenesshastobeconservedexactlyinavolumesmallerthanthevolumeofthesystem(radius:RC<Rv)
•Empiricalunder-satura@onparameter(γS)
•φmeson(hiddenstrangeness,notsuppressedbyRCbutstronglybyγS)
InthestrangenesscanonicalensembleµBconstrainedby:π/p,K+/K-(duetostrangenesscontentintheΛ)Tconstrainedby:K/π,φ/K(p/Λ)(usuallyRcorγSisalsoinvolved,strongcorrela@onbetweendifferentparametersAddi%onalinput:HadronspectrumandBRtofinalstatesYieldsvs.ra%os:Cancella@onofsystema@cerrorsRandRcdeterminedLimitednumberofhadronyieldsmeasuredatlowenergies!
5
• Sta@s@calmodelworksreasonablywellatlowenergiesformedium-sizedsystem• StrongexcessoftheΞ-• Φmesondescribedwithoutsuppression(Rc)
THERMUSV3.0:S.Wheaton,J.Cleymans:Comput.Phys.Commun.180:84-106,2009EtamesoninterpolatedfromTAPSmeasurementat1.5and2AGevinCa+Ca
arxiv.org/abs/1512.07070
7
Verysimilarfitforp+NbasforAr+KCl!
StrongexcessoftheΞ-alreadypresentincoldnuclearmauer
Sta%s%calmodelgivessimilarresultsforp+AandlightA+Acollisions!
THERMUSV3.0:S.Wheaton,J.Cleymans:Comput.Phys.Commun.180:84-106,2009
arxiv.org/abs/1512.07070
8
ApparentequilibriuminUrQMD
J.Steinheimer,M.Lorenz,F.Becabni,R.Stock,M.Bleicherarxiv.org/abs/1603.02051 9
0 1 2 3 4 5 6 7 8 9
yiel
d
4−10
2−10
1
210
410510
=2.4 GeVNNs√Data, =788MeV fixed,
bµT=59MeV fixed,
0.2fm±=10.8V0.1fm, R±=3.5CR/ndof=9.32Χ
Exp/
THER
MU
S
0
1
2
3
partA p -π η Λ +K s0K -K φ
Au+AudatavsTandμBparameterized
0-20%mostcentral
Cleymans,Oeschleretal,Phys.Rev.C73:034905,2006
THERMUSV2.3:S.Wheaton,J.Cleymans:Comput.Phys.Commun.180:84-106,2009 11
0 1 2 3 4 5 6 7 8 9
yiel
d
4−10
2−10
1
210
410 =2.4 GeVNNs√Data, 25,±=883MeV
bµ2MeV, ±T=68
0.9fm±=5.8V0.3fm, R±=2.1CR/ndof=2.32Χ
Exp/
THER
MU
S
0
0.5
1
1.5
2
partA p -π η Λ +K s0K -K φ
Au+Audatavsfreefit
0-20%mostcentral
Goodminimum,butratherhighvaluesforμBandTTHERMUSV2.3:S.Wheaton,J.Cleymans:Comput.Phys.Commun.180:84-106,2009 12
Kine@cfreezeout
]2Mass [MeV/c0 200 400 600 800 1000 1200
[MeV
]ef
fT
020406080
100120140160180
-π 0s/K+K p φ Λ
Tchem
TkinextractedfromSiemens-Rassmusenfittopspectra
15
0-20%mostcentral
Summary
ExcessofXialreadypresentincoldnuclearmauerDescrip@onofp+Awithasta@s@calmodelverysimilartothoseforAr+KCl(andtoCa+CafromUrQMD)Implica@onsandInterpreta@on!FirstfittoAu+AuhadronyieldsshowshigherTandμBthanexpectedfromparameteriza@ons,toearlytocall!Systema@cstudiesofmodels/parameters/yields/minimum/..
16
Lightnuclei:perfectlydescribedbySHMatLHC
18
(Low)Ptspectra,L,K0s,K+HBTLightnucleiConstrainingresonancesFlowanisotropiesFluctua@onsDileptonradia@on
Verysensi@vetomuBatSIS18energies
Fluctua@onsofconservedchargesandmuchmore
21
Flowanisotropies HBT Conversionanalysis
MelanieSzala,RomainHolzmann
SashaSadovsky,BehruzKardan,FredericKornas RolandKoue ClaudiaBehnke,Chris@naDeveaux
22
p+p@4GeV:Xicrosssec@[email protected],K-differen@alPioninducedreac@oninaddi@on
Futurebeam@meproposals
T.Galatyuk
PhotoJanMichaelHosan
Kine@cfreeze-outAr+KCl
]2Mass [MeV/c0 200 400 600 800 1000 1200
[MeV
]ef
fT
020406080
100120140160180
0π0sK η Λ
25