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Antiproton Facilities @
Requirements for
Klaus PetersKPIII/HPI, GSI DarmstadtIKF, JWGU Frankfurt
p-Workshop, GSI, Darmstadt
Dec 3, 2007
2
Klaus Peters - pbar Requirements for Panda
@
HESR
PANDA
Conventional and exotic charmonium spectroscopy
Formation (scans)Production (with recoil)
Nucleon structure issuesElectromagnetic form factorsCross channel Compton scatteringDrell-Yan and others
Hyper nuclear physicsFlavored baryonsMany other topics
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Klaus Peters - pbar Requirements for Panda
Detector
• High RatesTotal σ ~ 55 mbpeak >2·107 int/s
• Elm. Calorimetry(γ,π0,η)
• Magnetictracking
• Forward capabilities(leading particles)
• Sophisticated Trigger(s)
• Vertexing(σp,KS,Λ,…)
• Charged Particle ID(e±,μ±,π±,p,…)
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Klaus Peters - pbar Requirements for Panda
Quark-Antiquark Binding Charmonium Physics
DD
DD*
ψ(11D2)
ψ(13D2)
ψ(13D3)
ψ(13D1)
Mcc
[G
eV
/c2]
ηc(11S0)
ηc(21S0)
J/ψ(13S1)
χc0(13P0)
χc1(13P1)
χc2(13P2)
h1c(11P1)
2.9
3.0
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4.0D*D*
ψ(33S1)
pp [G
eV
/c]
ψ(23S1)
χc0(23P0)
χc1(23P1)
χc2(23P2)
h1c(21P1)ηc(31S0)
3.4
4.1
4.8
5.5
6.3
7.1
8.0
JP=0+ 1- 1+ (0,1,2)+ 2- (1,2,3)-
But many recent findings don‘t fit very well
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Klaus Peters - pbar Requirements for Panda
The Potential – A Guide
SD LS SS TH V V V
2
( )3
2SV
LSc
dVdVL SV
m r dr dr
1 2 2
2
2( )
3SS Vc
S SV V r
m
2
2
2 2
ˆ ˆ2 3 112
V VT
c
S r S r S dV d VV
m r dr dr
spin-orbit(fine structure)
spin-spin(hyperfine structure)
tensor
VS and VV are the scalar and vector components of the non-relativistic potential
3
3.5
4
1 2
R/r0
V(R)/GeV
J/ψ
χc
ψ‘
Hcc
DD
Π
Σ
G. Bali et al., hep-lat/0003012
G. Bali, hep-ph/0412158
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Klaus Peters - pbar Requirements for Panda
X(3872) and Confirmation
hep-ex/0406022
9.4σ
11.6 σ
BABAR
Phys. Rev. Lett. 91(2003)262001152 Mill. BB
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Klaus Peters - pbar Requirements for Panda
Mass Differences in ψππ and DDπ
• X(3872) in (ψππ) K+
Belle m=3872±0.6±0.5Babar m=3871.3±0.6±0.1
• X(3872) in (ψππ) KS
Belle m=3871.8±1.1±0.6Babar m=3868.6±1.2±1.2Γ<2.3
• X(3872) in DDπ KBelle m=3875.4±0.7+0.9
-1.6
Babar m=3875.1+0.7-0.5±0.5
Γ=3.0+1.9-1.4±0.9
mD0D0* =3871.8±0.3
mD+D-* =3879.9±0.3
E. Braaten, only D0D0* threshold considered
about 3 MeV between final states
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Klaus Peters - pbar Requirements for Panda
Mass and Width Determination DsJ(*)(2xxx)
• Deduce mass and width from excitation function
• Many channels, but all require e-cooling at large energies
threshold Ds0*Ds0* threshold DsDs0*
possible experimental result
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Klaus Peters - pbar Requirements for Panda
Experimental Questions - Charmonium
• Do Charmonium hybrids exist?Like 1-+ (expected to be the lightest spin-exotic state)
Are there JPC exotics in Charmonium?
• Some observed states are extremely narrow…Like X(3872), DsJ
*(2317), DsJ(2459), …
What is the real width?
• Some are observed near thresholdsLike X(3872) (DD*), Y(4260) (DsDsJ
*), …
What is the line shape, dispersive/coupled channel effects?
• There is one charged candidate– multiquark candidateZ+(4433)
Are there neutral partners? Are there more? What is the line shape? Is it a real resonance?
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Klaus Peters - pbar Requirements for Panda
Experimental techniques - Charmonium
• Do Charmonium hybrids exist?Like 1-+ (expected to be the lightest spin-exotic state)
Are there JPC exotics in Charmonium?
• Some observed states are extremely narrow…Like X(3872), DsJ
*(2317), DsJ(2459), …
What is the real width?
• Some are observed near thresholdsLike X(3872) (DD*), Y(4260) (DsDsJ
*), …
What is the line shape, dispersive/coupled channel effects?
• There is one charged candidate – multiquark candidateZ+(4433)
Are there neutral partners? Are there more? What is the line shape? Is it a real resonance?
Charmonium production w/ light recoil particles [large pp (15 GeV/c)]
Charmonium formation[Δp ~ 30-100 keV]
Charmonium production w/ light recoil particles @ threshold (e.g. Z+π-)[pp >10 GeV/c, Δp ~ 100-200 keV]
Charmonium formation w/ anisotrop momentum steps
12
Klaus Peters - pbar Requirements for Panda
pp cross sections
PANDA
Crystal Barrel E760/E835
Obelix
PS185
Jetset http://pdg.lbl.gov/2007/hadronic-xsections/hadronicrpp_page11.pdf
CITATION: W.-M. Yao et al., J. Phys. G 33,1 (2006)
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Klaus Peters - pbar Requirements for Panda
pp cross sections – exclusive final states
100 mb
10 mb
1 mb
100 μb
10 μb
1 μb
100 nb
10 nb
1 nb
ΛΛ
3π0
ΞΞ
ΩΩ
Ξ*Ξ
Ω*Ω
Λ*cΛc
drop of cross section due todisconnected quark lines
s dependence σ~s-X
for large phase space(e.g. 2π0 σ~s-7.2 @ χcJ)
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Klaus Peters - pbar Requirements for Panda
pp cross sections – exclusive final states
100 mb
10 mb
1 mb
100 μb
10 μb
1 μb
100 nb
10 nb
1 nb
ηc
χc0
χc2
ηcπ0
Hybrids
Glueballs
X(3872)
Example X(3872)peak ~50 nb (E. Braaten)DDπ/ψππ ~10:1 ψππ 250 pb (ee and μμ) DDπ 500 pb (multiple channels)
includes eff. and BR
L=2·1031, duty ε=0.5∫(L*ε) = 0.86 pb-1/d 2 d/point peak (~400 ev. ψππ/~800 ev. DDπ)x 20 points 40 days
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Klaus Peters - pbar Requirements for Panda
Experimental Method in pp Scans
( )
2in out R
BW 2 2 2R R
B B2J 14 k E M / 4
Γπσ
Γ
+=
- +
The cross section for the process: pp cc final stateis given by the Breit-Wigner formula:
The production rate ν is a convolution of theBW cross section and the beam energy distribution function f(E,ΔE):
{ }0 BW bL dE f(E, E) (E)ν ε Δ σ σ= × +ò
The resonance mass MR, total width ΓR and product of branching ratiosinto the initial and final state BinBout can be extracted by measuring theformation rate for that resonance as a function of the cm energy E.
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Klaus Peters - pbar Requirements for Panda
Exotic Charmonium Production
• Expected cross sections are O(1nb)typical channels involve DD or J/ψleptonsBR lead to small yields O(1-few %)Reconstruction ε~10-40%L=2·1032, duty ε=0.5
∫(L*ε) = 8.6 pb-1/d
• Exampleη1η [1 nb] χc1ππη l+l-7γ [10 pb incl. ε, multichannel l+l-/η]
Goal: minimum 10k for PWA 116 d or 1 fb-1
Ideal: 50k ~600 d or 5 fb-1
• Strategy1 p-year running (~200 d) at pp=15 GeV/c for a survey
additional running at optimized* (slightly lower) momentumto improve PWA sensitivity (final goal: total ~600 d, 3 p-year)
*) depending on findings
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Klaus Peters - pbar Requirements for Panda
Hypernuclear Physics @
• Limiting factor charged particle load on central detector (0.6-1.0)·107
• L=(3-5)·1030 cm-2s-1
p re-storage <6·106
Ξ-
Secondary Target
3 GeV/c
TriggerK+K
Carbon Wire ø 10 μm
Ξ-(dss)p(uud) Λ(uds)Λ(uds)
# Neutrons
16Λ O
18Λ O
14Λ N
15Λ N
12Λ C
13Λ C
14Λ C
9ΛB
10Λ B
11Λ B
12Λ B
7ΛBe
8ΛBe
9ΛBe
10Λ Be
6ΛLi
7ΛLi
8ΛLi
9ΛLi
4ΛHe
5ΛHe
6ΛHe
7ΛHe
8ΛHe
4ΛH
3ΛH
1 2 3 4 5 6 7 8 9
4
8
7
6
3
5
2
1
10
9
# P
roto
ns
Minium 8 months full running
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Klaus Peters - pbar Requirements for Panda
Crossed-channel Compton scattering
Cross section σ ≈ 2.5 pb @ s≈10 GeV2
L = 2·1032 cm-2s-1 → 103 Events/Month
Electromagnetic form factor of the proton (time-like)
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Klaus Peters - pbar Requirements for Panda
pp
[GeV/c]
√s[GeV/c2]
Physics 3·10-4 10-4 3·10-5 10-5
>1.4 >2.23 ΛΛ 151 keV 51 keV 15 keV 5 keV
~2 ~2.4 Light Quarks
3.67 2.97 ηc 336 keV 112 keV 34 keV 11 keV
6.98 3.87 X(3872) 504 keV 168 keV 50 keV 17 keV
8.80 4.29 DsDs0*(2317) 574 keV 192 keV 58 keV 19 keV
15.1 5.5Charm
Production 755 keV 252 keV 77 keV 25 keV
Resolution for various Δp/p @ various pp
few 100 keV
few 100 keV
100 keV
30-100 keV
100 keV
<1 MeV
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Klaus Peters - pbar Requirements for Panda
Resolution for various Δp/p @ various pp
10-5
10-4
3x10-4
10-3
3x10-5
2 6 10 14 GeV/c
Δp/p Lumi
1030
1031
1032
Lowest Δp/p required for charm-state scansRelaxed for detector resolution dominated cases
LightQuarks
Hyper-nuclei
NarrowCharm
NucleonStructure
ExoticCharm
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Klaus Peters - pbar Requirements for Panda
Luminosities @ various pp
10-5
10-4
3x10-4
10-3
3x10-5
2 6 10 14 GeV/c
Δp/p Lumi
1030
1031
1032
LightQuarks
Hyper-nuclei
NarrowCharm
NucleonStructure
ExoticCharm
Highest luminosity required for exotic charm discoveriesand nucleon structure physics
detector s
aturation
22
Klaus Peters - pbar Requirements for Panda
Target considerations
• Generalfor 1011 p in HESR (circ. 574 m)2·1032 require target thickness dLOI=3.8·1015 H/cm2
• Cluster-Jet-Targetachieved 1·1015 (EU-FP6), final goal (realistic) (3-5) ·1015 (EU-FP7)if 5·1015 could be achievedthe exp. p loss during the spill could be partly compensated
• Pellet-Targetachieved 2·1015 H/cm2
main problems: pellet yield, luminosity variations(25 μm pellets, pellet has 6·1019 H/cm2)
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Klaus Peters - pbar Requirements for Panda
@ Summary
HESR
PANDA
Maximum beam spread @ 7-10 GeV/c
should not exceed 3·10-5
ideal 1·10-5 to be safeat small and large momenta
should not exceed 3·10-4-5·10-4 respectively
Luminosities@ 7-10 GeV/c (high prec. mode)minimum 1031 ideally ~2·1031
at small momenta 1030 may be enough, but physics is limited thenat large momenta
minimum 1032 ideally >2·1032 to increase discovery potential and reasonable nucleon structure measurements
Running time≥200 d/year Detector maintainance ~3 m/year