*Work at ASU is supported by the U.S. National Science Foundation
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Transcript of *Work at ASU is supported by the U.S. National Science Foundation
B. G. Ritchie - MENU 2013 - October 2013 1
*Work at ASU is supported by the U.S. National Science Foundation
Barry G. Ritchie*Arizona State University
Latest results from FroST at Jefferson Lab
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Nucleon excited states
γ p → π+ n
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• As a composite system, the nucleon has a specific spectrum of excitations: the nucleon resonances.
• This nucleon resonance spectrum has many broad overlapping states, making disentangling the spectrum difficult.
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The state of our knowledge
22 Δ* states: • 7 with **** • 3 with ***• 7 with **• 5 with *
Nucleon
• Nearly half the states have only fair or poor evidence!
• Most states need more work to learn details
• Are there missing states?26 N* states: • 10 with **** • 5 with ***• 8 with **• 3 with *
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Models predict (lots of)excitations • Many nucleon models have offered
“predictions” for the nucleon resonance spectrum --• constituent quark model• diquark • collective models• instanton-induced interactions• flux-tube models• lattice QCD• (your favorite here) - BUT…
• THE BIG MYSTERY: Most models
predict many more resonance states than have been observed.
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Example: R.G. Edwards et al. Phys. Rev. D87 054506 (2013)
Example: Lattice QCD results for N* resonances• Noticeable change as the π mass
becomes more realistic
• Number of low-lying states (boxed regions) remains the same for the two π-masses, and generally is the same as NRQMs
• Many of these predicted states are poorly determined or missing.
mπ = 524 MeV
mπ = 391 MeV
EXPERIMENT
BARYON MODELS
REACTION MODELAMPLITUDE ANALYSIS
cross sections,spin observables
multipole amplitudes,phase shifts
effective Lagrangians,Isobars, etc…
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Solving a mystery: “The Case of the Missing Resonances”
LQCD, quark models,etc…
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Gathering clues:helicity amplitudes
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• 8 helicity states: 4 initial, 2 final → 4 2 = 8∙ possible complex amplitudes• Parity reduces these to 4 complex amplitudes Hi (8 W-dependent functions)• Overall phase unobservable → 7 W-dependent functions• Suggests complete determination possible with 7 observables/experiments • HOWEVER, not all possible observables are linearly independent →
a minimum of 8 observables / experiments
Helicity amplitudes for γ + p → p + pseudoscalar
3 12 2
11 22
13 42
H HA
H H
helicity +1 photons (ε+): helicity -1 photons (ε-):31
2 21
4 321
2 12
H HA
H H
,, AeA
→ Parity →
11 12
21 22
A AA
A A
Initial helicity final helicity
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Linkage between helicity amplitudes and the observables for single pseudoscalar photoproduction
Differential cross section
Beam polarization S
Target asymmetry T
Recoil polarization P
Double polarization observables
• Need at least 4 of the double observables from at least 2 groups for a “complete experiment”
• π0p, π+ n, and η p will be nearly complete
• K+ Λ will be complete!
Long
itudi
nal t
arge
t
Tran
sver
se ta
rget
Pola
rized
ph
oton
s+
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Conducting the investigation
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Photon beam Target
x y z
Unpolarized 0 T 0
Linearly polarized H (-P) -G
Circularly polarized F 0 -E
FroST
g9b g9a
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The detective’s tools:FroST and friends
CLAS (1997-2012)
Lest we forget: • CLAS was very
good for detecting charged particles
• CLAS had large acceptance
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Hall B Bremsstrahlung Photon Tagger (not dead yet!)
61 backing counters
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• Jefferson Lab Hall B bremsstrahlung photon tagger had:• Eγ = 20-95% of E0
• Eγ up to ~5.5 GeV• Circular polarized
photons with longitudinally polarized electrons
• Oriented diamond crystal for linearly polarized photons
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• Doped butanol and dynamic nuclear polarization): • Butanol with paramagnetic radical
TEMPO• Polarize unpaired TEMPO electrons to
99.999% with B = 5 T and T = 0.3 K• Transfer electron polarization to free
protons with microwaves at ~140 GHz• Remove microwaves• Cool to T = 30 mK and use B = 0.5 T
holding field• Put target in CLAS and run experiment
Frozen Spin Target - FroST
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Transverse polarization – g9b
Longitudinal polarization – g9a
Complete assembly – g9a
Holding coils
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• Frozen spin butanol (C4H9OH)
• Pz ≈ 80%
• Target depolarization: τ ≈100 days
FroST performance
• For g9a (longitudinal orientation) 10% of allocated time was used polarizing target
• For g9b (transverse orientation) 5% of allocated time was used polarizing target
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FroST’s first clues:Single pion photoproduction
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Isospin combinations for reactions involving π0 and π+
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321
21
323
21
321
21
3230
,3/2,3/1:
,3/1,3/2:
IIIIn
IIIIp
Δ+ N*
• Differing isospin compositions for N* and Δ+ for the π0 p and π+ n final states
• The π0 p and π+ n final states can help distinguish between the Δ and N*
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Theoretical analyses In the plots that follow, you will see many curves from:• SAID: A two-stage PWA where
• stage 1 is the fit to data• stage 2 is the extraction of resonance parameters
• BnGa (Bonn-Gatchina): A single stage PWA• MAID: Isobar analysis
Note: The SAID results labeled “new” in this section of the talk include the new Σ data from ASU/CLAS. Later sections of the talk show SAID results that do not have the new Σ data included.
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Observables: T and F
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Experiment:• g9b: FroST
Configuration:• Circular photon polarization• Transverse target polarization• Unpolarized photon (add circular beams)• No recoil polarization
Reaction: γ p → n π+
Photon beam Target
x y z
Unpolarized 0 T 0
Linearly polarized H (-P) -G
Circularly polarized F 0 -E
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T for γ p → n π+
• Early stage results• CLAS results agree well with
previous data
(new)
(new)
(new)
g9b:Michael Dugger
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F for γ p → n π+
• Early stage results• Predictions get much worse at
higher energies• SAID13 are predictions based
on preliminary fits to CLAS pion Σ measurements
(new) (new)
(new)
g9b: Michael Dugger
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Observable: E
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Configuration:• Circular photon polarization• Longitudinal target polarization• No recoil polarization
Reactions: γ p → p π0 and γ p → n π+
Photon beam Target
x y z
Unpolarized 0 T 0
Linearly polarized H (-P) -G
Circularly polarized F 0 -E
Experiment:• g9a: FroST
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E for γ p → p π0
• Early stage results
• Predictions better at lower energies
(new)
g9a:
Michael Dugger
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E for γ p → n π+
Steffen Strauch
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Predictions worse at higher energies
SAIDSAID (new)MAID
Cos(θπc.m.)
W = 1.25 GeV W = 1.27 GeV
W = 1.29 GeV W = 1.31 GeV W = 1.33 GeV W = 1.35 GeV
W = 1.47 GeVW = 1.45 GeV
W = 1.43 GeVW = 1.41 GeVW = 1.39 GeVW = 1.37 GeV
W = 1.49 GeV W = 1.51 GeV W = 1.53 GeV W = 1.55 GeV W = 1.57 GeV W = 1.59 GeV
W = 1.71 GeVW = 1.69 GeVW = 1.67 GeVW = 1.65 GeVW = 1.63 GeVW = 1.61 GeV
W = 1.73 GeVW = 1.75 GeV W = 1.77 GeV W = 1.81 GeV W = 1.83 GeV W = 1.9 GeV
W = 2.19 GeVW = 2.13 GeVW = 2.07 GeV
W = 2.02 GeVW = 1.98 GeVW = 1.94 GeV
g9a:
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Observable: G Reactions: γ p → n π+
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Configuration:• Linear photon polarization• Longitudinal target polarization• No recoil polarization
Experiment:• g9a: FroST
Photon beam Target
x y z
Unpolarized 0 T 0
Linearly polarized H (-P) -G
Circularly polarized F 0 -E
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G for γ p → n π+g9a:
▬ SAID-- MAID-• Bonn-Gatch
Jo McAndrew
PRELIMINARY PRELIMINARY
PRELIMINARYPRELIMINARY
W=2030-2080 MeV
W=1640-1680 MeV
W=1840-1880 MeV
W=1475-1500 MeV
• Early stage results
• Photon polarizations are approximate
◊ Bussey et al
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Additional clues from FroST:Single eta or kaon photoproduction
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“Isospin filters”• Final states of ηp and K+Λ systems have isospin ½ , and limit
one-step excited states of the proton to be isospin ½. • Thus, the final states ηp and K+Λ can serve as isospin filters
to the resonance spectrum.
γ p → π+ n γ p → η p
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Observables: T and F
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Configuration:• Circular photon polarization• Transverse target polarization• Unpolarized photon (add circular beams)• No recoil polarization
Reaction: γ p → η p
Photon beam Target
x y z
Unpolarized 0 T 0
Linearly polarized H (-P) -G
Circularly polarized F 0 -E
Experiment:• g9b: FroST
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T for γ p → η p g9b:Ross Tucker
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F for γ p → η p g9b:Ross Tucker
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Observable: E
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Configuration:• Circular photon polarization• Longitudinal Target polarization• No recoil polarization
Reaction: γ p → η p
Photon beam Target
x y z
Unpolarized 0 T 0
Linearly polarized H (-P) -G
Circularly polarized F 0 -E
Experiment:• g9a: FROST
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E for γ p → h p
• Predictions are generally inconsistent with data at all energies at more forward angles
(new)
g9a:
Igor Senderovich
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Observables: T and F
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Configuration:• Circular photon polarization• Transverse target polarization• Unpolarized photon (add circular beams)• No recoil polarization
Reaction: γ p → K+L and γ p → K0S
Photon beam Target
x y z
Unpolarized 0 T 0
Linearly polarized H (-P) -G
Circularly polarized F 0 -E
Photon beam Target
x y z
Unpolarized 0 T 0
Linearly polarized H (-P) -G
Circularly polarized F 0 -E
g9b:
Natalie Walford
W=1725 MeVEγ=1117 MeV
W=2125 MeVEγ=1938 MeV
W=2025 MeVEγ=1717 MeV
W=1975 MeVEγ=1610 MeV
W=1925 MeVEγ=1506 MeV
W=1875 MeVEγ=1405 MeV
W=1825 MeVEγ=1306 MeV
W=1775 MeVEγ=1210 MeV
W=2275 MeVEγ=2290 MeV
W=2225 MeVEγ=2170 MeV
W=2175 MeVEγ=2053 MeV
W=1675 MeVEγ=1027 MeV
PreliminaryT for γ p → K+L Bonn-Gatchina: blue
kaonMAID: pinkBonn –data - purpleGRAAL data - black
W=1725 MeVEγ=1117 MeV
W=2125 MeVEγ=1938 MeV
W=2075 MeVEγ=1826 MeV
W=2025 MeVEγ=1717 MeV
W=1975 MeVEγ=1610 MeV
W=1925 MeVEγ=1506 MeV
W=1875 MeVEγ=1405 MeV
W=1825 MeVEγ=1306 MeV
W=1775 MeVEγ=1210 MeV
W=2275 MeVEγ=2290 MeV
W=2225 MeVEγ=2170 MeV
W=2175 MeVEγ=2053 MeV
PreliminaryT for γ p → K0S Bonn-Gatchina: blue
kaonMAID: pink
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A “complete” set of clues:Self-analyzing reaction K+ Y (hyperon)
• Hyperon weak decay allows extraction of hyperon polarization by looking at the decay distribution of the baryon in the hyperon center of mass system:
cos1)(cos 21
YPI
where I is the decay distribution of the baryon, α is the weak decay asymmetry (αΛ= 0.642 and αΣ0 = -⅓ αΛ), and PY is the hyperon polarization.
• Get recoil polarization information without a recoil polarimeter: the reaction is “self-analyzing”.
• No preliminary results yet, but data will be forthcoming.
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More clues from FroST: multi-pion photoproduction
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Photoproduction of π+ π - p states
• 64 observables• 28 independent relations related to helicity amplitude magnitudes• 21 independent relations related to helicity amplitude phases• Results in 15 independent numbers
Good for discovering resonances that decay into other resonances!
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γ p → p π+ π-
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next slide
unpolarized beam and longitudinal target: δl = Λx = Λy = 0
slide after next
longitudinal beam and longitudinal target: δl ≠ 0, Λx = Λy = 0
Spin observable Pz for γ p → p π+ π-
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g9a:Sungkyun Park
FSU: Winston Roberts
Fix & Arenhövel
PRELIM
INARY
Spin observable Pz for γ p → p π+ π-
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Fix & Arenhövel
s
Yuqing Maog9a:
PRELIM
INARY
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FroST results in the full CLAS program for photoproduction from proton
σ Σ T P E F G H Tx Tz Lx Lz Ox Oz Cx Cz
Proton target
pπ0 ✔ ✓ ✓ ✓ ✓ ✓ ✓ ✓
nπ+ ✔ ✓ ✓ ✓ ✓ ✓ ✓ ✓
pη ✔ ✓ ✓ ✓ ✓ ✓ ✓ ✓
pη’ ✔ ✓ ✓ ✓ ✓ ✓ ✓ ✓
K+Λ ✔ ✓ ✓ ✔ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✔ ✔
K+Σ0 ✔ ✓ ✓ ✔ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✔ ✔
K0Σ+ ✔ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✔ ✔
✔ - published ✔ - acquired
Not shown in table: ω and ππ photoproduction observables
Preliminary results shown in this talk
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Conclusions • Spin observables will
tremendously aid in sleuthing out resonance parameters and finding missing resonances (if they exist)
• Photon experiments in Hall-B with FroST at JLab have acquired hundreds of data points yielding clues to the missing resonances
• For most reaction channels, we will have data sufficient for a nearly complete experiment
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Conclusions (cont’d)
• For K Λ and K Σ channels, we will have a complete experiment
• Double-pion observables offer a “next generation” probe of reaction mechanisms and resonances
• Data for some reactions and some observables are nearing the publication stage, but much work remains – STAY ON THE CASE!
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Acknowledgements
CLAS Collaboration
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Molte grazie!
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Circ
ular
pol
ariza
tion
Circular polarization from 100% polarized electron beam
• Circular photon beam from longitudinally- polarized electrons
• Incident electron beam polarization
> 85%
2
2
3444
kkkkPP e
Circular beam polarization
k = Eγ/Ee
Coun
ts
H. Olsen and L.C. Maximon, Phys. Rev. 114, 887 (1959) B. G. Ritchie - MENU 2013 - October 2013
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Linearly polarized photons
• Coherent bremsstrahlung from 50-μ oriented diamond
• Two linear polarization states (vertical & horizontal)
• Analytical QED coherent bremsstrahlung calculation fit to actual spectrum (Livingston/Glasgow)
• Vertical 1.3 GeV edge shown
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FroST target • Butanol composition: C4H9OH
• C and O are even-even nuclei → No polarization of the bound nucleons
• Carbon target used to represent bound nucleon contribution of butanol
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Slide from Chris Keith
FroST target
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Slide from Chris Keith
FroST target
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Slide from Chris Keith
FroST target
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Slide from Chris Keith
FroST target
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Slide from Chris Keith