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Pion and Kaon PhotoproductionCésar Fernández-RamírezTheory Center, Jefferson Lab
1Theory Jamboree
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Info
• Academic and professional experience
• 2001, Licentiate, Universidad Complutense de Madrid (Spain)
• 2003, MSc, Universidad Complutense de Madrid
• 2002-2006, PhD, Structure of Matter Institute (Spanish Council for Scientific Research) and Universidad Complutense de Madrid
• 2007, Research Assistant, Universidad Complutense de Madrid
• 2007-2009, Postdoc, CTP & LNS, MIT (USA)
• 2009-2011, Postdoc, ECT* (Trento, Italy)
• 2011-2013, “Juan de la Cierva” Research Fellow, Universidad Complutense de Madrid
• 2013-today, Postdoc, JPAC, Theory Center, Jefferson Lab.
• Research interests
• Hadron Spectroscopy
• Regge physics
• Effective Theories of QCD
• Chiral Symmetry Breaking
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Contents
• Neutral Pion Photoproduction in the Near-Threshold Region
• Two Kaon Photoproduction
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Neutral Pion PhotoproductionIn collaboration withA.M. Bernstein (MIT ),D. Hornidge (Mt. Allison U),M.Hilt, L. Tiator (Mainz),A2/CB-TAPS Collaborations (Mainz)
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What for?
• ChPT is the effective field theory of QCD in the low-energy regime
• Testing ChPT we test hadron dynamics in the low-energy regime
• Spontaneous chiral symmetry breaking• i.e. Chiral Symmetry predicts:
• Soft S wave in neutral pion photoproduction. Vanishes in the chiral limit so that its value at threshold is explicitly chiral symmetry breaking
• Unknowns which have to be set from outside the Theory: LECs• Lattice• Experiment
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What for?
• ChPT is the effective field theory of QCD in the low-energy regime
• Testing ChPT we test hadron dynamics in the low-energy regime
• Spontaneous chiral symmetry breaking• i.e. Chiral Symmetry predicts:
• Soft S wave in neutral pion photoproduction. Vanishes in the chiral limit so that its value at threshold is explicitly chiral symmetry breaking
• Unknowns which have to be set from outside the Theory: LECs• Lattice• Experiment
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Questions Arise
• It is an effective theory, so...
What’s the energy range of application?
Are we including all the right degrees of freedom?
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Neutral Pion Photoproduction
• A2 and CB-TAPS collaborations at MAMI
• In the near-threshold region
• High accuracy
• Polarized photons
• LH2 target
• First measurements of photon asymmetry depending on the energy
γp → π0p
σ = dσ/dΩ
Σ ≡σ⊥ − σ
/σ⊥ + σ
Fig. ripped off from Zehr et al. Eur. Phys. J. A 48 (2012) 98
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How Data Look Like
0.12
0.14
0.16
0.18
0.2
0.22
0.24
0.26
0.28
0.3
0 0.5 1 1.5 2 2.5 3
d/d
(!b/
sr)
(rad)
E =163.44 MeV
-0.04
-0.02
0
0.02
0.04
0.06
0.08
0.1
0.12
0 0.5 1 1.5 2 2.5 3 (rad)
E =163.44 MeV
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Multipoles
• Single Energy
• Model independent extraction of S and P waves energy bin by energy bin
• D waves fixed to Born terms
• Empirical
• Taylor expansion in the partial waves + S wave cusp (unitarity)
• Provides consistency test for single energy extraction
• Chiral symmetry is not incorporated in this approach
• HBChPT
• Bernard, Kaiser, Meiβner, Z. Phys. C 70 (1996) 483Bernard, Kaiser, Meiβner, Eur. Phys. J. A 11 (2001) 209F-R, Bernstein, Donnelly, Phys. Lett. B 679 (2009) 41 F-R, Bernstein, Phys. Lett. B 724 (2013) 253
• RBChPT
• Hilt, Scherer, Tiator, Phys. Rev. C 87 (2013) 045204Hilt, Lehnhart, Scherer, Tiator, Phys. Rev. C 88 (2013) 055207
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Multipoles
-1.4
-1
-0.6
-0.2
Re
E 0+
(10-3
/m+ )
-0.35
-0.25
-0.15
Re
E 1+/
q (1
0-3/m
2 + )
6.67.07.47.88.28.6
Re
M1+
/q (1
0-3/m
2 + )
-3.8
-3.4
-3.0
-2.6
-2.2
140 150 160 170 180 190
Re
M1-
/q (1
0-3/m
2 + )
E (MeV)
EmpiricHBChPTRBChPT
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Multipoles
-1.4
-1
-0.6
-0.2
Re
E 0+
(10-3
/m+ )
-0.35
-0.25
-0.15
Re
E 1+/
q (1
0-3/m
2 + )
6.67.07.47.88.28.6
Re
M1+
/q (1
0-3/m
2 + )
-3.8
-3.4
-3.0
-2.6
-2.2
140 150 160 170 180 190
Re
M1-
/q (1
0-3/m
2 + )
E (MeV)
EmpiricHBChPTRBChPT
D-wave uncertainty
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Multipoles
-1.4
-1
-0.6
-0.2
Re
E 0+
(10-3
/m+ )
-0.35
-0.25
-0.15
Re
E 1+/
q (1
0-3/m
2 + )
6.67.07.47.88.28.6
Re
M1+
/q (1
0-3/m
2 + )
-3.8
-3.4
-3.0
-2.6
-2.2
140 150 160 170 180 190
Re
M1-
/q (1
0-3/m
2 + )
E (MeV)
EmpiricHBChPTRBChPT
D-wave uncertainty
First model-independent extraction of the S and P waves
Hornidge et al., Phys. Rev. Lett. 111 (2013) 062004
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Multipoles
-1.4
-1
-0.6
-0.2
Re
E 0+
(10-3
/m+ )
-0.35
-0.25
-0.15
Re
E 1+/
q (1
0-3/m
2 + )
6.67.07.47.88.28.6
Re
M1+
/q (1
0-3/m
2 + )
-3.8
-3.4
-3.0
-2.6
-2.2
140 150 160 170 180 190
Re
M1-
/q (1
0-3/m
2 + )
E (MeV)
EmpiricHBChPTRBChPT
D-wave uncertainty
First model-independent extraction of the S and P waves
Hornidge et al., Phys. Rev. Lett. 111 (2013) 062004
10
Electroproduction, JLab Hall A, E04-007
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χ2/dof depending on max energy/amount of data
1
1.5
2
2.5
3
3.5
4
155 160 165 170 175 180 185 190 195Emax (MeV)
2/dof
EmpiricalHBChPT
U-HBChPTBChPT
100127
154181
208237
266297
328359
390421
452483
514
Amount of experimental data11
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χ2/dof depending on max energy/amount of data
1
1.5
2
2.5
3
3.5
4
155 160 165 170 175 180 185 190 195Emax (MeV)
2/dof
EmpiricalHBChPT
U-HBChPTBChPT
100127
154181
208237
266297
328359
390421
452483
514
Amount of experimental data11
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χ2/dof depending on max energy/amount of data
1
1.5
2
2.5
3
3.5
4
155 160 165 170 175 180 185 190 195Emax (MeV)
2/dof
EmpiricalHBChPT
U-HBChPTBChPT
100127
154181
208237
266297
328359
390421
452483
514
Amount of experimental data11
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χ2/dof depending on max energy/amount of data
1
1.5
2
2.5
3
3.5
4
155 160 165 170 175 180 185 190 195Emax (MeV)
2/dof
EmpiricalHBChPT
U-HBChPTBChPT
100127
154181
208237
266297
328359
390421
452483
514
Amount of experimental data11
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χ2/dof depending on max energy/amount of data
1
1.5
2
2.5
3
3.5
4
155 160 165 170 175 180 185 190 195Emax (MeV)
2/dof
EmpiricalHBChPT
U-HBChPTBChPT
100127
154181
208237
266297
328359
390421
452483
514
Amount of experimental data11
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χ2/dof depending on max energy/amount of data
1
1.5
2
2.5
3
3.5
4
155 160 165 170 175 180 185 190 195Emax (MeV)
2/dof
EmpiricalHBChPT
U-HBChPTBChPT
100127
154181
208237
266297
328359
390421
452483
514
Amount of experimental data11
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χ2/dof depending on max energy/amount of data
1
1.5
2
2.5
3
3.5
4
155 160 165 170 175 180 185 190 195Emax (MeV)
2/dof
EmpiricalHBChPT
U-HBChPTBChPT
100127
154181
208237
266297
328359
390421
452483
514
Amount of experimental data
Δ?
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More on Δ• πN has a big improvement if Δ is incorporated in relativistic ChPT
• Large Nc limit
• Δ is necessary to get a consistent scheme
• Fine interconnection between Δ and nucleons in loops
• Impact in peripheral charge density and magnetization
• Needed to get consistent connection with LQCD computations of gA
• Vector mesons in neutral pion photoproduction?
Alarcón, Martín Camalich, Oller, Ann. Phys. 336 (2013) 413
Edwards et al. (LHPC Collaboration), Phys. Rev. Lett. 96 (2006) 052001Bratt et al. (LHPC Collaboration), Phys. Rev. D 82 (2010) 094502
Granados, Weiss, arXiv:1308.1634 [hep-ph]Calle Cordón, Goity, Phys. Rev. D 87 (2013) 016019
Flores-Mendieta, Hofmann, Jenkins, Manohar, Phys. Rev. D 62 (2000) 034001Jenkins, Phys. Rev. D 53 (1996) 2625
Working on vector mesons for form factors, ChPT with large Nc, Flores-Mendieta, F-R, Goity
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Two Kaon PhotoproductionA JPac effort V. Mathieu (IU), M. Shi (JLab & Peking U.), A. Szczepaniak (IU & JLab)R. Workman (GWU)
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Motivation: SpectroscopyRemember Raúl’s talk
500
1000
1500
2000
2500
3000
i.e. AlekSejevs et al. (GlueX Collaboration), PR-13-003, PAC40 Approved
Fig. from Dudek et al. (HS Collaboration), arXiv:1309.2608 [hep-lat]
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Dalitz Plot
Fig. taken from Peng’s talk
mpippi020.08 0.1 0.12 0.14 0.16 0.18
mpi
ppim
2
0.08
0.1
0.12
0.14
0.16
0.18
0.2
mpippim2:mpippi02 mpippim2>0&&mpippi02>0.06
sπ+π0
sπ+π−
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Dalitz Plot
mpippi020.08 0.1 0.12 0.14 0.16 0.18
mpi
ppim
2
0.08
0.1
0.12
0.14
0.16
0.18
0.2
mpippim2:mpippi02 mpippim2>0&&mpippi02>0.06
Disclaimer: Not fully accurate comparison 15
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K+K-p Dalitz PlotArtistic(?) Representation
sK+K−
sK−p
sK+K−
sK−pfixed s
γp → K+K−p16
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K+K-p Dalitz PlotArtistic(?) Representation
sK+K−
sK−p
sK+K−
sK−pfixed s
γp → K+K−p16
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K+K-p Dalitz PlotArtistic(?) Representation
sK+K−
sK−p
sK+K−
sK−pfixed s
Baryon
γp → K+K−p16
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K+K-p Dalitz PlotArtistic(?) Representation
sK+K−
sK−p
sK+K−
sK−pfixed s
BaryonMeson
γp → K+K−p16
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K+K-p Dalitz PlotArtistic(?) Representation
sK+K−
sK−p
sK+K−
sK−pfixed s
Double Regge
BaryonMeson
γp → K+K−p16
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K+K-p Dalitz PlotArtistic(?) Representation
sK+K−
sK−p
sK+K−
sK−pfixed s
Double Regge
BaryonMeson
γp → K+K−p
At JLab we will be able to disentangle these three limits
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K+K-p Dalitz PlotArtistic(?) Representation
sK+K−
sK−p
sK+K−
sK−pfixed s
Double Regge
BaryonMeson
γp → K+K−p16
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K+K-p Dalitz PlotArtistic(?) Representation
Double Regge
Meson
Regge phenomenologyPomeronBFKL:
Check out Andrey’s talk
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Under Construction
• We are building the pieces and putting them together
• Stay tuned
CEBAF construction© Jefferson Lab.
17