Ralf W. Gothe PHYS 745G 1 Motivation: Why Nucleon Transition Form Factors? Consistency: N N...

1Ralf W. Gothe PHYS 745G

Motivation: Why Nucleon Transition Form Factors? Consistency: N N Roper, and other N N* Transitions Outlook: Experiment and Theory

Ralf W. Gothe

SeminarPHYS 745G

Columbia, May 29

Hadron Spectroscopy at CLAS: The Evolution of Strong Degrees of Freedom


Physics Goals

Models Quarks and Gluons as Quasiparticles

ChPT Nucleon and

Mesons

pQCD q, g, qq

< 0.1fm 0.1 – 1.0 fm > 1.0 fm<

Determine the electrocouplings of prominent excited nucleon states (N*, Δ*) in the unexplored Q2 range of 0-5-12 GeV2 that will allow us to: Study the structure of the nucleon spectrum in the domain where dressed

quarks are the major active degree of freedom. Explore the formation of excited nucleon states in interactions of dressed

quarks and their emergence from QCD.

v N

p

p?

!!

?

?

?

!

!


What do we really know?


Quark Model Classification of N*

(1232)

D13(1520)S11(1535)

Roper P11(1440)

+ q³g

+ q³qq

+ N-Meson

+ …


N and Excited States …

Orbital excitations

(two distinct kinds)

Radial excitations(also two kinds)


“Missing” Resonances?

fewer degrees-of-freedom open question: mechanism for q2 formation?

Problem: symmetric CQM predicts many more states than observed (in N scattering) Possible solutions: 1. di-quark model

2. not all states have been found

possible reason: decouple from N-channel model calculations: missing states couple to N, N, N, KY

3. coupled channel dynamicsall baryonic and mesonic excitations beyond the groundstate octets and decuplet are generated by coupled channel dynamics (not only (1405), (1520), S11(1535) or f0(980))

old but always young

new


Emax ~ 6 GeV

Imax ~ 200 A

Duty Factor ~ 100%E/E ~ 2.5 10-5

Beam P ~ 85%

E(tagged) ~ 0.8 - 5.5 GeV

CLAS

The 6 GeV CW Electron Accelerator at JLab


CLAS at JLab


CLAS for Inclusive ep e’X at 4 GeVCLAS

Resonances cannot be uniquely separated in inclusive scattering


CLAS for Exclusive ep e’pX at 4 GeV

1.50. 0.5 1.0

1.0

1.5

2.0

mis

sing

sta

tes

CLAS


SU(6): E1+=S1+=0

N (1232) Transition Form Factors


Multipole Ratios REM, RSM before 1999

Sign?

Q2 dependence?

Data could not determine sign or Q2 dependence


Lattice QCD indicates a small oblate deformation of the (1232) and that the pion cloud makes E1+ /M1+ more negative at small Q2.

Data at low Q2 needed to study effects of the pion cloud.

Need data at low Q2

N (1232) Transition Form Factors


C. Alexandrou et al., PRL, 94, 021601 (2005)

REM (%)

RSM (%)

Quenched LQCD describes REM within error bars, but shows discrepancies with RSM at low Q2 . Pion cloud effects?

Low Q2 Mutipole Ratios for REM, RSM

Need data at low Q2


Low Q2 Mutipole Ratios for REM, RSM

C. Alexandrou et al., PRL, 94, 021601 (2005)

preliminary

Quenched LQCD describes REM within error bars, but shows discrepancies with RSM at low Q2 . Pion cloud effects?

Significant discrepancy between CLAS and Bates/MAMI results for RSM.

C. Smith


Data at even lower Q2 are needed to investigate the pion cloud further.

Data at high Q2 are needed to study the transition to pQCD.

Preliminary Multipole Ratios REM, RSM

preliminaryNeed data at

low Q2


quar

k m

ass

(GeV

)

Quark mass extrapolated to the chiral limit, where q is the momentum variable of the tree-level quark propagator using the Asqtad action.

… resolution

low

high

q

e.m. probe

LQCD (Bowman et al.)

Hadron Structure with Electromagnetic Probes

N,N*,*…

3q-core+MB-cloud

3q-core

pQCD

LQCD, DSE and …


S11 Q3A1/2

F15 Q5A3/2

P11 Q3A1/2

D13 Q5A3/2

F15 Q3A1/2

D13 Q3A1/2

Constituent Counting Rule

A1/2 1/Q3

A3/2 1/Q5

GM 1/Q4*

Quark mass extrapolated to the chiral limit, where q is the momentum variable of the tree-level quark propagator using the Asqtad action.

quar

k m

ass

(GeV

)

Bowman et al. (LQCD)


N → Multipole Ratios REM , RSM

New trend towards pQCD behavior does not show up.

CLAS12 can measure REM and RSM up to Q²~12 GeV².

REM +1

M. Ungaro

GM 1/Q4*

GD = 1

(1+Q2/0.71)2


N → Multipole Ratios REM , RSM

A. Villano

very preliminarye p e'p0

… but the trend that RSM becomes constant in the limit of Q2 → ∞ seems to show up in the latest MAID 2007 analysis of the high Q2 data.


Integrated Target and Beam-Target AsymmetriesA. Biselli

The asymmetries are integrated over * and * in the Q2 range from 0.187 to 0.770 GeV2

and will further reduce the model dependence of the extracted resonance parameters.

e p e'p0


Progress in Experiment and Phenomenology

Dressed quarks (I. Aznauryan, M. Giannini and E. Santopinto, B. Julia-Diaz et al.)Meson-baryon cloud (EBAC)

N

N

N

N

p0

(1232)P33 N(1440)P11 N(1520)D13

Recent experimental and phenomenological efforts show that meson-baryon contributions to resonance formations drop faster with Q2 than contributions from dressed quarks.

A1/2A1/2


Resonance Electrocouplings in Lattice QCD

LQCD calculations of the (1232)P33 and N(1440)P11 transitions have been carried out with large -masses. By the time of the upgrade LQCD calculations of N* electrocouplings will be extended to Q2 = 10 GeV2 near the physical -mass as part of the commitment of the JLab LQCD and EBAC groups in support of this proposal.

(1232)P33 N(1440)P11

see White Paper Sec. II and VIII

Huey-Wen Lin


LQCD & Light Cone Sum Rule (LCSR) Approach

LQCD is used to determine the moments of N* distribution amplitudes (DA) and the N* electrocouplings are determined from the respective DAs within the LCSR framework.

Calculations of N(1535)S11 electrocouplings at Q2 up to 12 GeV2 are already available and shown by shadowed bands on the plot.By the time of the upgrade electrocouplings of others N*s will be evaluated. These studies are part of the commitment of the Univ. of Regensburg group in support of this proposal.

see White Paper Sec. V

N(1535)S11

CLASHall C


Dynamical Mass of Light Dressed Quarks

DSE and LQCD predict the dynamical generation of the momentum dependent dressed quark mass that comes from the gluon dressing of the current quark propagator.

These dynamical contributions account for more than 98% of the dressed light quark mass.

The data on N* electrocouplings at 5<Q2<12 GeV2 will allow us to chart the momentum evolution of dressed quark mass, and in particular, to explore the transition from dressed to almost bare current quarks as shown above.

per dressed quark

Q2 = 12 GeV2 = (p times number of quarks)2 = 12 GeV2 p = 1.15 GeV

DSE: lines and LQCD: triangles


Constituent Quark Models (CQM)

Pion Cloud (EBAC)

|q3+qq(Li, Riska)

3q

Relativistic CQM are currently the only available tool to study the electrocouplings for the majority of excited proton states.This activity represent part of the commitment of the Yerevan Physics Institute, the University of Genova, INFN-Genova, and the Beijing IHEP groups to refine the model further, e.g., by including qq components.

see White Paper Sec. VI

LC CQM

PDG value N N, N combined analysisN(1440)P11:


Phenomenological Analyses

Unitary Isobar Model (UIM) approach in single pseudoscalar meson production

Fixed-t Dispersion Relations (DR) Isobar Model for Nππ final state (JM)

Coupled-Channel Approach (EBAC)

see White Paper Sec. VIII

see White Paper Sec. VII


Unitary Isobar Model (UIM)Nonresonant amplitudes: gauge invariant Born terms consisting of t-channel exchanges and s- / u-channel nucleon terms, reggeized at high W. N rescattering processes in the final state are taken into account in a K-matrix approximation.

Fixed-t Dispersion Relations (DR)Relates the real and the imaginary parts of the six invariant amplitudes in a model-independent way. The imaginary parts are dominated by resonance contributions.

Phenomenological Analyses in Single Meson Production



Legendre Moments of Unpolarized Structure Functions

Q2=2.05GeV2

Two conceptually different approaches DR and UIM are consistent. CLAS data provide rigid constraints for checking validity of the approaches.

K. Park et al. (CLAS), Phys. Rev. C77, 015208 (2008)

I. Aznauryan DR fit w/o P11

I. Aznauryan DR fit

I. Aznauryan UIM fit


Energy-Dependence of+ Multipoles for P11, S11

imaginary partreal part

Q2 = 0 GeV2

The study of some baryon resonances becomes easier at higher Q2.

Q2 = 2.05 GeV2

preliminary


BES/BEPC, Phys. Rev. Lett. 97 (2006)

/J p n /J p n Bing-Song Zou

and

±±

- ±

invariant mass / MC phase space


Nucleon Resonances in Nand N Electroproduction

p(e,e')X

p(e,e'p)

p(e,e'+)n

p(e,e'p+)-

channel is sensitive to N*s heavier than 1.4 GeV

Provides information that is complementary to the N channel

Many higher-lying N*s decay preferentially into N final states

Q2 < 4.0 GeV2

W in GeV


(1232)P33, N(1520)D13, (1600)P33, N(1680)F15

JM Model Analysis of the p+- Electroproduction



JM Mechanisms as Determined by the CLAS 2 Data

Each production mechanism contributes to all nine single differential cross sections in a unique way. Hence a successful description of all nine observables allows us to check and to establish the dynamics of all essential contributing mechanisms.

Full JMcalculation

-

+ +N(1520) D13 +N(1685) F15

p2 direct


Separation of Resonant/Nonresonant Contributions in 2 Cross Sections

Due to the marked differences in the contributions of the resonant and nonresonant parts to the cross sections, the nine observables allow us to neatly disentangle these competing processes.

resonant part nonresonant part


Electrocouplings of N(1440)P11 from CLAS Data

N (UIM, DR)PDG estimation N, N combined analysis N (JM)

The good agreement on extracting the N* electrocouplings between the two exclusive channels (1/2) – having fundamentally different mechanisms for the nonresonant background – provides evidence for the reliable extraction of N* electrocouplings.


Comparison of MAID 08 and JLab analysis

A1/2

S1/2

Roper Electro-Coupling Amplitudes A1/2, S1/2

L. Tiator

MAID 07 and new Maid analysis with Park data MAID 08


N(1520)D13 Electrocoupling Amplitudes A3/2, S1/2

I. Starkovski


Electrocouplings of N(1520)D13 from the CLAS 1/2 data

world data

10-3 G

eV-1

/2

N (UIM, DR)PDG estimation N, N combined analysis N (JM)

Ahel = A1/2

2 – A3/22

A1/22 + A3/2

2

A1/2

A3/2

L. Tiator


CLAS

NworldNworld Q2=0

(1700)D33

N(1720)P13

Higher Lying Resonances form the 2 JM Analysis of CLAS Data

preliminary

The A1/2 electrocoupling of P13(1720) decreases rapidly with Q2. At Q2>0.9 GeV2 |A3/2|>|A1/2|. Will we able to access the Q2 region where the A1/2 amplitude of P13(1720) dominates?


Combined 1-2 Analysis of CLAS Data

PDG at Q2=0

2 analysis

1-2 combined at Q2=0.65 GeV2

Previous world data

preliminary


CLAS12 Detector Base Equipment


Inclusive Structure Function in the Resonance Region

P. Stoler, PRPLCM 226, 3 (1993) 103-171


CLAS 12 Kinematic Coverage and Counting Rates

Genova-EG

Genova-EG

SI-DIS

(e',+) detected

(e',p) detected

(e’,+) detected

(E,Q2) (5.75 GeV, 3 GeV2) (11 GeV, 3 GeV2) (11 GeV, 12 GeV2)

N+ 1.41105 6.26106 5.18104

Np - 4.65105 1.45104

Np - 1.72104 1.77104

60 days

L=1035 cm-2 sec-1, W=1535 GeV, W= 0.100 GeV, Q2 = 0.5 GeV2


Angular Acceptance of CLAS12

+ Acceptance for cos= 0.01

Full kinematical coverage in W, Q2, , and


1.5 < W < 2 GeV

60 MeV

1.5 < W < 2 GeV

10 MeV

W < 2 GeV

3

2

W and Missing Mass Resolutions with CLAS12

W calculated from

electron scattering exclusive p+ final state

2)( pPqW ep e'p' +X2)(

PPPW p

Final state selectionby Missing Mass

MX2 (GeV2)

FWHM FWHM


Kinematic Coverage of CLAS12

60 daysL= 1035 cm-2 sec-1, W = 0.025 GeV, Q2 = 0.5 GeV2

Genova-EG (e’,p) detected

W GeV

Q2 G

eV2 2 limit > 1 limit >

2 limit > 1 limit >

1 limit >


Summary We will measure and determine the electrocouplings A1/2, A 3/2, S1/2 as a function of

Q2 for prominent nucleon and Δ states, see our Proposal http://www.physics.sc.edu/~gothe/research/pub/nstar12-12-08.pdf.

Comparing our results with LQCD, DSE, LCSR, and rCQM will gain insight into the strong interaction of dressed quarks and their confinement in baryons, the dependence of the light quark mass on momentum transfer, thereby shedding light on

chiral-symmetry breaking, and the emergence of bare quark dressing and dressed quark interactions from QCD.

This unique opportunity to understand origin of 98% of nucleon mass is also an experimental and theoretical challenge. A wide international collaboration is needed for the: theoretical interpretation on N* electrocouplings, see our White Paper

http://www.physics.sc.edu/~gothe/research/pub/white-paper-09.pdf, and development of reaction models that will account for hard quark/parton contributions at

high Q2.

Any constructive criticism or direct participation is very welcomed, please contact: Viktor Mokeev [email protected] or Ralf Gothe [email protected].


Conclusion: Do Exclusive Electron Scattering

Q2 = 2.05 GeV2

D13(1520)

D13(1520)

... to

Learn QCD!


Supplement

55Ralf W. Gothe PHYS 745G 55

Nucleon Resonance Studies with CLAS12

D. Arndt4, H. Avakian6, I. Aznauryan11, A. Biselli3, W.J. Briscoe4, V. Burkert6, V.V. Chesnokov7, P.L. Cole5, D.S. Dale5, C. Djalali10, L. Elouadrhiri6, G.V. Fedotov7,

T.A. Forest5, E.N. Golovach7, R.W. Gothe*10, Y. Ilieva10, B.S. Ishkhanov7, E.L. Isupov7, K. Joo9, T.-S.H. Lee1,2, V. Mokeev*6, M. Paris4, K. Park10, N.V. Shvedunov7, G. Stancari5, M. Stancari5, S. Stepanyan6, P. Stoler8, I. Strakovsky4, S. Strauch10, D. Tedeschi10, M. Ungaro9, R. Workman4,

and the CLAS Collaboration

JLab PAC 34, January 26-30, 2009

Argonne National Laboratory (IL,USA)1, Excited Baryon Analysis Center (VA,USA)2,Fairfield University (CT, USA)3, George Washington University (DC, USA)4,

Idaho State University (ID, USA)5, Jefferson Lab (VA, USA)6,Moscow State University (Russia)7, Rensselaer Polytechnic Institute (NY, USA)8,University of Connecticut (CT, USA)9, University of South Carolina (SC, USA)10,

and Yerevan Physics Institute (Armenia) 11

SpokespersonContact Person*

56Ralf W. Gothe PHYS 745G 56

Theory Support Group

V.M. Braun8, I. Cloët9, R. Edwards5, M.M. Giannini4,7, B. Julia-Diaz2, H. Kamano2, T.-S.H. Lee1,2, A. Lenz8, H.W. Lin5, A. Matsuyama2, M.V. Polyakov6, C.D. Roberts1,

E. Santopinto4,7, T. Sato2, G. Schierholz8, N. Suzuki2, Q. Zhao3, and B.-S. Zou3

JLab PAC 34, January 26-30, 2009

Argonne National Laboratory (IL,USA)1,Excited Baryon Analysis Center (VA,USA)2,

Institute of High Energy Physics (China)3, Istituto Nazionale di Fisica Nucleare (Italy)4,

Jefferson Lab (VA, USA)5,Ruhr University of Bochum (Germany)6,

University of Genova (Italy)7,University of Regensburg (Germany)8,

and University of Washington (WA, USA)9


Physics Goals

Measure differential cross sections and polarization observables in single and double pseudoscalar meson production: +n0p, p and +p over the full polar and azimuthal angle range.

Determine electrocouplings of prominent excited nucleon states (N*, Δ*) in the fully unexplored Q2 range of 5-12 GeV2 and extend considerably the data base on fundamental form factors of nucleon states, which is needed to explore the confinement in the baryon sector.

These data for the first time will allow us to: Study the structure of the nucleon spectrum in the domain where dressed

quarks are the major active degree of freedom. Explore the formation of excited nucleon states in interactions of dressed

quarks and their emergence from QCD.

“ultimate goal”

“address more sharply”


Projected A1/2 Helicity AmplitudesCLAS published

CLAS preliminary

CLAS12 projected


Angular Acceptance of CLAS12

+ Acceptance for cos= 0.01

Full kinematical coverage in W, Q2, , and


preliminary

S11(1535) Electro-Coupling Amplitudes A1/2, S1/2

electro-production (UIM, DR)

PDG estimation

production (SQTM S11, D13 analysis)

K. Park (Data) I. Aznauryan (UIM)

production (UIM, DR)

nr |q3

LF |q3

LF |q3nr |q3

nr |q3LF |q3

LF |q3

nr |q3


preliminary

D13(1520) Helicity Asymmetry

Ahel = A1/2

2 – A3/22

A1/22 + A3/2

2

A1/2

A3/2


direct 2production

Full calculationsp -++

p +0

p p

p -++(1600)

p +F015(1685)

p +D13(1520)

The combined fit of nine single differential cross sections allowed to establish all significant mechanisms.

Isobar Model JM05

Contributing Mechanisms to p → p+-


Separation of Resonant/Nonresonant Contributions in 2 Cross Sections

full cross sections

resonant part

non-resonant part

The reliable resonant / non-resonant cross section separation allows to isolate the N* contribution and demonstrates the degree of model independence.


Helicity Asymmetry in 2 ProductionCLAS

parity conservation

Calculations: Mokeev (dashed) Fix (solid)

S. Strauch


Helicity Asymmetry in 2 Production

Sequential Decay of the D13(1520) resonance via … or higher lying resonances

CLAS S. Strauch

Ralf W. Gothe PHYS 745G 1 Motivation: Why Nucleon Transition Form Factors? Consistency: N N...

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