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Do we have sufficient data for an amplitude analysis of meson production?. K. Nakayama University of Georgia. Collaboration: M. Döring, J. Haidenbauer, C. Hanhart, S. Krewald, U.-G. Meiβner, and D. Rönchen ….. (JZ-Jülich) F. Huang and K. Nakayama ………………………………………………..……. (UGA-Athens/GA)

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Do we have sufficient data for an amplitude analysis of meson production
Do we have sufficient data for an amplitude analysis of meson production?

K. Nakayama

University of Georgia

Collaboration:

M. Döring, J. Haidenbauer, C. Hanhart, S. Krewald, U.-G. Meiβner, and D. Rönchen ….. (JZ-Jülich)

F. Huang and K. Nakayama ………………………………………………..……. (UGA-Athens/GA)

H. Haberzettl …………………………………………................................ (GWU-Washington/DC)

EIC Workshop: Physics with Secondary Hadron Beams in 21st Century

April 7, 2012 , GWU


Hadron spectroscopy to help ultimately understand the confinement property of qcd
Hadron Spectroscopy: meson production?to help ultimately understand the confinement property of QCD

  • Baryon spectroscopy (mandatory):

     Tools: hadro- and photo-induced reactions for studying baryon resonances

     Relevant degrees-of-freedom: QCD  quarks and gluons

    Experiment  hadrons (baryons and mesons)

     From experiment to QCD: reaction theory needed to extract the relevant quantities from

    experiment which can be connected directly to QCD and/or

    QCD-based models.

     Reaction Theory: dynamical coupled-channels (DCC) approaches:

    (EBAC, JAW, DMT, Utrecht-Ohio, …)

     analyticity  causality

     unitarity  channel couplings

     gauge invariance (photo-induced reactions)

    . . .

    JAW = Jülich-Athens/GA-Washington/DC


Hadron spectroscopy to help ultimately understand the confinement property of qcd1
Hadron Spectroscopy: meson production?to help ultimately understand the confinement property of QCD

  • Data Analysis (extraction of resonances):

     If complete and accurate experimental data were available:

     unique partial-wave amplitude A(W) as a function of energy W.

     analytically continue A(W) to the complex energy-plane to extract the resonance poles

    and residues (transition form factors).

     But, data are not complete and have error-bars:

     reaction models for A(W) constrained by incomplete data with finite accuracy.

     DCC approaches to A(W) (EBAC, JAW, DMT, …):

    analytic

    unitary (coupled-channels:pN, hN, KL, KS, ppN, sN, rN, pD, … )

    gauge invariant

    . . .

     Necessity of new generation of data for modern coupled-channels analyses:

     photo-induced reactions: recent, high precision, some aiming for complete

    experiments) (JLAB, MAMI, ELSA, Spring8, GRAAL, … )

     hadro-induced reactions: scarce, low-precision, old (60’-80’).


Channel opennings hadro photo induced reactions
Channel opennings: meson production?hadro- & photo-induced reactions

channel opennings

1708 (+/- 150)

1433

1810

1076

1215

1486

1611

1688

1722

1896

1958

W (MeV)

Np

Npp

Nh

KL

KS

Nw

Nh’

Nf

KN

Nr

KX

  • one-meson productions:

  • gN, pN pN, hN, KL, KS, rN, wN, h’N, fN … (two-body reactions)

  • KN  KN, …

  • KN  KX, KKW …

  • two-meson productions:

  • gN, pN ppN, phN, … (three-body reactions)

  • gN, pN  KKX, KKKW ...


Do we have sufficient data for an amplitude analysis of meson production

meson production data in hadronic reactions: meson production?

current situation


Baryons resonance energy region s 1 2 3 gev
Baryons: meson production?resonance-energy region [s1/2 < 3 GeV]


Do we have sufficient data for an amplitude analysis of meson production

Overview of the data for pion-induced reactions < 3 GeV meson production?

pN pN (SAID PWA):

S11,S31,P11,P31, …, H19,H39 (SES) [ND~1558]


Do we have sufficient data for an amplitude analysis of meson production

Database for EBAC DCC model meson production?(courtesy: H. Lee)

Pion-induced

reactions

(purely strong

reactions)

SAID

~ 28,000 data points to fit

Photo-

production

reactions


Do we have sufficient data for an amplitude analysis of meson production

Overview of the data for pion-induced reactions < 3 GeV meson production?

pN pN (SAID PWA):

S11,S31,P11,P31, …, H19,H39 (SES) [ND~1558]


P n p n partial wave amplitudes w 2 6 gev said
p meson production? NpN: partial-wave amplitudes [W < 2.6 GeV] (SAID)

Curves:

Jülich

DCC

model

2012


P n p n partial wave amplitudes w 2 6 gev said1
p meson production? NpN: partial-wave amplitudes [W < 2.6 GeV] (SAID)

Curves:

Jülich

DCC

model

2012


P n p n partial wave amplitudes w 2 6 gev said2
p meson production? NpN: partial-wave amplitudes [W < 2.6 GeV] (SAID)

Curves:

Jülich

DCC

model

2012


Existing data p p h n s w 2 3 gev
Existing data: meson production?p-p h n, s [W < 2.3 GeV]

p- p h n

Curve:

Jülich

DCC

model

2012

various inconsistent data

Detailed overview (selection & rating):

Clajus & Nefkens, pN Newsletter 7, 76 (1992)


Existing data p p h n s w 2 3 gev1
Existing data: meson production?p-p h n, s [W < 2.3 GeV]

p- p h n

g p h p

high-precision

Curve:

Jülich

DCC

model

2012

various inconsistent data

Detailed overview (selection & rating):

Clajus & Nefkens, pN Newsletter 7, 76 (1992)


Existing data p p h n d s d w w 2 4 gev
Existing data: meson production?p-p h n, ds/dW [W < 2.4 GeV]

1.49 < W<1.58 GeV

Curves:

Jülich

DCC

model

2012

Prakhov 05

Bayadilov 08

Morrison 00

Kozlenko 03

Debenham 75

Deinet 69 (***)

Richards 70

Feltesse 75

*

various inconsistent data

Detailed overview (selection & rating):

Clajus & Nefkens, pN Newsletter 7, 76 (1992)


Existing data p p h n d s d w w 2 4 gev1
Existing data: meson production?p-p h n, ds/dW [W < 2.4 GeV]

1.59 < W < 1.95 GeV

1.99 < W < 2.41 GeV

Curves:

Jülich

DCC

model

2012

Debenham 75

Deinet 69 (***)

Richards 70

Brown 79 (suggested to be eliminated from the data base)

*

various inconsistent data

Detailed overview (selection & rating):

Clajus & Nefkens, pN Newsletter 7, 76 (1992)


Existing data p p h n hadro vrs photo reaction
Existing data: meson production?p-p h n, hadro- vrs photo-reaction

p- p h n

g p h p

CLAS’09


Do we have sufficient data for an amplitude analysis of meson production

Existing data: meson production?p -p hn, polarization [1.74 < W<2.23 GeV]

1.74 < W < 2.02 GeV

2.07 < W < 2.23 GeV

Curves:

Jülich

DCC

model

2012

1.74 < W < 1.95 GeV

Data: Baker et al., NPB156’79

(suggested to be eliminated from the data base)

some data points > 1

Detailed overview (selection & rating):

Clajus & Nefkens, pN Newsletter 7, 76 (1992)


Existing data p p w n s w 2 3 d s d w w 2 gev
Existing data: meson production?p-p w n, s[W<2.3]& ds/dW[W < 2 GeV]

Data:

Karami et al., NPB154’79

Danburg et al., PRD2’70

Binnie et al., PRD8’73

Data:

Karami et al., NPB154’79

Keyne et al., PRD14’76

Binnie et al., PRD8’73

Danburg et al., PRD2’70

Controversy? :

Sibirtsev & Cassing, EPJA7’00

Titov et al., arXiv:nucl-th/0102032

Hanhart et al., arXiv:hep-ph/0107245

Penner & Mosel, arXiv:nucl-th/0111024

needs to be re-measured (HADES at GSI)


Do we have sufficient data for an amplitude analysis of meson production

Existing data: meson production?p-+n w p, spin density matrices [1.8 < W < 2.3 GeV]

Data:

Danburg et al., PRD2’70

: natural x unnatural parity

t-channel exchange


Existing data p n h n s w 2 3 gev
Existing data: meson production?p N h’ N, s[W < 2.3 GeV]

pN h’N

 large uncertainties

 no other observable exists


Existing data p n h n s w 2 3 gev1
Existing data: meson production?p N h’ N, s[W < 2.3 GeV]

g p  h’ p

high-precision CLAS’09

pN h’N

 large uncertainties

 no other observable exists


Existing data p n r n f n s
Existing data: meson production?p N r N, f N, s

pN rN

pN fN

t > -0.6 GeV2

 large uncertainties

 no other observable exists

HADES at GSI: plan to measure pN rN

W < 1.9 GeV


Existing data p n ky s
Existing data: meson production?pN  KY, s

p- p  K0L

p- p  K+S-

Curves:

Jülich

DCC

model

2012

p- p  K0S0

p+ p  K+S+


Selected data p n ky d s d w
Selected data: meson production?pN  KY, ds/d W

p- p  K0L

p- p  K+S-

Curves:

Jülich

DCC

model

2012

p- p  K0S0

p+ p  K+S+


Selected data p p k 0 l polarization
Selected data: meson production?p -p  K0L , polarization

1.63 < W < 1.8 GeV

1.8 < W < 1.94 GeV

W =2.260, 2.316 GeV

Curves:

Jülich

DCC

model

2012

 very large uncertainties for cos(q) < 0

 several data points > 1


Selected data p p k 0 s 0 polarization
Selected data: meson production?p -p  K0S0 , polarization

1.69 < W < 1.91 GeV

1.94 < W < 2.32 GeV

Curves:

Jülich

DCC

model

2012

  •  large uncertainties

  • data sets not consistent at all points

  • several data points > 1

 data for the K+S- channel are limited

(no polarization data below 2.7 GeV)


Existing data p p k 0 l k s spin rotation parameter
Existing data: meson production?p -p  K0L, K+S+, spin rotation parameter

p+ p  K0L

1.85 < W < 2.26 GeV

Curves:

Jülich

DCC

model

2012

p+ p  K+S+


Selected data p n pp n s d s d w
Selected data: meson production?pN ppN, s & ds/dW

p+ p p+p+n

Curves:

Krewald, IJP’05

Curves:

EBAC, PRC’08

similarly for

p+p p0p0n

p- p p+p-n

PRC58’98

Not many data:

difficulty to constrain N*  sN, rN, pD  ppN

(EBAC, PRC’08)

J-PARC: considering to measure pN ppN


Do we have sufficient data for an amplitude analysis of meson production

some observables: meson production?

sensitivity to model details


J lich dcc model d r nchen m d ring f huang et al 2012
Jülich DCC model: meson production?D. Rönchen, M. Döring, F. Huang et al., 2012

Jülich Hadronic Model (TOPT):

effective ppN

W < 2 GeV


Data sensitivity polarization spin rotation coefficient
Data sensitivity: meson production?polarization & spin rotation coefficient

p+ p  K+S+

polarization

spin rotation parameter

Rönchen et al., 2012 (in preparation)

Döring et al., NPA851’11

Candline et al., NPB311’89

They all fit the cross section data equally well


Data sensitivity p p k s polarization
Data sensitivity: meson production?p -p  K+S + , polarization

p+ p  K+S+

D(1920) P33:

most important resonance invisible in

pN pN but needed in p+p  K+S+


Do we have sufficient data for an amplitude analysis of meson production

Data sensitivity: meson production?g p h’ p , beam asymmetry (Nakayama & Haberzettl, PRC73’06)

ds/dW

S

T: similar sensitivity as S


Model sensitivity cross sections
Model sensitivity: meson production?cross sections

pN h’N

pN fN

Jackson et al., ‘12 (tree-level)

Doering et al., PRC78’08 (UChPT)

t > -0.6 GeV2

they reproduce the NNNNh’

cross section data equally well


Summary database hadr react dismal situation
Summary: meson production?database (hadr. react.): dismal situation

  • Hadro-induced meson production reaction data are badly needed for modern

  • coupled-channels analyses in baryon spectroscopy:

  •  Existing data in the non-strange sector are very scarce, especially the

  • spin observables (no double-polarization observable), and suffer from

  • large uncertainty problem.

  •  Many data are inconsistent with each other (e.g., pN hN) and/or of

  • dubious reliability, requiring to be re-measured.

  •  Better situation in the strangeness sector (KL, KS), although many of

  • the polarization data require to be re-measured due to large uncertainties;

  • only handful data points for double-polarization observable.

  • The lack of data in hadronic reactions is one of the major limitations for

  • developing more accurate coupled-channels models:

  •  Some spin observables are quite sensitivity to the details of the model.

  •  In pN ppN: difficulty to pin down N*  sN, rN, pD  ppN

  • HADES at GSI: pN wN, rN reactions (W< 2.4 GeV); no spin observables.

  • J-PARC:pN  KY, ppN; KN  KX, KKW …


Do we have sufficient data for an amplitude analysis of meson production

The End meson production?


Do we have sufficient data for an amplitude analysis of meson production

g meson production?p h’p :

Red: CBELSA/TAPS’09

Blue: CLAS’09

curves: Huang et al. ‘12


Do we have sufficient data for an amplitude analysis of meson production

NN meson production? NNh’:

data: COSY11’11, …

curves: Huang et al. ‘12

5