Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis

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1 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis Petersburg Nuclear Physics Institute A. Sarantsev HISKP (Bonn), PNPI (Russia) NSTAR 7- May, JLAB, USA

2 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR Bonn-Gatchina partial wave analysis group: A. Anisovich, E. Klempt, V. Nikonov, A. Srantsev, U. Thoma

3 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 3 Search for baryon states. Analysis of single meson and double meson photoproduction reactions. γp πn, ηn, KΛ, KΣ, ππn, πηn, CB-ELSA, CLAS, GRAAL, LEPS.. Analysis of single meson and double meson pion-induced reactions. πn πn, ηn, KΛ, KΣ, ππn. Search for meson states. Analysis of the p p annihilation at rest and ππ interaction data.. Analysis of the p p annihilation in flight into two and tree meson final state. 3. Analysis of the J/Ψ decays (BES III collaboration). Analysis of N N interaction. Analysis of single and double meson production NN πnn and ππnn. Analysis of hyperon production NN KΛp

4 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 4 Energy dependent approach In many cases an unambiguous partial wave decomposition at fixed energies is impossible. Then the energy and angular parts should be analyzed together: A(s, t) = ββ n A ββ n (s)q (β)+ µ...µ n F µ...µ n ν...ν n Q (β ) ν...ν n. C. Zemach, Phys. Rev. 4, B97 (96); 4, B9 (96).. S.U.Chung, Phys. Rev. D 7, 43 (998). 3. A.V. Anisovich et al. J. Phys. G 8 () V. V. Anisovich, M. A. Matveev, V. A. Nikonov, J. Nyiri and A. V. Sarantsev, Hackensack, USA: World Scientific (8) 8 p. Correlations between angular part and energy part are under control.. Unitarity and analyticity can be introduced from the beginning. 3. Parameters are be fixed from combined fit of many reactions.

5 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR πn vertices N + µ...µ n = X (n) µ...µ n N µ...µ n = iγ ν γ X (n+) νµ...µ n () Q (+)µ α...α n Q (+)µ α...α n Q (3+)µ α...α n γn vertices = γ µ iγ X α (n)...α n, Q ( )µ α...α n = γ ν iγ X µνα (n+)...α n, Q ( )µ α...α n = γ ν iγ X να (n+)...α n gµα n, Q (3 )µ α...α n = γ ξ γ µ O (n+) ξα...α n, = X (n+) µα...α n, = X (n ) α...α n g α µ. Fermion propagator for J = N + F µ...µ L ν...ν L (p) = (m+ ˆp)O µ...µ L L + ( α...α L g L+ α β L L+ σ ) L α β g αi β i O β...β L ν...ν L i= σ αi α j = (γ α i γ αj γ αj γ αi )

6 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 6 Combined analysis of pion- and photo-production data: For pion induced reactions: A i = K j (I iρk) ji and K ij = α g α i gα j M α s + f ij(s) f ij = f () ij + f () ij s s s ij. where f ij is nonresonant transition part. For the photoproduction: A k = P j (I iρk) jk The vector of the initial interaction has the form: P j = α Λ α g α j M α s + F j(s) Here F j is nonresonant production of the final state j.

7 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 7 Reggezied exchanges: γ(k ) π(q ) γ(k ) p(q ) ρ(k t ) N(k u ) p(k ) p(q ) p(k ) π(q ) The amplitude for t-channel exchange: A = g (t)g (t)r(ξ, ν, t) = g (t)g (t) + ξexp( iπα(t)) sin(πα(t)) ν ν α(t) ν = (s u). Here α(t) is Reggion trajectory, and ξ is its signature: R(+, ν, t) = e i π α(t) sin( π α(t))γ α(t) ν ν α(t), R(, ν, t) = ie i π α(t) cos( π α(t))γ α(t) + ν ν α(t).

8 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 8 N/D based analysis of the data In the case of resonance contributions only we have factorization and Bethe-Salpeter equation can be easily solved: π η K J m J K m δ JK π η K A jm = A jk α B km α (s) M m s + δ jm M j s B km α (s) = 4m α Â = ˆκ(I ˆBˆκ) κ ij = δ ij M i s B ij = α ds π g (k) α Bα km (s) (s )ρ α (s )g (m) α (s ) s s i There is no factorization for non-resonant contributions: for every non-resonant transition to introduce a vertices and propagator (e.g. R = ). Bα km (s) = Bα km (Ms ) + (s Ms ) 4m α ds π g (k) α (s )ρ α (s )g α (m) (s ) (s s i)(s Ms )

9 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 9 Data Base Pion induced reactions (χ analysis). Observable N data χ N data Observable N data χ N data N / S (πn πn). SAID (.) / S 3 (πn πn).3 SAID (.) N / + P (πn πn).49 SAID (.) / + P 3 (πn πn) SAID (.) N 3/ + P 3 (πn πn).33 SAID (.) 3/ + P 33 (πn πn).79 SAID (.) N 3/ D 3 (πn πn) 8. SAID (.) 3/ D 33 (πn πn) 8.47 SAID (.) N / D (πn πn) 4.37 SAID (.4) N 7/ G 7 (πn πn).4 SAID (.4) N / + F (πn πn) 88.7 SAID (.) / + F 3 (πn πn) 6.4 SAID (.) N 7/ + F 7 (πn πn) 8.98 SAID (.) 7/ + F 37 (πn πn) 7.7 SAID (.) N 9/ G 9 (πn πn) 74.8 SAID (.) N 9/ + H 9 (πn πn) 86.6 SAID (.) dσ/dω(π p nη) 7.8 Richards et al. dσ/dω(π p nη) CBALL dσ/dω(π p KΛ) RAL P (π p KΛ) 3.67 RAL+ANL β(π p KΛ) 7.4 RAL dσ/dω(π + p K + Σ) 69. RAL P (π + p K + Σ) RAL β(π + p K + Σ) 7.8 RAL dσ/dω(π p K Σ ) 9.88 RAL P (π p K Σ ) 9.3 RAL

10 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR Data Base π and η photoproduction reactions (χ analysis). χ Observable N χ data Observable N N data data N data dσ/dω(γp pπ ) 6.6 CB-ELSA dσ/dω(γp pπ ) 86.8 GRAAL dσ/dω(γp pπ ) 9.7 CLAS dσ/dω(γp pπ ) 69. TAPS@MAMI Σ(γp pπ ) 4.7 CB-ELSA Σ(γp pπ ) SAID db E(γp pπ ) 4.4 A-GDH P(γp pπ ) SAID db T(γp pπ ) SAID db H(γp pπ ) 7.7 SAID db G(γp pπ ) 7.7 SAID db O x (γp pπ ) 7.4 SAID db O z (γp pπ ) 7.7 SAID db dσ/dω(γp nπ + ) CLAS dσ/dω(γp nπ + ) 83.3 SAID db dσ/dω(γp nπ + ) 48. A-GDH Σ(γp nπ + ) SAID db E(γp nπ + 3. A-GDH P(γp nπ + ). SAID db T(γp nπ + ) SAID db H(γp pπ + ) 7 4. SAID db G(γp pπ + ) SAID db dσ/dω(γp pη) 68.3 CB-ELSA dσ/dω(γp pη).6 TAPS Σ(γp pη).9 GRAAL 98 Σ(γp pη).43 GRAAL 7 T (γp pη).39 Phoenics

11 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR Data Base Kaon photoproduction (χ analysis). Observable N data χ N data Observable N data χ N data dσ/dω(γp ΛK + ) 3.78 CLAS9 dσ/dω(γp Σ K + ) 8.98 CLAS P(γp ΛK + ) 7.7 CLAS9 P(γp Σ K + ) 9.3 CLAS C x (γp ΛK + ) 6.44 CLAS C x (γp Σ K + ) CLAS C z (γp ΛK + ) 6.3 CLAS C z (γp Σ K + ) 94.6 CLAS Σ(γp ΛK + ) GRAAL Σ(γp Σ K + ) 4.8 GRAAL Σ(γp ΛK + ) 4.34 LEP Σ(γp Σ K + ) 4.3 LEP T(γp ΛK + ) 66.3 GRAAL 9 dσ/dω(γp Σ + K ) CLAS O x (γp ΛK + ) 66.7 GRAAL 9 dσ/dω(γp Σ + K ) 7.67 CB-ELSA O z (γp ΛK + ) GRAAL 9 P(γp Σ + K ) 4.7 CB-ELSA P(γp ΛK + ) 84.6 GRAAL Σ(γp Σ + K ).39 CB-ELSA

12 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR Data Base Multi-meson final states (maximum likelihood analysis). dσ/dω(π p nπ π ) CBALL dσ/dω(γp pπ π ) CB-ELSA (.4 GeV) E(γp pπ π ) 6.9 MAMI dσ/dω(γp pπ η) CB-ELSA (3. GeV) Σ(γp pπ η) 8.37 GRAAL dσ/dω(γp pπ π ) CB-ELSA (3. GeV) Σ(γp pπ π ) 8.96 GRAAL dσ/dω(γp pπ η) CB-ELSA (3. GeV) Σ(γp pπ η) 8.37 GRAAL I c (γp pπ η) CB-ELSA (3. GeV) I s (γp pπ η) CB-ELSA (3. GeV)

13 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 3 The fit of the the π p KΛ reaction σ tot, mb / / / / + / 3/ + Full experiment for πn KΛ: differential cross section, analyzing power, rotation parameter. A clear evidence for resonances which are hardly seen (or not seen) in the elastic reactions: N(7)P, N(9)P 3, M(πp), MeV The total cross section for the reaction π p K Λ and contributions from leading partial waves.

14 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR dσ/dω, mb/sr π p KΛ (dσ/dω, P, β) P cos θ cm β, rad W=8 W=94 W= W=6 W=7 W= W=6 -.. cos θ cm cos θ cm

15 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR The γp KΛ reaction (CLAS 9) σ tot, µb σ tot, µb 3. / / / / + / 3/ + / / + 3. / / / / + / 3/ + / / M(γp), MeV M(γp), MeV

16 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 6 dσ/dω, µb/sr The fit of the γp KΛ differential cross section (CLAS 9) cos θ cm

17 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 7 - P The fit of the γp KΛ recoil asymmetry (CLAS 9) cos θ cm

18 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 8 The fit of the the π + p K + Σ + reaction.6. σ tot, mb Fit 3/ 3/ + 3/ 7/ + 3/ /.. dσ/dω, mb/sr P M(πp), MeV cos θ cm cos θ cm

19 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 9 The fit of the the π p K Σ reaction... σ tot, mb dσ/dω, mb/sr P M(πp), MeV cos θ cm -.. cos θ cm

20 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR π p nπ π (Crystal Ball) total cross section σ tot, mb Fit of the data P -partial wave D 3 -partial wave S -partial wave M(πp), GeV/c

21 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR π p nπ π (Crystal Ball) Differential cross sections for 47 and 66 MeV/c data. M347 M ( π p) 47 M47 M ( π π) 47 M36 M ( π p) 6 M6 M ( π π) Z47 cos Θ(π) Z347 cos Θ(p) Z6 cos Θ(π) Z36 cos Θ(p) cos Z347 Θ(π p) cos Z47 Θ(ππ) cos Z36 Θ(π p) cos Z6 Θ(ππ)

22 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp pπ π (Crystal Barrel) Differential cross sections. M3M(3)-.6 M ( π p) <M<.6 MM(3)-.6 M ( π π) <M<.6 M3M(3)-.7 M ( π p) <M<.7 MM(3)-.7 M ( π π) <M<.7 M3M(3)-.8 M ( π p) <M<.8 MM(3)-.8 M ( π π) <M< ZM(3)-.6 cos Θ(π) 4 8.<M<.6 Z3M(3)-.6 cos Θ(p) <M<.6 ZM(3)-.7 cos Θ(π) <M<.7 Z3M(3)-.7 cos Θ(p) <M<.7 ZM(3)-.8 cos Θ(π) <M<.8 Z3M(3)-.8 cos Θ(p) <M< Z3M(3)-.6 cos Θ(π p).<m< ZM(3)-.6 cos Θ(ππ).<M< Z3M(3)-.7 cos Θ(π p).6<m< ZM(3)-.7 cos Θ(ππ).6<M< Z3M(3)-.8 cos Θ(π p).7<m< ZM(3)-.8 cos Θ(ππ).7<M<

23 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 3 γp pπ π (Crystal Barrel) Dalitz plots W=.,.6,.7,.8 GeV. Dp(3 vs 3)M(3)-. Dp(3 vs 3)M(3)-. Dp(3 vs 3)M(3)-.6 Dp(3 vs 3)M(3) Dp(3 vs 3)M(3)-.7 Dp(3 vs 3)M(3)-.7 Dp(3 vs 3)M(3)-.8 Dp(3 vs 3)M(3)

24 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 4 γp pπ η (CB-ELSA)with linear polarized photon dσ dω = ( ) dσ { + δ l [I s sin(φ) + I c cos(φ)]}, () dω Σ = π I c dφ

25 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR I c and I s for γp pπ η (CB-ELSA) s Ip. W = 76 ± 64 MeV W = 834 ± 64 MeV W = 946 ± 48 MeV c Ip. W = 76 ± 64 MeV W = 834 ± 64 MeV W = 946 ± 48 MeV s Iπ. c Iπ s Iη. c Iη. -. φ* [ ] -. φ* [ ]

26 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 6 Pole position of baryon states (Re and -Im) in the mass region 9-3 MeV State Solution Solution Arndt Hoehler Cutcosky + 88±3 (Manley) N(87) Re 86± 8 + -Im +3 36±4 3±44 (Manley) N(89) Re 89±8 88± -Im 8± 9±3 N(88) 3 Re 86± 88± -Im 8±6 8±6 N(3) 3 Re 3±4 8± ±7 -Im 34±4 6±4 ±6 + N(9) 3 Re 9±4 9± -Im 7± 3±6 + N() Re ± -Im 3 9 9± N() + N(7) Re ± -Im ±4 Re 6±8 ±6 -Im 37± 36±8 N(99) 7 + -Im 7± 6± 6 6±6 Re 97± 9± 93 9±3 N(9) 7 Re 6± 7 4 ± -Im 3± 48 4±6

27 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 7 S : pole position and Breit-Wigner parameters State Solution Solution Arndt Hoehler Cutcosky N(89) Re 89±8 -Im 8± BW M 9± 88± parameters Γ 77± 9±3 Re T Total a) γp K + Σ, K Σ + b) 8 9 Im T M(πN), GeV γp K + Λ c) γp K + Λ (O x, O z, T) d) 8 9 M, MeV

28 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 8 D 3 : pole positions State Solution Solution Arndt Hoehler Cutcosky N(88) 3 Re 86± 88± -Im 8±6 8±6 N(3) 3 Re 3±4 8± ±7 -Im 34±4 6±4 ±6 Re T γp π + n a) γp K + Σ, K Σ + b) γp K + Λ c) 8 M, MeV Im T M(πN), GeV γp π p d) γp π + n e) γp K + Λ f) 4 M, MeV

29 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 9 D : pole position and Breit-Wigner parameters State Solution Solution Arndt Hoehler Cutcosky N(7) Re 6±8 ±6 -Im 37± 36±8 BW M 7± 8±3 8±8 parameters Γ 36± 3± 4± Re T Im T M(πN), GeV Total a) 9 3 γp π + n c) γp π p, K + Λ b) 9 3 γp ηp d) 9 3 M, MeV

30 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 3 Re T.. G 7 : pole position and Breit-Wigner parameters State Solution Solution Arndt Hoehler Cutcosky N(9) 7 Re 6± 7 4 ± -Im 3± 48 4±6 BW M 8±.4±.4 4± ±7 parameters Γ 9±4 484±3 39±3 ± -. 4 Total a) 4 γp b) 4 3 πp c) Im T M, MeV M(πN), GeV

31 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 3 P : pole position and Breit-Wigner parameters State Solution Solution Manley + N(87) Re 86± ±3 -Im +3 36±4 3±44 BW M 864± 863± parameters Γ ± 3±3 BG- BG- Re T Im T Re T Im T M(πN), GeV M(πN), GeV

32 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 3 P 3 : pole position and Breit-Wigner parameters State Solution Solution Arndt Hoehler Cutcosky + N(9) 3 Re 9± 89± -Im 3± N(9) 3 + Re - 97± -Im - ±6 BG- BG- Re T. Re T Im T M(πN), GeV Im T M(πN), GeV

33 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 33 Pole position of F : two and three pole solution State Solution Solution Arndt Hoehler Cutcosky + N() Re ± -Im ± N() + Re Im 6± 4± Re T.4 Re T Im T.6 Im T M(πN), GeV M(πN), GeV

34 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 34 Pole position of F 7 and helicity couplings (absolute value ( 3 GeV )/phase (degrees) State Solution A( )/A( 3 ) Solution A( )/A( 3 ) + N(99) 7 Re 98± /4 o ±3 76/ o -Im 8±3 8/3 o 3±6 78 / 4 o Re T... Σ Im T M(πN), GeV cos θ

35 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 3 Holographic QCD (AdS/QCD) L, S, N κ gd Resonance Pred.,, N(94) input:.94, 3, (3).7,, N(44).4,, N(3) N().3 4, 3, N(6) N(7) N(67).64,, (6) (7) L, S, N =, 3,: (6).64,, N(7) N(68) L, S, N =,,: N(7).7,, N(89) N(88).8 4, (9) (94) (93).9, 3, 3, (9) (9) (9) (9).9, 3, N(87) N(9) N(88) N(98).9,,3 N(????).3 3,, N(7) N(8) L, S, N =,,: N(????) N(????). 4 3, 3, N() N() L, S, N =,,: (3) (). 4,, N().7 4, 3, (39) (3) (4) L, N =3,: (4).43 (3),, N(6).7 4

36 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 36 Parity doublets of N and resonances at high mass region Parity doublets must not interact by pion emission and could have a small coupling to πn. J= J= 3 J= J= 7 J= 9 N / +(88) * N / (89) * / +(9) **** / (9) a ** N 3/ +(9) ** N 3/ (87) ** 3/ +(94) a *** 3/ (99) a * N / +(88) ** N / (7) / +(94) **** / (93) a *** N 7/ +(98) ** N 7/ (7) **** 7/ +(9) **** 7/ () * N 9/ +() **** N 9/ () **** 9/ +(3) ** 9/ (4) a ** J= J= 7 J= 9 N / +() ** N / (7) / +(94) **** / (93) a *** N 7/ +() ** N 7/ (6) **** 7/ +(9) **** 7/ () * N 9/ +() **** N 9/ () **** 9/ +(3) ** 9/ (4) a **

37 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 37 Summary The analysis of (almost) all available data for production of baryons in the pion and photo induced reaction is completed. We have observed a set of new states in the region 8- MeV, however, this number is much less than that predicted by the classical quark model. The low spin states in this mass region fit very well the AdS/QCD prediction as well as with the idea about chiral restoration at high energies. There are two solutions for the N 7 + lowest state which should be distinguished from analysis of beam asymmetry data on photoproduction of hyperon-kaon final states. The situation for N( + ) can be resolved with reanalysis of πn elastic data and an analysis of new data on double pion photoproduction (with charged pions). The search for the chiral partner of 7/ +(9) state is the main subject in our current analysis of double pion and π η photoproduction data.

38 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 38 MAMI data on γp ηp. A narrow state at 7 MeV? E. F. McNicoll et al., Phys. Rev. C 8 () 38 [arxiv:7.777 [nucl-ex]].4 dσ/dω, µb/sr σ tot, µb / / + 3/ M(γp), MeV cos θ cm

39 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 39 Fits with narrow states or ωp photoproduction Resonance Mass Γ tot BrηN A p / BrηN A p 3/ χ tot /N dat χ sel /N dat χ Σ /N dat MeV MeV 3 GeV / 3 GeV / no res P (+) P ( ) P S S (ωp) σ tot, µb no res P (+) P ( ) σ tot, µb S (ωp) S P Σ 43 o 6 o o 6 o o M(γp), MeV M(γp), MeV M(γp), MeV

40 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 4 Solutions S (ωp) and P (+).4 dσ/dω, µb/sr σ tot, µb S (ωp) P (+) M(γp), MeV cos θ cm

41 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 4 Prediction for polarization observables T 43 o o o o S (ωp) 8 o 6 7 P ( ) P (+) P 3 M(γp), MeV -. F 43 o o o o S (ωp) o 6 7 P ( ) P (+) P 3 M(γp), MeV

42 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 4 Summary New high precision data on γp ηp show a narrow structure in the mass region 6-7 MeV. The structure can be explained either with a narrow state (in the S, P or P 3 partial wave) or as an effect from photoproduction of ωp channel in the S partial wave. The beam asymmetry data [] favor the solution P ( ) with mass 694 MeV and width 3 MeV. High statistical data on beam asymmetry and beam-target polarization observables will determine which partial wave is responsible for the narrow structure. Such data can also help to distinguish between P (+) and P ( ) solutions.

43 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 43 γp π p γp π p M(γp), MeV

44 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp π p γp π p

45 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 4 γp π p, 3/-/

46 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 46 γp π p, Σ γp π p, Σ

47 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 47 9 γp π p, Σ γp π p, Σ

48 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp π p, Σ γp π p, Σ

49 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 49 7 γp π p, P γp π p, P

50 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp π p, P γp π p, P

51 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp π p, P γp π p, P

52 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 8 86 γp π p, P

53 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 3 γp π p, T γp π p, T

54 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp π p, T γp π p, T

55 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 3 8 γp π p, G γp π p, H

56 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp π p, Ox γp π p, Oz

57 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 7 γp π + n γp π + n

58 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 8 γp π + n γp π + n

59 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 9 4 γp π + n, 3/-/ γp π + n, 3/-/

60 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 6 9 γp π + n, Σ γp π + n, Σ

61 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp π + n, Σ γp π + n, Σ

62 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 6 7 γp π + n, P γp π + n, P

63 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp π + n, G γp π + n, G

64 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp π + n, H γp π + n, H

65 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 6 γp π + n, T γp π + n, T

66 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp π + n, T γp π + n, T

67 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp ηp. 49. γp ηp M(γp), MeV

68 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp ηp γp ηp

69 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 69 γp ηp, Σ

70 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 7

71 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 7 C x C z cos θ K

72 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR

73 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR

74 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 74 3 γp K + Σ γp K + Σ M(γp), MeV

75 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 7 γp K + Σ γp K + Σ

76 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 76.7 γp K Σ γp K Σ M(γp), MeV

77 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 77 γp K + Σ, P C x C z cos θ K

78 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR γp K + Σ, Σ γp K + Σ, Σ

79 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 79 π p nπ π (Crystal Ball) total cross section σ tot, mb Fit of the data P -partial wave D 3 -partial wave S -partial wave M(πp), GeV/c

80 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 8 π p nπ π (Crystal Ball) Differential cross sections for 333,47 and MeV/c data. M3373 M ( π p) M373 M ( π π) M347 M ( π p) M47 M ( π π) M3 M ( π p) 4 3 M M ( π π) Z373 cos Θ(π) cos Z3373 Θ(p) Z47 cos Θ(π) cos Z347 Θ(p) 47 3 cos Z Θ(π) cos Z3 Θ(p) cos Z3373 Θ(π p) cos Z373 Θ(ππ) cos Z347 Θ(π p) 47 cos Z47 Θ(ππ) 47 cos Z3 Θ(π p) cos Z Θ(ππ)

81 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 8 π p nπ π (Crystal Ball) Differential cross sections for 6, 69 and 733 MeV/c data M36 M ( π p) M6 M ( π π) 6 4 M369 M ( π p) M69 M ( π π) 69 4 M3748 M ( π p) M748 M ( π π) Z6 cos Θ(π) cos Z36 Θ(p) cos Z69 Θ(π) cos Z369 Θ(p) Z748 cos Θ(π) cos Z3748 Θ(p) cos Z36 Θ(π p) cos Z6 Θ(ππ) cos Z369 Θ(π p) cos Z69 Θ(ππ) cos Z3748 Θ(π p) 733 cos Z748 Θ(ππ)

82 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 8 γp pπ π (CB-ELSA) Differential cross sections for W=4, and 6 MeV data. M3M(3)-.4 M ( π p) <M<.4 MM(3)-.4 M ( π π) <M<.4 M3M(3)-. M ( π p) 3 3.4<M<. MM(3)-. M ( π π) <M<. M3M(3)-.6 M ( π p) <M<.6 MM(3)-.6 M ( π π) <M< ZM(3)-.4 cos Θ(π).3<M<.4 Z3M(3)-.4 cos Θ(p).3<M<.4 ZM(3)-. cos Θ(π).4<M<. Z3M(3)-. cos Θ(p).4<M<. ZM(3)-.6 cos Θ(π).<M<.6 Z3M(3)-.6 cos Θ(p).<M< Z3M(3)-.4 cos Θ(π p) 9 8.3<M<.4 ZM(3)-.4 cos Θ(ππ) 9.3<M<.4 Z3M(3)-. cos Θ(π p) 8.4<M<. ZM(3)-. cos Θ(ππ) 3.4<M<. Z3M(3)-.6 cos Θ(π p) 6 4.<M<.6 ZM(3)-.6 cos Θ(ππ) 8 6.<M<

83 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 83 γp pπ π (CB-ELSA) Differential cross sections for W=7, 8 and 9 MeV data. M3M(3)-.7 M ( π p) <M<.7 MM(3)-.7 M ( π π) <M<.7 M3M(3)-.8 M ( π p) <M<.8 MM(3)-.8 M ( π π) <M<.8 M3M(3)-.7 M ( π p) <M<.97 MM(3)-.7 M ( π π) <M< ZM(3)-.7 cos Θ(π) <M<.7 Z3M(3)-.7 cos Θ(p) <M<.7 ZM(3)-.8 cos Θ(π) <M<.8 Z3M(3)-.8 cos Θ(p) 8 6.7<M<.8 ZM(3)-.7 cos Θ(π) <M<.97 Z3M(3)-.7 cos Θ(p) <M< Z3M(3)-.7 cos Θ(π p) <M<.7 ZM(3)-.7 cos Θ(ππ) <M<.7 Z3M(3)-.8 cos Θ(π p) <M<.8 ZM(3)-.8 cos Θ(ππ) <M<.8 Z3M(3)-.7 cos Θ(π p) <M<.97 ZM(3)-.7 cos Θ(ππ) <M<

84 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 84 γp pπ π (MAMI) Differential cross sections S = 3/ and S = /. σ [µb] σ tot (3/) σ tot (/) M(πγ) [GeV]

85 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 8 M3 M M(3)-.8 (p η).7<m< γp pηπ (CB-ELSA) Differential cross sections for W=7 and 8 MeV data. M3 M(3)-.8 (p π).7<m<.9 M M M(3)-.8 ( π η).7<m<.9 M3 M M(3)-. (p η).9<m<. M3 M(3)-. (p π).9<m<. M M M(3)-. ( π η).9<m< Z M(3)-.8 cos Θ(π).7<M< Z M(3)-.8 cos Θ(η).7<M< Z3 M(3)-.8 cos Θ(p).7<M< Z M(3)-. cos Θ(π).9<M<. 4 Z M(3)-. cos Θ(η).9<M<. 8 6 Z3 M(3)-. cos Θ(p).9<M< Z3 cos M(3)-.8 Θ(η p).7<m<.9 9 Z3 cos M(3)-.8 Θ(pπ).7<M<.9 9 Z cos M(3)-.8 Θ(πη).7<M<.9 Z3 cos M(3)-. Θ(η p).9<m<. Z3 cos M(3)-. Θ(pπ).9<M<. 3 Z cos M(3)-. Θ(πη).9<M<

86 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 86 M3 M M(3)-. (p η).<m< γp pηπ (CB-ELSA) Differential cross sections for W=9 and MeV data. M3 M(3)-. (p π).<m<.3 M M M(3)-. ( π η).<m<.3 M3 M M(3)-.4 (p η).3<m<. M3 M(3)-.4 (p π).3<m< M M M(3)-.4 ( π η).3<m< Z M(3)-. cos Θ(π).<M< Z M(3)-. cos Θ(η).<M< Z3 M(3)-. cos Θ(p).<M< Z M(3)-.4 cos Θ(π).3<M< Z M(3)-.4 cos Θ(η).3<M< Z3 M(3)-.4 cos Θ(p).3<M< Z3 cos M(3)-. Θ(η p).<m<.3 Z3 cos M(3)-. Θ(pπ).<M<.3 Z cos M(3)-. Θ(πη).<M<.3 3 Z3 cos M(3)-.4 Θ(η p).3<m<. 8 Z3 cos M(3)-.4 Θ(pπ).3<M<. 3 Z cos M(3)-.4 Θ(πη).3<M<

87 Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 87 γp pηπ (CB-ELSA) Beam asymmetry data.