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N*’s as determined from exclusive reactions. Volker D. Burkert. Outline: Goals of the N* Program Large Acceptance Detectors N* related data from JLab Status of the N* Analysis Upcoming experiments at Jlab @ 6 GeV Tools for more complex analyses Penta-Quarks and N*’s Conclusions.
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N*’s as determined from exclusive reactions Volker D. Burkert • Outline: • Goals of the N* Program • Large Acceptance Detectors • N* related data from JLab • Status of the N* Analysis • Upcoming experiments at Jlab @ 6 GeV • Tools for more complex analyses • Penta-Quarks and N*’s • Conclusions PAC25 - Mini Workshop on Nucleon Excited States, January 17, 2004, Kingsmill Resort
Goals of the N* Program • Two main motivations for the N* program: • The study of the nucleon wave function though measurement • of e.m. transition form factors for known resonances, • e.g. D(1232), P11(1440), S11(1520), D13(1520), F15(1680), ... • => analyze Np, Nh,(Npp) final states • The study of the underlying symmetry properties through the search • for SU(6)xO(3) symmetry predicted, yet undiscovered resonances • (“missing resonance problem”), in measurements of Np,Npp, K+L, • K+S, pw, Nr, .. final states.
Large Acceptance Detectors for N* Physics. • CLAS: (photon and electron reactions) • Measure many final states with mostly charged particles simultaneously. • Operate with high luminosity electron beams, and with unpolarized and polarized energy-tagged bremsstrahlung photon beams. • Coverage for photons limited to lab angles < 45o • Crystal Barrel-ELSA: (photon reactions) • CsI with excellent photon detection, e.g. Npopo , Npoh • SAPHIR-ELSA (photon reactions, detector dismantled) • Charged particles in final state • GRAAL (photon reactions): • BGO crystals, with excellent photon detection, limited charged particle, polarized laser-backscattered tagged photon • Crystal Ball – MAMI (photon reactions) • neutral final states in limited W range • BES (Beijing) – N* in e+e- collisions. • LEPS – SPring-8 – (photon reactions) • Charged particle detection in forward dipole spectrometer, and TPC with large angle coverage.
Status of N*- exclusive meson production Experiment Reaction Physics Data Analysis Publication Status Status Status E89-037 ep eppo REM, RSM compl. ongoing PRL88, 122001 (2002) ep enp+ REM, RSM compl. ongoing in preparation E89-038 ep enp+gpN* compl. ongoing in preparation eD epp-gnN* compl. --- --- E89-039 ep ephgNS11 compl. ongoing PRL86, 1702 (2001) E89-042 ep epposLT’ ND compl. ongoing PRC68, 032201 (2003) ep enp+sLT’ ND compl. ongoing in CLAS review E01-102 ep epposLT’ NN* compl. ongoing --- E01-103 ep enp+sLT’ NN* compl. ongoing --- E91-002 ep eppo REM high Q2 compl. ongoing in preparation E99-107 ep eppo REM high Q2 compl. ongoing --- E91-024 ep epw miss. N* compl. ongoing --- E93-006 ep epp+p- miss. Res. compl. ongoing PRL91, 022002 (2003) E99-108 ep epp+p- miss. Res. compl. started --- E93-036 ep eppo Aet, At compl. ongoing PRC68, 035202 (2003) ep ep+n Aet compl. compl. PRL88, 82001 (2002) E93-030 ep eK+L N*, miss N* compl. ongoing PRL90, 131804 (2203) E94-005 ep epp+p- Axial ff compl. ongoing --- E91-023 ep eX Aet compl. ongoing PRL91, 222002 (2003)
Status of N*- exclusive meson production Experiment Reaction Physics Data Analysis Publication Status Status Status E00-112 ep eK+L miss. N* compl. ongoing PRL90, 131804 E91-011 ep epp0 REM,RSM compl. ongoing in preparation E93-050 ep epg(p0) N* compl. compl. nucl-ex/0308009 E94-014 ep epp0 ND(1232) compl. compl. PRL82:45 (1999) ep eph S11(1535) compl. compl. PRD60:052004 (1999)
Experiment Reaction Physics Data Analysis Publication Status Status Status E89-004 gp K+Y miss. N* compl. ongoing nucl-ex/0305028 E91-008 gp ph S11, P11 compl. compl. PRL89, 222002 E93-033 gp pp+p- miss. N* compl. ongoing in prep. E94-008 gD hX N* compl. ongoing - E94-103 gp Np N* compl. ongoing - E94-109 gp pro miss. N* ongoing ongoing - E99-013 g p pw miss. N* ongoing ongoing - E02-112 g p K+Y miss. N* tbd - - E03-105 g p pN N* tbd - - Penta-Quark Baryons and N* Physics E03- gd K+K-p(n) 5-quark B5 sched. ongoing PRL91, 252001(2003) E05-xxx gp K+K-p+(n) 5-quark B5 sched. ongoing PRL92, 01 (2004) K0nK+ Status of N*- exclusive meson production
Status of N*- exclusive meson production --- gd K+K-p(n) 5-quark B5 --- ongoing PRL91, 252001(2003) E03-xxx sched --- --- --- gp K+K-p+(n) 5-quark B5 --- ongoing PRL92, 01 (2004) E04-xxx KonK+, .. Excited Q+ sched. --- --- E04-xxx ed p-p-p-p Search for X-- tbd --- --- E04-xxx ep many Q+, X-- tbd --- ---
missing states 2 2p thresh. 1.5 1 0. 0.5 1.0 1.5 Kinematicsep epX, E=4GeV
ND(1232) Transition • Data published after 1998
ND(1232) – current program (data in hand, partially analyzed) • pp0 with high statistics are currently being analyzed covering Q2 = 0.1 – 6.0 GeV2 • ep ep+n channel for Q2 = 0.1 – 6.0 GeV2 • Data on sLT’ for ppo, np+ in D(1232) region at Q2 < 4 GeV2 • Data on At , Aet for ppo, np+, pp- at Q2 < 4 GeV2 • Single and double polarization resp. functions – at Q2 = 1 GeV2 • Cross section for pp0 at backward p0 angles – at Q2 = 1 GeV2 • pp0 with high statistics taken at Q2 = 6.0 & 7.5 GeV2
Response Functions from p0 Electroproduction in the D(1232) Region ds/dW = sT + esL + esTTcos2f+ 2e(e+1)sLTcosf; si(cosq*,W) CLAS Preliminary
N* program – ND(1232) transition Q2=3GeV2 C L A S p r e l i m i n a r y f
s + es = + q + q A A P (cos ) A P (cos ) T L 0 1 1 2 2 + q + q A P (cos ) A P (cos ) 3 3 4 4 ND(1232) Transition CLAS preliminary
Polarization Observables s =so[1 + P·sp + h(A + P’·sp)] so = no(nLRL + nTRT - nLTRLTcos fpq + nTTRTTcos 2fpq) Aso = no(-n’LTR’LT sin fpq) Pnso = no(nLRnL + nTRnT - nLTRnLTcos fpq + nTTRnTTcos 2fpq) Pl,tso = no(-nLTRl,tLTsin fpq +nTTRl,tTTsin 2fpq) P’nso = no(-n’LTR’nLTsin fpq) P’l,t so = no(-n’LTR’l,tLTcos fpq + n’TTR’l,tTT)
PRELIMINARY Response Functions – Hall A
ND(1232) Transition • Published + publicly presented data.
HALL A ND(1232) Transition • With current data from CLAS,Hall A & Hall C, JLab data on REM,RSM, and GMD will cover the range Q2 = 0.1 – 7.5 GeV2 with excellent statistics and low systematics. Results projected from completed experiments. Hall A data include recoil and double polarization responses. CLAS data include pp0, np+, beam asymmetries Ae, beam/target asymmetries At, Aet
Analysis Tools for Meson Production above the D(1232) • Unitary Isobar Model (JLab-Yerevan) for single p, h production • Born terms + w, r exchange • Resonances as relativistic Breit-Wigner • Regge exchange at high W • Fixed- t Dispersion Relations (JLab-Yerevan) • Imaginary part of amplitude as sum of Resonances • Real part by dispersion relations • High energy behavior by Regge parametrization • Isobar Model for two-pion analysis (JLab-Moscow-Genova) • Non-resonant 3-body p.s., diffractive Nr, Dp, D13p, • Reggeon exchange at high W, s-channel Breit-Wigner • resonances • Event-based Partial-Wave Analysis with Maximum-Likelihood • fits for Npp final state (RPI-JLab)
Second Nucleon Resonance Region Resonances: P11(1440), S11(1535), D13(1520) • Structure of the Roper P11 ? • |Q3> quark state? • |Q3G> state? • |Ns> molecule? • |Q4Q> penta-quark? • quark core with meson cloud • Structure of the S11(1535) • hard transition form factor? • a 3-quark resonance? • a KS molecule? • Q2 evolution of the D13 helicity structure, A3/2 A1/2 dominance.
Second Nucleon Resonance Region • Single pion and eta production • 1) ep e(np+, ppo), Q2 = 0.1 – 5.0 GeV2 E89-038,42 E1-6 • 2) ed epp-(p) Q2 = 0.1 – 3.5 GeV2 E89-038/42 • 3) ep eph Q2 = 0.1 – 5.0 GeV2 E89-039 • 4) ep eppo Q2 = 0.1 – 3.5 GeV2 E93-036 • 5) ep ep+n Q2 = 0.1 – 3.5 GeV2 E93-036 • Global analysis using DR (JLab-Yerevan) and UIM (JLab-Yerevan) fits performed for 1) - 3) at low Q2 . • First analysis of a consistent set of p0, p+, h cross sections and polarized beam structure functions.
The 2nd Resonance Region Unitary Isobar fit ep enp+ CLAS
UIM DR sT+esL, sTT, sLT Fit to p, h Electroproduction p+ W = 1.23 GeV, W = 1.53 GeV Q2=0.4 GeV2
UIM DR sLT’ (S) Fit to p, h Electroproduction po p+ W = 1.18 – 1.58 GeV W = 1.18 - 1.58 GeV
UIM DR sT, S Global Fit to h Photoproduction h h W > 1.49 GeV W > 1.49 GeV
UIM DR Target asymmetry Global Fit to h Photoproduction
UIM DR stot Global Fit to h Photoproduction
Large longitudinal coupling ! First Results from JLab Global Analysis Zero crossing?
DR DR h p UIM UIM A1/2 S11(1535) S1/2 S11(1535) 0 100 10-3GeV-1/2 -20 80 PDG -40 60 0 0.5 Q2 (GeV2) 0 0.5 Q2 (GeV2) First Results from JLab Global Analysis – cont’d
DR h 0 UIM A1/2 -50 -100 0 0.5 Q2 (GeV2) 200 S1/2 DR p A3/2 UIM 0 100 -50 PDG -100 0 0 0.5 Q2 (GeV2) 0 0.5 Q2 (GeV2) First Results from JLab Global Analysis – cont’d D13(1520)
Third Nucleon Resonance Region • Resonances: S31(1620), S11(1650), D13(1700), D15(1675), F15(1680), P11(1710), P13(1720), D33(1700), ….. • Transition form factors in a large Q2 range - test of the Single Quark Transition Model (SQTM) for g + [56,0+] [70,1-], and g + [56,0+] [56,2+] transitions • Does the P11(1710) have a 5-quark component as required by the chiral soliton model of Diakonov et al.? cSM predicted the Q+(1540) as a 5-quark state. • Main tools to study transitions in 3rd resonance region • g*N Np • g*N Npp, many states couple strongly to Npp
Proton Test of the Single Quark Transition Model
Neutron Test of the Single Quark Transition Model
Tools to search for “Missing” Resonances • Search for new baryon states (N*, D) in Npp • Developed Isobar Model for the analysis of pp+p- photo- and electro-production data (Moscow-JLab-Genova). • Developing IM including neutral channel, e.g. np+po, ppopo. • Developed event-based PWA approach for the analysis of pp+p- photo-production data. • Search for new baryon states (N*, D) in KY. • Appropriatetools for resonance analysis are currently lacking. Coupled-channel analysis essential because of large background. • Search for new baryon states (N*) in pw. • Dynamical Model developed by Y. Oh. We are adopting this model to fit experimental data in single channel analysis. Need to include other channels because of background.
p p JP, M D,N* p p r, s p L p Partial Wave Formalism for gp pp+p- • Transition matrix: p+ Tfi = <pp+p-;tf|T|gp;E> =S<pp+p-;tf|a><a|T|gp;E> = Sya(tf)Va(E) p- = p a a • Decay amplitude ya(tf) calculated using isobar model: • e.g. JP, M = ½+, +½ [D++p-]l=1, lPf = +½ + • Production amplitude Va(E) is fitted in unbinned maximum likelihood procedure. Assume Va(E) is independent of E in small energy range. + . . .
Waves in the current analysis JP M Isobars 1/2+ 1/2 Dp (={D++p-, Dop+}) 1/2- 1/2 Dp, (pr)(s=1/2 3/2+ 1/2, 3/2 (Dp)(l=1) ,(pr)(s=1/2) ,(pr)(s=3/2;l=1,3) ,N*(1440)p 3/2- 1/2, 3/2 (Dp) (l=0,2) 5/2+ 1/2, 3/2 (Dp)(l=1), ps 5/2- 1/2, 3/2 (Dp)(l=2) • Total of 35 waves (complex amplitudes) • Diffractive production (“t-channel”) also included
Samples of event-based PWA for gp pp+p- F15(1680)? P33(1600)? A new P33?
Isobar Model for the g*N Npp channel • All established resonances included as Breit-Wigners • Non-resonant Born terms for all D(1232)p isospin channels, and for D13(1520)p channels. • Non-resonant pro production through diffractive ansatz. • High mass behavior through Reggeon exchange. • Good fits to one-dimensional cross sections at low pp+p- masses.
W=1.70 GeV Q2=0. W=1.71 GeV Q2=0.65 GeV2 Isobar Model for the g*N Npp channel
Isobar Model for the g*N Npp channel W=1.71GeV Q2=0.95 GeV2 W=1.71 GeV Q2=1.30 GeV2
Resonances in g*p pp+p- Total cross section CLAS Genova-Moscow Isobar model fit GNpp PDG GNg AO/SQTM (with amplitudes adjusted) missing resonance strength?
Isobar fit to D13(1700) and new PI3 Total cross section CLAS Isobar model fit GNpp PDG GNg AO/SQTM PI3 D13(1700) W(GeV)
Isobar fit - A new PI3 state? CLAS W = 1.74GeV PI3 Mp+p D13(1700) • Data described best by new PI3 Mp+p- 1650-1750 M = 1.72 +/- 0.02 GeV 100-200 GT = 114 +/- 19 MeV Dp : 0. 63+/- 0.12 ~ 0 0.8 - 0.9 Nr : 0.19 +/- 0.09 • consistent with “missing” qp- (deg) P13 state, but mass low known P13
Strangeness Photoproduction Dominant resonances S11(1650) P11(1710) P13(1720) D13(1895) ? Similar data sets exist from SAPHIR. Carnegie Mellon
Strangeness Photoproduction • Sample of data covering the full kinematic range in energy and angles for K+L and K+S, including recoil polarization • Data indicate significant • resonance contributions, • interfering with each other • and with non-resonant • amplitudes. • Extraction of resonance • parameters requires a large • effort in partial wave • analysis and reaction theory.
Strangeness in electroproduction ep eK+Yresponse functions CLAS
Strangeness in electroproduction CLAS g*p K+L backward hemishere forward hemisphere preliminary known N* new N*?
OPE + Pomeron N* Capstick model Sum w g p p g w p0 p p g w N* p p CLAS - Resonances ingp pw? PRELIMINARY Model: Y. Oh
g w p p w N* g p p w - electroproduction above resonance region s CLAS in resonanceregion -1 cosqpw +1