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Proposta per la Misura dei Fattori di Forma del nucleone a DAFNE. Nicola Bianchi INFN – Laboratori Nazionali di Frascati. Riunione Commissione Nazionale Scientifica I Napoli, 19 settembre 2005. Why a new measurement of the Nucleon e.m. Form Factors today? (1).
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Proposta per la Misura dei Fattori di Forma del nucleone a DAFNE Nicola Bianchi INFN – Laboratori Nazionali di Frascati Riunione Commissione Nazionale Scientifica I Napoli, 19 settembre 2005
Why a new measurement of the Nucleon e.m. Form Factors today? (1) FFs are fundamental quantities describing the internal structure of the nucleon Wavelength of the probe can be tuned by selecting momentum transfer Q2 • < 0.1 GeV2 integral quantities (charge radius,…) • 0.1-10 GeV2 internal structure of nucleon > 20 GeV2 pQCD scaling • Stern (1932) measured the proton magnetic moment indicating that the proton was not a point-like particle • Hofstadter (1950’s) provided the first measurement of the proton’s radius through elastic electron scattering (Nobel Prize in 1961) • Subsequent Space-Like (SL) data (≤2000) were based on Rosenbluth separation with limited accuracy for GEpfor Q2>1 GeV2 • Early interpretation based on Vector-Meson Dominance • Good description with phenomenological dipole form factor
Why a new measurement of the Nucleon e.m. Form Factors today? (2) • Before 2000, the picture seemed to be well established and understood: • Proton electric and magnetic SL FFs scaling: • GMp mpGEp • charge and magnetization have the same distribution • Neutron electric SL FF GEn small and badly measured • All 3 non-zero FFs are described 20% by the dipole formula 2 æ ö L 2 ç ÷ = L » G 0 . 8 GeV ç ÷ D L + 2 2 Q è ø G å = + n i 1 a Q n G D corresponding to the r and w meson resonances in the time-like region and to exponential distribution in the coordinate space No substantial deviations from this picture were expected
Why a new measurement of the Nucleon e.m. Form Factors today? (3) • The new SL JLab results (2000) using polarization measurement in ep elastic scattering dramatically changed the picture of the Nucleon: • GEp/GMp decreases with Q2 • data suggest GEpcrosses 0 at Q28 GeV2 Charge and magnetization distributions are different (“second proton spin crisis”) • New strong interest triggered from these results • Reanalysis of old SLAC experimental data • New measurements are performed and planned in JLab • Theoretical effort to explain the discrepancies • The Time-Like region is much less studied • Intrinsic interest in itself (possible resonance at threshold) • Need to reconsider some discrepancy found in the TL region and with respect to the SL • Good capabilitiy to disciminate among different descriptions
Nucleon Form Factors – general properties • FFs are analytic complex functions of q2 = (p – p’)2 • Two FFs in the one-photon-exchange approximation: • Pauli-Dirac (F1 and F2) or Sachs (GE and GM) • GM(q2) = F1(q2) + F2(q2) • GE(q2) = F1(q2) + t F2(q2)t=q2/4M2 • In the Breit reference system, Sachs FFs are the Fourier transform of the charge and magnetization distributions • T-invariance in the space-like region implies real FFs • Dispersion relations connect the Space-Like (q2 > 0) and Time-Like (q2 < 0) regions • FFs are connected with GPDs
Had to wait for the new generation of beams and detectors JLab How to measure Space-Like Form Factors • Rosenbluth separation • Based on cross section measurement Q2 = |q2 | e = photon polarization t = Q2/ 4M2 • Polarization observables • For example, electron-to-proton polarization transfer Recoil polarization measurements have been proposed more than 40 years ago as the best way to reach high accuracy in the FF measurement Akhiezer et al., Sov. Phys. Jept. 6, 588 (1958) Arnold, Carlson, Gross, PR C23, 363 (1981)
JLab 2005 Rosenbluth technique Rosenbluth polarization JLab 2000-2 Proton SL Form Factors SLAC re-analysis polarization technique • GE =0 at some Q2 (~8 GeV2)? • Asymptotic scaling: pQCD F2 / F1~ Q-2 • pol. data F2 / F1~ Q-1 • quark angular momentum contribution? -> HERMES • data of non-zero Sivers asymmetries • radiative corrections?
A.Afanasev and C.Carlson PRL 94 (2005) 212301 2-photon exchange • complex space-like FFs • correction to the cross section are of the same order as electric contribution • corrections to polarization observables are expected to be much smaller • Rosenbluth and polarization data could be reconciled? • Calculations have simple parametrization of 2-gexchange • Other authors found negligible contributions to the cross section
run in 2006 Outlook in the space-like region at JLab • New measurements of elastic scattering planned at JLab for higher Q2 • Study of 2-photon contribution comparing e-p and e+p scattering
FF extraction from e+e-N N FF measurements are based on total cross section, under some theoretical assumption on their ratio • |GM| can be more easily extracted, but it’s model-dependent • |GE| remains unmeasured Time-Like FFs measurements t = s/ 4M2 • |GM| = |GE| at the physical threshold s = 4M2 isotropic distributions • GM dominates the cross section for s >> 4M2 Up to now, no independent extraction of both TL FFs has been performed (s 1 nb)
Time-Like FFs : proton data GM from cross section and with the assumption |GE| = |GM| • Early pQCD scaling |GM| ~ Q-4 • Time-like FF larger than space-like • Steep behaviour close threshold
DAΦNE2 Tentative extraction of FF ratio from angular distributions DR analysis Electric to magnetic FF ratio Different hypothesis on GE/GM strongly affect also GM extraction in the low energy region
Time-Like FFs : neutron data Only the FENICE data Assuming |GE| = 0 • Angular distribution ds/dW~ 1+cos2qcompatible with |GE|=0 • neutron GM bigger than proton • pQCD scaling?
Y Y final state could be identified by detecting the decay of one hyperon • Angular distributions • moduli of FF • For weakly decaying hyperons (L(1116), S±(1189)) the polarization measurement does not require a polarimeter Hyperon Form Factors Hyperons can also be produced in e+ e- interactions (L, S, …) energy threshold: √s ~ 2 ML ~ 2.23 GeV EBEAM~1.12 GeV
Proposal for nucleon FFs measurement at DAFNE • Study of nucleon FFs measurement in the DAΦNE energy upgrade using the present detectors • Euridice Workshop – 19 October 2002, Frascati (A. Filippi with FINUDA) • Workshop on “e+ e- in the 1-2 GeV range: Physiscs and Accelerartor Prospects” – 10-13 September 2003, Alghero (A. Filippiwith FINUDA; C. Ligi, R. Ricci, G. Benedetti for the machine) • LNF Spring School – 16-20 May 2005, Frascati (M. Mirazita with FINUDA; M. Preger for the machine) • A. Antonelli et. al., “Future Research and Activities at LNF: Working Group Report”, in print • M. Mirazita et al., “Measurement of the Nucleon Form Factors in the time-like region at DAΦNE”, Letter of Intent, first draft • D. Alesini et al., “Preliminary considerations on machine requirements for a Nucleon FF experiment at Frascati” – DAΦNE Technical Note G-63
DAΦNE parameters for 1.2 GeV operation Main machine changes: - dipole magnets (normal conducting) - interaction region
remove nuclear targets • carbon layer: • antineutron converter • proton polarimeter The FINUDA detector
e+e-nn with FINUDA: typical topology s = 1890 MeV, B = 0.2 T
e+e-pp with FINUDA: typical topology s = 1890 MeV, B = 0.2 T
E=1.2 GeV E=1.1 GeV E=1.0 GeV Efficiency and resolution for pp tracks B=10 kgauss GE is better measured around 90o
proton neutron FINUDA projected accuracy prototne Integrated luminosity 700-1000 pb-1 cfr FENICE 1029cm-2 s-1 (cfr KLOE in 2004: 780 pb-1)
Angular distributions neutron projected data red: GE=0 black: GE=GM Fitting function f(q)=A(1+cos2q) + B sin2q
Polarization normal to the scattering plane No beam polarization • non negligible polarization • Py maximal at 45° and 135° • high discriminating power between theories • extraction of FF relative phase Induced polarization
The polarization is measured through secondary scattering in a strong interaction process • The spin-orbit coupling causes an azimuthal asymmetry in the scattering • in-plane polarization components can be measured • non-normal polarimeter crossing and/or magnetic field require back-tracing of the measured polarization • small efficiency to reject multiple scattering background Proton polarimeter
y Polarization is extracted by measuring asymmetries f - + For example, for Pypol( cosf) x Polarization ~ 15 % max (pQCD model) Averaged analysing power ~ 50 % Polarization measurement Expected effect of the order of few % at EBEAM = 1.2 GeV For ΔR/R 30 %: total luminosity 2500 pb-1 (1 year with average 1032 cm-2 s-1)
The increase of DAΦNE2 energy above NN threshold would allow: • The first accurate and independent measurement of the time-like proton and neutron FFs • The first measurement of the outgoing proton polarization, to get the relative phase between electric and magnetic FFs • The first accurate measurement of the proton angular distribution, to study possible 2-photon contributions • The first measurements of strange baryon form factors, if DAΦNE energy will exceed the production threshold (1.15 GeV) Summary • As a by-product results: • accurate measurement of various cross section, to study narrow unexpected structures, in part pointed out by FENICE and other experiments • study of baryon transition FFs, for example N → D
Conclusions • No large changes in the DAΦNE machine are needed to increase the energy above the nucleon-antinucleon threshold • FINUDA is well suited for the Nucleon FF measurement • - good proton efficiency/resolution • - neutron detection • - easy implementation of a proton polarimeter • Possible improvements of the detector for neutron measurement due to the high geometrical flexibility of FINUDA • - two (or more) converters • - new array of scintillators just before the end-cap • - neutron polarimeter
Scientific Program Session I : Overview: A. Zichichi (Bologna) The electromagnetic Form Factors of the nucleon D.-O. Riska (Helsinki)The structure of the baryons through their FFs Session II : Form Factors in Space-like region: Experiment Session III: Two-Photon Physics Session IV : Theory Session V : Form Factors in Time-like region: Experiment Session VI : Generalized Parton Distributions Session VII: Parity Violation and Strangeness Concluding Session S. J. Brodsky (SLAC) New Perspectives on the Structure and Interactions of the Nucleon Workshop on Nucleon Form FactorsFrascati, 12-14 October, 2005 Jointly organized by INFN and JLab 47 speakers (39 foreigners) http://www.lnf.infn.it/conference/nucleon05/
LoI for the Measurement of the Nucleon Form Factors in the time-like region at DAΦNE (draft) 21(27)Institutions,6(8)Countries,56(>73)people • INFN-LNF: M. Mirazita, V. Muccifora, A. Fantoni, E. De Sanctis, N. Bianchi, P. Rossi, F. Ronchetti, P. Gianotti, C. Petrascu, R. Baldini, S. Pacetti, L. Benussi, M. Bertani, S. Bianco, F.L. Fabbri, V. Lucherini, F. Pompili, S. Tomassini • INFN-Sezione di Torino: D. Calvo, A. Feliciello, A. Filippi • Dipartimento di Fisica Sperimentale, Università di Torino: E. Botta, T. Bressani, S. Bufalino, F. De Mori, S. Marcello • Dipartimento di Fisica Generale, Università di Torino: L. Busso, D. Faso • INAF-IFSI Sezione di Torino: O. Morra • Dipartimento di Fisica, Politecnico di Torino: M. Agnello • INFN-Sezione di Bari: G. D’erasmo, E. Fiore, A. Pantaleo, V. Paticchio • INFN-Sezione di Trieste: M. Bregant, N. Grion, G. Margagliotti, S. Piano • Dipartimento di Meccanica, Università di Brescia e INFN Sezione di Pavia: G. Bonomi, A. Donzella, A. Zenoni • INFN-Sezione di Roma: G. Salmé • Università di Roma Tor Vergata: E. Pace • DAPNIA/SPhN, CEA-Saclay (France): E. Tomasi-Gustafsson (interest in the polarimeter) • JLab-Hall A (USA):K. de Jager, F. Gross, et al. • Triangle U. Nuclear lab. and Duke U., Durham, NC (USA) :D. Dutta,H. Gao • Center for Theoretical Physics, Yale (USA):F. Iachello • Department of Physics, University of Virginia (USA): D. Day,S. Liuti et al. • Yerevan Physics Institute, Armenia: N. Akopov, R. Avakian, et al. • Petersburg Nuclear Physics Institute of Academy of Science (Russia): S. Belostotsky et al. • ITEP, Moscow (Russia):A. Gasparyan, A. Kaidalov, L. Kondratyuk • Institute of Nuclear Research, Russian Academy of Sciences, Moscow (Russia):V. Grishina • Shanghai Institute for Nuclear Research (China):Wang Xu • Budker Institute, Novosibirsk (Russia): S. Skrinsky, E. Solodov,et al. (interest in the of machine magnets) • Institute of Nuclear Research, Moscow (Russia): N. Piskunov e Y. Zanevski(interest in the polarimeter) • Institut fuer Kernphysik, Mainz U. (Germany):T. Walcher et al. (interest in the polarimeter) • Experimental Physics Center, Institue of High Energy Physics, CAS Beijing (China): Y. Xie, H. Hu • Shanghai Institute for Nuclear Research (China): Yu-GangMa • Stanford (USA): S. Brodsky • Institut de Physique Nucleaire, Orsay (France): M. Guidal et al. • DAPNIA/SPhN, CEA-Saclay (France): M. Garcon, et al. • Sao Paulo U (Brazil):A. Deppman, S. Pereira Afanelos, G. De Oleiveira Echeinberg LoI already Signed Interest for LoI
Some asymmetry is expected in proton (antiproton) angular distribution with respect to electron direction s(q) ≠ s(180-q) p q e- • Could be estimated using: • g g→ p p exp. data • e+ e-→ g g cross section e+ Asymmetry ~ few % ? Two-photon contribution Interference between 1- and 2-g amplitudes Small effect (of the order of aem)