PION POLARIZABILITY AT CERN COMPASS Murray Moinester Tel Aviv - - PowerPoint PPT Presentation

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PION POLARIZABILITY AT CERN COMPASS Murray Moinester Tel Aviv - - PowerPoint PPT Presentation

Mar 08, 2023 279 likes •903 views

PION POLARIZABILITY AT CERN COMPASS Murray Moinester Tel Aviv University CERN COMPASS collaboration The 2017 Division of Particles and Fields meeting, DPF17, Fermilab, Batavia, IL, July 31-Aug. 4, 2017 COMPASS NA58 experiment at CERN SPS COmmon

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PION POLARIZABILITY AT CERN COMPASS

Murray Moinester

Tel Aviv University CERN COMPASS collaboration

The 2017 Division of Particles and Fields meeting, DPF17, Fermilab, Batavia, IL, July 31-Aug. 4, 2017

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COMPASS

NA58 experiment at CERN SPS

COmmon Muon and Proton Apparatus for Structure and Spectroscopy 20 Institutes/11 counties/~230 physicists

Czech Republic, Finland, France, Germany, India, Israel, Italy, Japan, Poland, Portugal and Russia Bielefeld, Bochum, Bonn, Burdwan/Calcutta, CERN, Dubna, Erlangen, Freiburg, Lisbon, Mainz, Moscow, Munich, Prage, Protvino, Saclay, Tel Aviv, Torino, Trieste, Warsaw and Yamagata

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Dipole pion polarizabilities probe rigidity of pion’s quark- antiquark structure. Dipole moments induced by gamma’s electric and magnetic fields during Gamma-Pion Compton scattering: d=αE μ=βH.

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Compton Scattering Polarizability

  • r π− ρ0
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Primakoff scattering (pion Bremsthalung) of 200 GeV π from virtual photon target is a hypo-peripheral

  • ne-photon exchange reaction. Illustrate via production
  • f a1(1260), mass ma, followed by a1→πγ. Target Z

intact with low recoil energy, no FSI, separated from large pT meson exchange reactions. Minimal 4-momentum transfer t0 to Z. For ma=1 GeV, pπ = 200 GeV/c, t0=5x10-6 GeV/c2, pT,min= 2 MeV/c. Uncertainty Principle: b pT,min = π/2 and b ~ 150 fm.

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Experimental pion polarizabilities subject chiral symmetry and PT techniques of QCD to serious

  • tests. Major failure - PT predicts pion polarizability

significantly stiffer than previous measurements, and most other models. At one-loop level, electric and magnetic polarizabilities equal and opposite. Two-loop corrections small. Predictions below.

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Polarizabilities are associated with the Rayleigh scattering cross section of sunlight photons on atomic electrons in atmospheric N2 and O2. The oscillating electric field of sunlight photons forces the atomic electrons to vibrate. The resulting changing electric dipole moment radiates energy as the square of it second derivative.The radiated power is P ~ α2λ-4, where α is the electric polarizability of the

  • atom. The scattering cross section depends on

λ-4. The intensity of scattered and transmitted sunlight is therefore dominated by blue and red,

  • respectively. The daytime sky is therefore blue,

while sunrise and sunset are red.

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http://virgo-physics.sas.upenn.edu/events/primakoff.html

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SM1 SM2 Beam MuonWall MuonWall E/HCAL E/HCAL RICH Target

The COMPASS Experiment

Two-stage spectrometer

  • large angular acceptance
  • broad kinematical range
  • ~250000 channels
  • > 800 TB/year

[hep-ex/0703049, NIM A 577, 455 (2007)]

Dipole magnets Tracking detectors RICH El.-mag. calorimeter Hadronic calorimeter Muon identification

Data taking periods: 2002- 2004: 160 GeV/c m+

  • 2004: 2 weeks 190 GeV/c p-
  • 2006-2007: 160 GeV/c m+
  • 2008-2009: 190 GeV/c p,p-
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et al.

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2015, 4.0 ± 1.2 ± 1.4

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et al., Mainz

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THE RICH DETECTOR

5 m C4F10 photon detectors threshold momenta

  • pp = 2 GeV/c
  • pK = 9 GeV/c
  • pP =17 GeV/c
  • radiator gas: C4F10
  • mirror wall: 20 m2 surface
  • photon-detectors:
  • outer part (75%) MWPC(pad RO) with CsI cathode
  • inner part(25%) 576 MAPMTs with indiv. telescope

Installed in 2005, Used in data taking from 2006

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The Compass Spectrometer

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Trigger

Experimental conditions during the 2004 hadron run (7 days)

  • Beam: 190 GeV/c; ~106 π/s, 4.8 s / 16 s spill structure

190 GeV/c; ~108 μ/s

  • Targets: 1.6 – (2+1) - 3 mm Pb , 7 mm Cu, 23 mm C
  • Triggers:
  • Primakoff 1 = Hodoscope hit x ECal2 (E>50 GeV) x HCal2 (E>18 GeV)
  • Primakoff 2 = ECal2 (E>100 GeV)
  • Saturated trigger rate (40-50k/spill)
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Pion Polarizability, Radiative Transitions, and Quark Gluon Plasma Signatures

Can one expect gamma ray rates from the QGP to be higher than from the hot hadronic gas phase. Xiong, Shuryak, Brown (XSB) calculate photon production from a hot hadronic gas via the reaction π− + ρ0 → a1(1260) → π− + γ. For a1(1260) → πγ, they assume a radiative width of 1.4 MeV. XSB use their estimated a1 radiative width to calculate the pion polarizability, obtaining απ = 1.8 × 10−43 cm3. Independently, Holstein showed that meson exchange via a pole diagram involving the a1 resonance provides the main contribution (απ = 2.6 × 10−43 cm3 ) to the polarizability. New Primakoff data for π− γ → a1(1260) → π− ρ0 should allow a reevaluation of the consistency of their expected relationship, and improved calculation of the gamma rate from the hot hadronic gas phase.

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From Holstein & Scherer

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Other models (dispersion sum rules, QCD sum rule, lattice calculations,…) predict different polarizability values: 0<(απ+βπ)<0.39; 3.2<(απ-βπ)<11.2 According to ChPT, the pion is significantly stiffer than shown by previous measurements, and most other models.