Pion polarizabilities from a γγ→ππ analysis

Dai, Ling -Yun; Pennington, Michael R.

doi:10.1103/PhysRevD.94.116021

Title: Pion polarizabilities from a $γ γ \to π π$ analysis

Journal Article · Fri Dec 30 00:00:00 EST 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.94.116021· OSTI ID:1338179

Dai, Ling -Yun ^[1]; Pennington, Michael R. ^[2]

Institut fur Kernphysik and Julich Center for Hadron Physics, Forschungszentrum Julich, Julich (Germany); Indiana Univ., Bloomington, IN (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)

Here, we present results for pion polarizabilities predicted using dispersion relations from our earlier Amplitude Analysis of world data on two photon production of meson pairs. The helicity-zero polarizabilities are rather stable and insensitive to uncertainties in cross-channel exchanges. The need is first to confirm the recent result on $$(\alpha_1-\beta_1)$$ for the charged pion by COMPASS at CERN to an accuracy of 10% by measuring the $$\gamma\gamma\to\pi^+\pi^-$$ cross-section to an uncertainty of ~1\%. Then the same polarizability, but for the $$\pi^0$$, is fixed to be $$(\alpha_1-\beta_1)_{\pi^0}=(0.9\pm0.2)\times 10^{-4}$$ fm$$^{3}$$. By analyzing the correlation between uncertainties in the meson polarizability and those in $$\gamma\gamma$$ cross-sections, we suggest experiments need to measure these cross-sections between $$\sqrt{s}\simeq 350$$ and 600~MeV. The $$\pi^0\pi^0$$ cross-section then makes the $$(\alpha_2-\beta_2)_{\pi^0}$$ the easiest helicity-two polarizability to determine.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SFB/TR 110; AC05-06OR23177

OSTI ID:: 1338179

Alternate ID(s):: OSTI ID: 1338122

Report Number(s):: JLAB-THY-16-2386; DOE/OR/23177-4002; arXiv:1611.14441; PRVDAQ; TRN: US1701067

Journal Information:: Physical Review D, Vol. 94, Issue 11; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 15 works

Citation information provided by
Web of Science

References (27)

Measurement of the πmeson polarizabilities via the γp → γπ+n reaction Ahrens, J.; Alexeev, V. M.; Annand, J. R. M. The European Physical Journal A, Vol. 23, Issue 1 https://doi.org/10.1140/epja/i2004-10056-2	journal	December 2004
Hadronic light-by-light scattering and the pion polarizability Engel, Kevin T.; Patel, Hiren H.; Ramsey-Musolf, Michael J. Physical Review D, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevD.86.037502	journal	August 2012
Two photons into π0π0 Oller, J. A.; Roca, L. The European Physical Journal A, Vol. 37, Issue 1 https://doi.org/10.1140/epja/i2008-10600-0	journal	June 2008
Measurement of the Charged-Pion Polarizability Adolph, C.; Akhunzyanov, R.; Alexeev, M. G. Physical Review Letters, Vol. 114, Issue 6 https://doi.org/10.1103/PhysRevLett.114.062002	journal	February 2015
Chiral symmetry and pion polarizabilities Babusci, D.; Bellucci, S.; Giordano, G. Physics Letters B, Vol. 277, Issue 1-2 https://doi.org/10.1016/0370-2693(92)90973-8	journal	February 1992
Revisiting at low energies Gasser, J.; Ivanov, M. A.; Sainio, M. E. Nuclear Physics B, Vol. 745, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2006.03.022	journal	June 2006
Two photon couplings of the lightest isoscalars from BELLE data Dai, Ling-Yun; Pennington, M. R. Physics Letters B, Vol. 736 https://doi.org/10.1016/j.physletb.2014.07.005	journal	September 2014
Low-energy photon–photon collisions to two loops revisited Gasser, J.; Ivanov, M. A.; Sainio, M. E. Nuclear Physics B, Vol. 728, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2005.09.010	journal	November 2005
Electromagnetic corrections for pions and kaons: masses and polarizabilities Bijnens, Johan; Prades, Joaquim Nuclear Physics B, Vol. 490, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00107-7	journal	April 1997
On the solution of certain singular integral equations of quantum field theory Omnès, E. Il Nuovo Cimento, Vol. 8, Issue 2 https://doi.org/10.1007/BF02747746	journal	April 1958
Roy–Steiner equations for γγ→ππ Hoferichter, Martin; Phillips, Daniel R.; Schat, Carlos The European Physical Journal C, Vol. 71, Issue 9 https://doi.org/10.1140/epjc/s10052-011-1743-x	journal	September 2011
Dispersive analysis on the $f_{0} (600)$ and $f_{0} (980)$ resonances in $γ γ \to π^{+} π^{-}$ , $π^{0} π^{0}$ processes Mao, Yu; Wang, Xuan-Gong; Zhang, Ou Physical Review D, Vol. 79, Issue 11 https://doi.org/10.1103/PhysRevD.79.116008	journal	June 2009
MO analysis of the high statistics Belle results on γ γ→π + π −, π 0 π 0 with chiral constraints García-Martín, R.; Moussallam, B. The European Physical Journal C, Vol. 70, Issue 1-2 https://doi.org/10.1140/epjc/s10052-010-1471-7	journal	October 2010
Experimental estimation of the sum of pion electrical and magnetic polarizabilities Antipov, Yu. M.; Batarin, V. A.; Bessubov, V. A. Zeitschrift f�r Physik C Particles and Fields, Vol. 26, Issue 4 https://doi.org/10.1007/BF01551790	journal	December 1985
Measurement of π−-meson polarizability in pion compton effect Antipov, Yu. M.; Batarin, V. A.; Bessubov, V. A. Physics Letters B, Vol. 121, Issue 6 https://doi.org/10.1016/0370-2693(83)91195-4	journal	February 1983
Improved dispersion relations for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>γ</mml:mi><mml:mi>γ</mml:mi><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math> Oller, José A.; Roca, Luis; Schat, Carlos Physics Letters B, Vol. 659, Issue 1-2 https://doi.org/10.1016/j.physletb.2007.11.030	journal	January 2008
Comprehensive amplitude analysis of $γ γ \to π^{+} π^{-}, π^{0} π^{0}$ and $\bar{K} K$ below 1.5 GeV Dai, Ling-Yun; Pennington, M. R. Physical Review D, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevD.90.036004	journal	August 2014
Pion transitions and models of chiral symmetry Donoghue, John F.; Holstein, Barry R. Physical Review D, Vol. 40, Issue 7 https://doi.org/10.1103/PhysRevD.40.2378	journal	October 1989
Two-photon production of pion pairs Boyer, J.; Butler, F.; Gidal, G. Physical Review D, Vol. 42, Issue 5 https://doi.org/10.1103/PhysRevD.42.1350	journal	September 1990
Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory Pasquini, B.; Drechsel, D.; Scherer, S. Physical Review C, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevC.77.065211	journal	June 2008
Pion-photon reactions and chiral dynamics in Primakoff processes at COMPASS Friedrich, Jan Michael AIP Conference Proceedings, Vol. 1701 https://doi.org/10.1063/1.4938623	conference	January 2016
Measurement of $π^{0} π^{0}$ production in two-photon collisions Marsiske, H.; Antreasyan, D.; Bartels, H. W. Physical Review D, Vol. 41, Issue 11 https://doi.org/10.1103/PhysRevD.41.3324	journal	June 1990
Pion polarizabilities and charged pion-pair production to two loops Bürgi, U. Nuclear Physics B, Vol. 479, Issue 1-2 https://doi.org/10.1016/0550-3213(96)00454-3	journal	November 1996
Radiative photoproduction of pions and pion compton scattering Aibergenov, T. A.; Baranov, P. S.; Beznisko, O. D. Czechoslovak Journal of Physics, Vol. 36, Issue 8 https://doi.org/10.1007/BF01797507	journal	August 1986
The New (g−2)[sub μ] Experiment at Fermilab Casey, Brendan C. K.; Marshak, Marvin L. 10TH CONFERENCE ON THE INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS, AIP Conference Proceedings https://doi.org/10.1063/1.3293911	conference	January 2009
Determination of $π^{\pm}$ meson polarizabilities from the $γ γ \to π^{+} π^{-}$ process Fil'kov, L. V.; Kashevarov, V. L. Physical Review C, Vol. 73, Issue 3 https://doi.org/10.1103/PhysRevC.73.035210	journal	March 2006
Determination of $π^{0}$ meson quadrupole polarizabilities from the process $γ γ \to π^{0} π^{0}$ Fil’kov, L. V.; Kashevarov, V. L. Physical Review C, Vol. 72, Issue 3 https://doi.org/10.1103/PhysRevC.72.035211	journal	September 2005

Cited By (1)

Nature of the $Y (4260)$ : A light-quark perspective Chen, Yun-Hua; Dai, Ling-Yun; Guo, Feng-Kun Physical Review D, Vol. 99, Issue 7 https://doi.org/10.1103/physrevd.99.074016	journal	April 2019

Similar Records

Measurements of the

γ_{v} p \to p^{'} π^{+} π^{-}

cross section with the CLAS detector for

0.4 {GeV}^{2} < Q^{2} < 1.0 {GeV}^{2}

and

1.3 GeV < W < 1.825 GeV

Journal Article · Tue Aug 21 00:00:00 EDT 2018 · Physical Review C · OSTI ID:1338179

Fedotov, G. V.; Skorodumina, Iu. A.; Burkert, V. D.; +118 more

Comprehensive amplitude analysis of

γ γ \to π^{+} π^{-}, π^{0} π^{0}

and

\bar{K} K

below 1.5 GeV

Journal Article · Fri Aug 15 00:00:00 EDT 2014 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1338179

Dai, Ling-Yun; Pennington, Michael R.

Measurement of the helicity asymmetry

E

ω \to π^{+} π^{-} π^{0}

photoproduction

Journal Article · Thu Dec 28 00:00:00 EST 2017 · Physical Review C · OSTI ID:1338179

Akbar, Z.; Roy, P.; Park, S.; +131 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
pion polarizability
dispersion relations
partial-wave analysis
Chiral Lagrangian
meson production

Title: Pion polarizabilities from a γ γ → π π analysis

Citation Formats

References (27)

Cited By (1)

Similar Records

Related Subjects

Title: Pion polarizabilities from a $γ γ \to π π$ analysis