Pion polarizabilities from a analysis
Abstract
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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1338179
- Alternate Identifier(s):
- OSTI ID: 1338122
- Report Number(s):
- JLAB-THY-16-2386; DOE/OR/23177-4002; arXiv:1611.14441
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1701067
- Grant/Contract Number:
- SFB/TR 110; AC05-06OR23177
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 11; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; pion polarizability; dispersion relations; partial-wave analysis; Chiral Lagrangian; meson production
Citation Formats
Dai, Ling -Yun, and Pennington, Michael R. Pion polarizabilities from a γγ→ππ analysis. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.94.116021.
Dai, Ling -Yun, & Pennington, Michael R. Pion polarizabilities from a γγ→ππ analysis. United States. https://doi.org/10.1103/PhysRevD.94.116021
Dai, Ling -Yun, and Pennington, Michael R. Fri .
"Pion polarizabilities from a γγ→ππ analysis". United States. https://doi.org/10.1103/PhysRevD.94.116021. https://www.osti.gov/servlets/purl/1338179.
@article{osti_1338179,
title = {Pion polarizabilities from a γγ→ππ analysis},
author = {Dai, Ling -Yun and Pennington, Michael R.},
abstractNote = {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.},
doi = {10.1103/PhysRevD.94.116021},
journal = {Physical Review D},
number = 11,
volume = 94,
place = {United States},
year = {Fri Dec 30 00:00:00 EST 2016},
month = {Fri Dec 30 00:00:00 EST 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 15 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Measurement of the πmeson polarizabilities via the γp → γπ+n reaction
journal, December 2004
- Ahrens, J.; Alexeev, V. M.; Annand, J. R. M.
- The European Physical Journal A, Vol. 23, Issue 1
Hadronic light-by-light scattering and the pion polarizability
journal, August 2012
- Engel, Kevin T.; Patel, Hiren H.; Ramsey-Musolf, Michael J.
- Physical Review D, Vol. 86, Issue 3
Two photons into π0π0
journal, June 2008
- Oller, J. A.; Roca, L.
- The European Physical Journal A, Vol. 37, Issue 1
Measurement of the Charged-Pion Polarizability
journal, February 2015
- Adolph, C.; Akhunzyanov, R.; Alexeev, M. G.
- Physical Review Letters, Vol. 114, Issue 6
Chiral symmetry and pion polarizabilities
journal, February 1992
- Babusci, D.; Bellucci, S.; Giordano, G.
- Physics Letters B, Vol. 277, Issue 1-2
Revisiting at low energies
journal, June 2006
- Gasser, J.; Ivanov, M. A.; Sainio, M. E.
- Nuclear Physics B, Vol. 745, Issue 1-2
Two photon couplings of the lightest isoscalars from BELLE data
journal, September 2014
- Dai, Ling-Yun; Pennington, M. R.
- Physics Letters B, Vol. 736
Low-energy photon–photon collisions to two loops revisited
journal, November 2005
- Gasser, J.; Ivanov, M. A.; Sainio, M. E.
- Nuclear Physics B, Vol. 728, Issue 1-3
Electromagnetic corrections for pions and kaons: masses and polarizabilities
journal, April 1997
- Bijnens, Johan; Prades, Joaquim
- Nuclear Physics B, Vol. 490, Issue 1-2
On the solution of certain singular integral equations of quantum field theory
journal, April 1958
- Omnès, E.
- Il Nuovo Cimento, Vol. 8, Issue 2
Roy–Steiner equations for γγ→ππ
journal, September 2011
- Hoferichter, Martin; Phillips, Daniel R.; Schat, Carlos
- The European Physical Journal C, Vol. 71, Issue 9
Dispersive analysis on the and resonances in , processes
journal, June 2009
- Mao, Yu; Wang, Xuan-Gong; Zhang, Ou
- Physical Review D, Vol. 79, Issue 11
MO analysis of the high statistics Belle results on γ γ→π + π −, π 0 π 0 with chiral constraints
journal, October 2010
- García-Martín, R.; Moussallam, B.
- The European Physical Journal C, Vol. 70, Issue 1-2
Experimental estimation of the sum of pion electrical and magnetic polarizabilities
journal, December 1985
- Antipov, Yu. M.; Batarin, V. A.; Bessubov, V. A.
- Zeitschrift f�r Physik C Particles and Fields, Vol. 26, Issue 4
Measurement of π−-meson polarizability in pion compton effect
journal, February 1983
- Antipov, Yu. M.; Batarin, V. A.; Bessubov, V. A.
- Physics Letters B, Vol. 121, Issue 6
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>
journal, January 2008
- Oller, José A.; Roca, Luis; Schat, Carlos
- Physics Letters B, Vol. 659, Issue 1-2
Comprehensive amplitude analysis of and below 1.5 GeV
journal, August 2014
- Dai, Ling-Yun; Pennington, M. R.
- Physical Review D, Vol. 90, Issue 3
Pion transitions and models of chiral symmetry
journal, October 1989
- Donoghue, John F.; Holstein, Barry R.
- Physical Review D, Vol. 40, Issue 7
Two-photon production of pion pairs
journal, September 1990
- Boyer, J.; Butler, F.; Gidal, G.
- Physical Review D, Vol. 42, Issue 5
Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory
journal, June 2008
- Pasquini, B.; Drechsel, D.; Scherer, S.
- Physical Review C, Vol. 77, Issue 6
Pion-photon reactions and chiral dynamics in Primakoff processes at COMPASS
conference, January 2016
- Friedrich, Jan Michael
- AIP Conference Proceedings, Vol. 1701
Measurement of production in two-photon collisions
journal, June 1990
- Marsiske, H.; Antreasyan, D.; Bartels, H. W.
- Physical Review D, Vol. 41, Issue 11
Pion polarizabilities and charged pion-pair production to two loops
journal, November 1996
- Bürgi, U.
- Nuclear Physics B, Vol. 479, Issue 1-2
Radiative photoproduction of pions and pion compton scattering
journal, August 1986
- Aibergenov, T. A.; Baranov, P. S.; Beznisko, O. D.
- Czechoslovak Journal of Physics, Vol. 36, Issue 8
The New (g−2)[sub μ] Experiment at Fermilab
conference, January 2009
- Casey, Brendan C. K.; Marshak, Marvin L.
- 10TH CONFERENCE ON THE INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS, AIP Conference Proceedings
Determination of meson polarizabilities from the process
journal, March 2006
- Fil'kov, L. V.; Kashevarov, V. L.
- Physical Review C, Vol. 73, Issue 3
Determination of meson quadrupole polarizabilities from the process
journal, September 2005
- Fil’kov, L. V.; Kashevarov, V. L.
- Physical Review C, Vol. 72, Issue 3
Works referencing / citing this record:
Nature of the : A light-quark perspective
journal, April 2019
- Chen, Yun-Hua; Dai, Ling-Yun; Guo, Feng-Kun
- Physical Review D, Vol. 99, Issue 7