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The value of the pion polarizability is predicted with high precision by Chiral Perturbation Theory. However, the existing experimental values are at tension with this prediction as well as among themselves. The COMPASS experiment at the…

High Energy Physics - Experiment · Physics 2014-02-13 Stefan Huber

CERN COMPASS plans measurements of gamma-pi and gamma-K interactions using 50-280 GeV pion (kaon) beams and a virtual photon target. Pion (kaon) polarizabilities and radiative transitions will be measured via Primakoff effect reactions such…

High Energy Physics - Experiment · Physics 2009-10-31 Murray A. Moinester , Victor Steiner

The strength of the interaction of three pions and a photon, $F_{3\pi}$ is predicted by the axial anomaly in terms of the pion decay constant, a relation that is frequently used to constrain low-energy radiative processes involving pions,…

High Energy Physics - Phenomenology · Physics 2025-07-09 Martin Hoferichter , Bai-Long Hoid , Bastian Kubis

We explore the link between the chiral symmetry of QCD and the numerical results of the light-front quark model, analyzing both the two-point and three-point functions of the pion. Including the axial-vector coupling as well as the…

High Energy Physics - Phenomenology · Physics 2020-08-12 Ho-Meoyng Choi , Chueng-Ryong Ji

The COMPASS collaboration at CERN has investigated the \pi^- \gamma -> \pi^- \pi^- \pi^+ reaction at center-of-momentum energy below five pion masses, sqrt(s) < 5 m(\pi), embedded in the Primakoff reaction of 190 GeV pions impinging on a…

High Energy Physics - Experiment · Physics 2015-06-03 M. G. Alekseev , V. Yu. Alexakhin , Yu. Alexandrov , G. D. Alexeev , A. Amoroso , A. Austregesilo , B. Badelek , F. Balestra , J. Barth , G. Baum , Y. Bedfer , J. Bernhard , R. Bertini , M. Bettinelli , K. Bicker , R. Birsa , J. Bisplinghoff , P. Bordalo , F. Bradamante , A. Bravar , A. Bressan , E. Burtin , D. Chaberny , M. Chiosso , S. U. Chung , A. Cicuttin , M. L. Crespo , S. Dalla Torre , S. Das , S. S. Dasgupta , O. Yu. Denisov , L. Dhara , S. V. Donskov , N. Doshita , V. Duic , W. Dünnweber , M. Dziewiecki , A. Efremov , P. D. Eversheim , W. Eyrich , M. Faessler , A. Ferrero , A. Filin , M. Finger , M. Finger , H. Fischer , C. Franco , N. du Fresne von Hohenesche , J. M. Friedrich , R. Garfagnini , F. Gautheron , O. P. Gavrichtchouk , R. Gazda , S. Gerassimov , R. Geyer , M. Giorgi , I. Gnesi , B. Gobbo , S. Goertz , S. Grabm\" uller , A. Grasso , B. Grube , R. Gushterski , A. Guskov , F. Haas , D. von Harrach , T. Hasegawa , F. H. Heinsius , F. Herrmann , C. Hess , F. Hinterberger , N. Horikawa , Ch. Höppner , N. d'Hose , S. Huber , S. Ishimoto , O. Ivanov , Yu. Ivanshin , T. Iwata , R. Jahn , P. Jasinski , G. Jegou , R. Joosten , E. Kabuss , D. Kang , B. Ketzer , G. V. Khaustov , Yu. A. Khokhlov , Yu. Kisselev , F. Klein , K. Klimaszewski , S. Koblitz , J. H. Koivuniemi , V. N. Kolosov , K. Kondo , K. Königsmann , I. Konorov , V. F. Konstantinov , A. Korzenev , A. M. Kotzinian , O. Kouznetsov , M. Krämer , Z. V. Kroumchtein , F. Kunne , K. Kurek , L. Lauser , A. A. Lednev , A. Lehmann , S. Levorato , J. Lichtenstadt , A. Maggiora , A. Magnon , N. Makke , G. K. Mallot , A. Mann , C. Marchand , A. Martin , J. Marzec , F. Massmann , T. Matsuda , W. Meyer , T. Michigami , Yu. V. Mikhailov , M. A. Moinester , A. Morreale , A. Mutter , A. Nagaytsev , T. Nagel , F. Nerling , S. Neubert , D. Neyret , V. I. Nikolaenko , W. -D. Nowak , A. S. Nunes , A. G. Olshevsky , M. Ostrick , A. Padee , R. Panknin , D. Panzieri , B. Parsamyan , S. Paul , E. Perevalova , G. Pesaro , D. V. Peshekhonov , G. Piragino , S. Platchkov , J. Pochodzalla , J. Polak , V. A. Polyakov , G. Pontecorvo , J. Pretz , C. Quintans , J. -F. Rajotte , S. Ramos , V. Rapatsky , G. Reicherz , A. Richter , E. Rocco , E. Rondio , D. I. Ryabchikov , V. D. Samoylenko , A. Sandacz , H. Santos , M. G. Sapozhnikov , S. Sarkar , I. A. Savin , G. Sbrizzai , P. Schiavon , C. Schill , T. Schlüter , L. Schmitt , S. Schopferer , W. Schröder , O. Yu. Shevchenko , H. -W. Siebert , L. Silva , L. Sinha , A. N. Sissakian , M. Slunecka , G. I. Smirnov , S. Sosio , F. Sozzi , A. Srnka , M. Stolarski , M. Sulc , R. Sulej , P. Sznajder , S. Takekawa , S. Tessaro , F. Tessarotto , A. Teufel , L. G. Tkatchev , S. Uhl , I. Uman , M. Vandenbroucke , M. Virius , N. V. Vlassov , R. Windmolders , W. Wiślicki , H. Wollny , K. Zaremba , M. Zavertyaev , E. Zemlyanichkina , M. Ziembicki , N. Zhuravlev , A. Zvyagin

We review the cross sections for low-energy $\pi^- \gamma$ reactions in the framework of chiral perturbation theory. Charged pion Compton scattering, $\pi^- \gamma\to \pi^-\gamma$, is considered up to one-loop order where the pion's…

Nuclear Theory · Physics 2008-11-26 N. Kaiser , J. M. Friedrich

The electric alpha and magnetic beta pion Compton polarizabilities characterize the pion's deformation in the electromagnetic field of the gamma during gamma-pi Compton scattering. The pion polarizabilities are key observables, and provide…

High Energy Physics - Experiment · Physics 2008-11-26 Murray Moinester

The electric ${\alpha}_{\pi}$ and magnetic $\beta_{\pi}$ charged pion Compton polarizabilities are of fundamental interest in the low-energy sector of quantum chromodynamics (QCD).They are directly linked to the phenomenon of spontaneously…

High Energy Physics - Phenomenology · Physics 2018-06-19 Murray Moinester

We propose a formalism to extract the $\gamma\pi\to\pi\pi$ chiral anomaly $F_{3\pi}$ from calculations in lattice QCD performed at larger-than-physical pion masses. To this end, we start from a dispersive representation of the…

High Energy Physics - Phenomenology · Physics 2021-12-16 Malwin Niehus , Martin Hoferichter , Bastian Kubis

A fundamental property of QCD is the presence of the chiral anomaly, which is the primary component of the $\pi^0\rightarrow\gamma\gamma$ decay amplitude. Based on this anomaly and its small ($\simeq$ 4.5%) chiral correction, a firm…

High Energy Physics - Phenomenology · Physics 2015-06-03 A. M. Bernstein , Barry R. Holstein

CERN COMPASS can investigate pion-photon interactions, to achieve a unique Primakoff Coulomb physics program, centered on pion polarizability and hybrid meson structure studies. COMPASS uses 100-280 GeV beams (muon, pion) and a virtual…

High Energy Physics - Experiment · Physics 2007-05-23 Murray Moinester

For the gamma-pion interaction, the perturbative expansion of the effective chiral Lagrangian (chi-PT) can be limited to terms quartic in momenta and masses (O(p4)), or to higher order. The abnormal intrinsic parity (chiral anomaly)…

High Energy Physics - Phenomenology · Physics 2008-02-03 Murray A. Moinester

The electric alpha and magnetic beta pion Compton polarizabilities characterize the pion's deformation in the electromagnetic field of the gamma during gamma-pi Compton scattering. The chi_PT effective Lagrangian, using data from radiative…

High Energy Physics - Experiment · Physics 2007-05-23 Murray Moinester

The COMPASS experiment at CERN SPS will use hadron beams (pion, kaon and proton) and muons at 50-280 GeV/c and virtual photon targets to investigate, via Primakoff effect, important hadron properties: polarizability, chiral anomaly,…

High Energy Physics - Experiment · Physics 2007-05-23 Murray A. Moinester , Victor Steiner , Serguei Prakhov

Consider high energy (GeV) beam particles scattering from the Coulomb field of a target nucleus (Z, A). The Coulomb field acts as a target of $\gamma^*$ virtual photons, with the target density proportional to Z$^2$. Henry Primakoff was the…

High Energy Physics - Phenomenology · Physics 2026-03-17 Murray Moinester

The COMPASS collaboration at CERN has investigated pion Compton scattering, $\pi^-\gamma\rightarrow \pi^-\gamma$, at centre-of-mass energy below 3.5 pion masses. The process is embedded in the reaction…

High Energy Physics - Experiment · Physics 2015-03-05 C. Adolph , R. Akhunzyanov , M. G. Alexeev , G. D. Alexeev , A. Amoroso , V. Andrieux , V. Anosov , A. Austregesilo , B. Badelek , F. Balestra , J. Barth , G. Baum , R. Beck , Y. Bedfer , A. Berlin , J. Bernhard , K. Bicker , J. Bieling , R. Birsa , J. Bisplinghoff , M. Bodlak , M. Boer , P. Bordalo , F. Bradamante , C. Braun , A. Bressan , M. Buechele , E. Burtin , L. Capozza , M. Chiosso , S. U. Chung , A. Cicuttin , M. Colantoni , M. L. Crespo , Q. Curiel , S. Dalla Torre , S. S. Dasgupta , S. Dasgupta , O. Yu. Denisov , A. M. Dinkelbach , S. V. Donskov , N. Doshita , V. Duic , W. Duennweber , M. Dziewiecki , A. Efremov , C. Elia , P. D. Eversheim , W. Eyrich , M. Faessler , A. Ferrero , A. Filin , M. Finger , M. jr. Finger , H. Fischer , C. Franco , N. du Fresne von Hohenesche , J. M. Friedrich , V. Frolov , F. Gautheron , O. P. Gavrichtchouk , S. Gerassimov , R. Geyer , I. Gnesi , B. Gobbo , S. Goertz , M. Gorzellik , S. Grabmueller , A. Grasso , B. Grube , T. Grussenmeyer , A. Guskov , T. Guthoerl , F. Haas , D. von Harrach , D. Hahne , R. Hashimoto , F. H. Heinsius , F. Herrmann , F. Hinterberger , Ch. Hoeppner , N. Horikawa , N. d'Hose , S. Huber , S. Ishimoto , A. Ivanov , Yu. Ivanshin , T. Iwata , R. Jahn , V. Jary , P. Jasinski , P. Joerg , R. Joosten , E. Kabuss , B. Ketzer , G. V. Khaustov , Yu. A. Khokhlov , Yu. Kisselev , F. Klein , K. Klimaszewski , J. H. Koivuniemi , V. N. Kolosov , K. Kondo , K. Koenigsmann , I. Konorov , V. F. Konstantinov , A. M. Kotzinian , O. Kouznetsov , M. Kraemer , Z. V. Kroumchtein , N. Kuchinski , R. Kuhn , F. Kunne , K. Kurek , R. P. Kurjata , A. A. Lednev , A. Lehmann , M. Levillain , S. Levorato , J. Lichtenstadt , A. Maggiora , A. Magnon , N. Makke , G. K. Mallot , C. Marchand , A. Martin , J. Marzec , J. Matousek , H. Matsuda , T. Matsuda , G. Meshcheryakov , W. Meyer , T. Michigami , Yu. V. Mikhailov , Y. Miyachi , M. A. Moinester , A. Nagaytsev , T. Nagel , F. Nerling , S. Neubert , D. Neyret , V. I. Nikolaenko , J. Novy , W. -D. Nowak , A. S. Nunes , A. G. Olshevsky , I. Orlov , M. Ostrick , R. Panknin , D. Panzieri , B. Parsamyan , S. Paul , D. Peshekhonov , S. Platchkov , J. Pochodzalla , V. A. Polyakov , J. Pretz , M. Quaresma , C. Quintans , S. Ramos , C. Regali , G. Reicherz , E. Rocco , N. S. Rossiyskaya , D. I. Ryabchikov , A. Rychter , V. D. Samoylenko , A. Sandacz , S. Sarkar , I. A. Savin , G. Sbrizzai , P. Schiavon , C. Schill , T. Schlueter , K. Schmidt , H. Schmieden , K. Schoenning , S. Schopferer , M. Schott , O. Yu. Shevchenko , L. Silva , L. Sinha , S. Sirtl , M. Slunecka , S. Sosio , F. Sozzi , A. Srnka , L. Steiger , M. Stolarski , M. Sulc , R. Sulej , H. Suzuki , A. Szabelski , T. Szameitat , P. Sznajder , S. Takekawa , J. ter Wolbeek , S. Tessaro , F. Tessarotto , F. Thibaud , S. Uhl , I. Uman , M. Virius , L. Wang , T. Weisrock , M. Wilfert , R. Windmolders , H. Wollny , K. Zaremba , M. Zavertyaev , E. Zemlyanichkina , M. Ziembicki , A. Zink

A review of photo-pion experiments on the nucleon in the near threshold region is presented. Comparisons of the results are made with the predictions of the low energy theorems of QCD calculated using chiral perturbation theory (ChPT) which…

Nuclear Experiment · Physics 2009-12-15 Aron M. Bernstein , Mohammad W. Ahmed , Sean Stave , Ying K. Wu , Henry R. Weller

Based on the spontaneous breaking of chiral symmetry, chiral perturbation theory (ChPT) is believed to approximate confinement scale QCD. Dedicated and increasingly accurate experiments and improving lattice calculations are confirming this…

High Energy Physics - Experiment · Physics 2013-04-17 A. M. Bernstein

Quantum anomalies are the breaking of a classical symmetry by quantum fluctuations. They dictate how physical systems of diverse nature, ranging from fundamental particles to crystalline materials, respond topologically to external…

Mesoscale and Nanoscale Physics · Physics 2016-02-12 Jan Behrends , Adolfo G. Grushin , Teemu Ojanen , Jens H. Bardarson

Chiral effective field theory predicts a specific charge symmetry violating amplitude for pion production. This term is shown to provide the dominant contribution to the forward-backward asymmetry in the angular distribution for the…

Nuclear Theory · Physics 2011-02-01 U. van Kolck , J. A. Niskanen , G. A. Miller
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