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The emission of the hard photon by the initial state is considered. The nucleon polarization and the differential cross sections for some experimental conditions have been calculated. The case of the emission of the collinear (with respect…

High Energy Physics - Phenomenology · Physics 2018-03-23 G. I. Gakh , N. P. Merenkov , M. I. Konchatnij , A. G. Gakh

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

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 theoretical study of cross sections for polarized--target measurements of $ \pi N \to \pi \pi N $ reactions gives evidence that the interplay between the strong contribution from OPE mechanism and the one from isobar exchanges, which is…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Bolokhov , V. A. Kozhevnikov , S. G. Sherman , D. N. Tatarkin

We present results from a comprehensive partial-wave analysis of pi+-p elastic scattering and charge-exchange data, covering the region from threshold to 2.6 GeV in the lab pion kinetic energy, employing a coupled-channel formalism to…

Nuclear Theory · Physics 2009-09-29 R. A. Arndt , W. J. Briscoe , I. I. Strakovsky , R. L. Workman

A new sum rule for $\gamma_\pi$, the backward spin polarizability of the nucleon, is derived from a backward-angle dispersion relation. Taking into account single- and multi-pion photoproduction in the s-channel up to the energy 1.5 GeV and…

Nuclear Theory · Physics 2009-10-31 A. I. L'vov , A. M. Nathan

A proton spin-polarizability characterizing backward Compton scattering has been extracted from a dispersion analysis of data between 33 and 309 MeV. This backward spin-polarizability, "delta" = 27.1 +/-2.2(stat+sys) +2.8/-2.4(model) in…

Nuclear Theory · Physics 2009-10-31 J. Tonnison , A. M. Sandorfi , S. Hoblit , A. M. Nathan

We discuss ${\gamma}{\gamma}\to {\pi}{\pi}$ reactions, starting from the two-pion threshold up to about $\sqrt{s_{{\gamma}{\gamma}}}$ = 6 GeV. We include the dipion continuum due to pion exchange (for ${\pi}^+{\pi}^-$) and ${\rho}^\pm$…

Nuclear Theory · Physics 2013-05-29 Mariola Kłusek-Gawenda , Antoni Szczurek

We present a high-statistics measurement of differential cross sections and the total cross section for the process gamma gamma -> pi^0 pi^0 in the kinematic range 0.6 GeV <= W <= 4.0 GeV and |cos theta*| <= 0.8, where W and theta* are the…

High Energy Physics - Experiment · Physics 2009-10-06 Belle Collaboration , S. Uehara , Y. Watanabe

A rigorous multipole analysis of the recent {\gamma}p -> \pi^{0}p cross section measurement is presented. The data were taken using the photon spectrometer TAPS at the tagged photon beam of the Mainz microtron. The s and p wave multipoles…

Nuclear Experiment · Physics 2008-11-26 A. M. Bernstein , E. Shuster , R. Beck , M. Fuchs , B. Krusche , H. Merkel , H. Stroher

We evaluate the amplitude for gamma gamma --> pi^+ pi^- to two loops in the framework of chiral perturbation theory.The three new coupling constants that enter the result at this order in the low-energy expansion are estimated via resonance…

High Energy Physics - Phenomenology · Physics 2011-07-19 Urs Buergi

In view of ongoing experimental activities to determine the pion polarizabilities, we have started to recalculate the available two-loop expressions in the framework of chiral perturbation theory, because they have never been checked…

High Energy Physics - Phenomenology · Physics 2008-11-26 Juerg Gasser , Mikhail A. Ivanov , Mikko E. Sainio

A simple partial wave amplitude analysis of $\overline{p}p \rightarrow \pi^- \pi^+$ has been performed for data in the range p$_{\sl lab}$ = 360 -- 1000 MeV/c. Remarkably few partial waves are required to fit the data, while the number of…

High Energy Physics - Phenomenology · Physics 2009-09-25 W. M. Kloet , F. Myhrer

We generalize the sum rules for the nucleon electric plus magnetic polarizability $\Sigma=\alpha+\beta$ and for the nucleon spin-polarizability $\gamma$, to virtual photons with $Q^2>0$. The dominant low energy cross sections are…

Nuclear Theory · Physics 2009-10-31 J. Edelmann , N. Kaiser , G. Piller , W. Weise

Absolute differential cross sections for the reaction (e+p -> e+p+gamma) have been measured at a four-momentum transfer with virtuality Q^2=0.33 GeV^2 and polarization \epsilon = 0.62 in the range 33.6 to 111.5 MeV/c for the momentum of the…

High Energy Physics - Experiment · Physics 2008-11-26 The VCS , A1 collaboration

Starting from hyperbolic dispersion relations, we derive a system of Roy--Steiner equations for pion Compton scattering that respects analyticity, unitarity, gauge invariance, and crossing symmetry. It thus maintains all symmetries of the…

High Energy Physics - Phenomenology · Physics 2011-09-27 Martin Hoferichter , Daniel R. Phillips , Carlos Schat

We extract the $e^+e^-\rightarrow \pi^+\pi^-$ cross section in the energy range between 600 and 900 MeV, exploiting the method of initial state radiation. A data set with an integrated luminosity of 2.93 fb$^{-1}$ taken at a center-of-mass…

High Energy Physics - Experiment · Physics 2021-01-12 M. Ablikim , M. N. Achasov , X. C. Ai , O. Albayrak , M. Albrecht , D. J. Ambrose , A. Amoroso , F. F. An , Q. An , J. Z. Bai , R. Baldini Ferroli , Y. Ban , D. W. Bennett , J. V. Bennett , M. Bertani , D. Bettoni , J. M. Bian , F. Bianchi , E. Boger , I. Boyko , R. A. Briere , H. Cai , X. Cai , O. Cakir , A. Calcaterra , G. F. Cao , S. A. Cetin , J. F. Chang , G. Chelkov , G. Chen , H. S. Chen , H. Y. Chen , J. C. Chen , M. L. Chen , S. J. Chen , X. Chen , X. R. Chen , Y. B. Chen , H. P. Cheng , X. K. Chu , G. Cibinetto , H. L. Dai , J. P. Dai , A. Dbeyssi , D. Dedovich , Z. Y. Deng , A. Denig , I. Denysenko , M. Destefanis , F. De Mori , Y. Ding , C. Dong , J. Dong , L. Y. Dong , M. Y. Dong , S. X. Du , P. F. Duan , E. E. Eren , J. Z. Fan , J. Fang , S. S. Fang , X. Fang , Y. Fang , L. Fava , F. Feldbauer , G. Felici , C. Q. Feng , E. Fioravanti , M. Fritsch , C. D. Fu , Q. Gao , X. Y. Gao , Y. Gao , Z. Gao , I. Garzia , K. Goetzen , W. X. Gong , W. Gradl , M. Greco , M. H. Gu , Y. T. Gu , Y. H. Guan , A. Q. Guo , L. B. Guo , Y. Guo , Y. P. Guo , Z. Haddadi , A. Hafner , S. Han , X. Q. Hao , F. A. Harris , K. L. He , X. Q. He , T. Held , Y. K. Heng , Z. L. Hou , C. Hu , H. M. Hu , J. F. Hu , T. Hu , Y. Hu , G. M. Huang , G. S. Huang , J. S. Huang , X. T. Huang , Y. Huang , T. Hussain , Q. Ji , Q. P. Ji , X. B. Ji , X. L. Ji , L. W. Jiang , X. S. Jiang , X. Y. Jiang , J. B. Jiao , Z. Jiao , D. P. Jin , S. Jin , T. Johansson , A. Julin , N. Kalantar-Nayestanaki , X. L. Kang , X. S. Kang , M. Kavatsyuk , B. C. Ke , P. Kiese , R. Kliemt , B. Kloss , O. B. Kolcu , B. Kopf , M. Kornicer , W. Kühn , A. Kupsc , J. S. Lange , M. Lara , P. Larin , C. Leng , C. Li , Cheng Li , D. M. Li , F. Li , F. Y. Li , G. Li , H. B. Li , J. C. Li , Jin Li , K. Li , K. Li , Lei Li , P. R. Li , T. Li , W. D. Li , W. G. Li , X. L. Li , X. M. Li , X. N. Li , X. Q. Li , Z. B. Li , H. Liang , Y. F. Liang , Y. T. Liang , G. R. Liao , D. X. Lin , B. J. Liu , C. X. Liu , F. H. Liu , Fang Liu , Feng Liu , H. B. Liu , H. H. Liu , H. H. Liu , H. M. Liu , J. Liu , J. B. Liu , J. P. Liu , J. Y. Liu , K. Liu , K. Y. Liu , L. D. Liu , P. L. Liu , Q. Liu , S. B. Liu , X. Liu , Y. B. Liu , Z. A. Liu , Zhiqing Liu , H. Loehner , X. C. Lou , H. J. Lu , J. G. Lu , Y. Lu , Y. P. Lu , C. L. Luo , M. X. Luo , T. Luo , X. L. Luo , X. R. Lyu , F. C. Ma , H. L. Ma , L. L. Ma , Q. M. Ma , T. Ma , X. N. Ma , X. Y. Ma , F. E. Maas , M. Maggiora , Y. J. Mao , Z. P. Mao , S. Marcello , J. G. Messchendorp , J. Min , R. E. Mitchell , X. H. Mo , Y. J. Mo , C. Morales Morales , K. Moriya , N. Yu. Muchnoi , H. Muramatsu , Y. Nefedov , F. Nerling , I. B. Nikolaev , Z. Ning , S. Nisar , S. L. Niu , X. Y. Niu , S. L. Olsen , Q. Ouyang , S. Pacetti , P. Patteri , M. Pelizaeus , H. P. Peng , K. Peters , J. Pettersson , J. L. Ping , R. G. Ping , R. Poling , V. Prasad , M. Qi , S. Qian , C. F. Qiao , L. Q. Qin , N. Qin , X. S. Qin , Z. H. Qin , J. F. Qiu , K. H. Rashid , C. F. Redmer , M. Ripka , G. Rong , Ch. Rosner , X. D. Ruan , V. Santoro , A. Sarantsev , M. Savrié , K. Schoenning , S. Schumann , W. Shan , M. Shao , C. P. Shen , P. X. Shen , X. Y. Shen , H. Y. Sheng , W. M. Song , M. R. Shepherd , X. Y. Song , S. Sosio , S. Spataro , G. X. Sun , J. F. Sun , S. S. Sun , Y. J. Sun , Y. Z. Sun , Z. J. Sun , Z. T. Sun , C. J. Tang , X. Tang , I. Tapan , E. H. Thorndike , M. Tiemens , M. Ullrich , I. Uman , G. S. Varner , B. Wang , D. Wang , D. Y. Wang , K. Wang , L. L. Wang , L. S. Wang , M. Wang , P. Wang , P. L. Wang , S. G. Wang , W. Wang , X. F. Wang , Y. D. Wang , Y. F. Wang , Y. Q. Wang , Z. Wang , Z. G. Wang , Z. H. Wang , Z. Y. Wang , T. Weber , D. H. Wei , J. B. Wei , P. Weidenkaff , S. P. Wen , U. Wiedner , M. Wolke , L. H. Wu , Z. Wu , L. G. Xia , Y. Xia , D. Xiao , H. Xiao , Z. J. Xiao , Y. G. Xie , Q. L. Xiu , G. F. Xu , L. Xu , Q. J. Xu , X. P. Xu , L. Yan , W. B. Yan , W. C. Yan , Y. H. Yan , H. J. Yang , H. X. Yang , L. Yang , Y. Yang , Y. X. Yang , M. Ye , M. H. Ye , J. H. Yin , B. X. Yu , C. X. Yu , J. S. Yu , C. Z. Yuan , W. L. Yuan , Y. Yuan , A. Yuncu , A. A. Zafar , A. Zallo , Y. Zeng , B. X. Zhang , B. Y. Zhang , C. Zhang , C. C. Zhang , D. H. Zhang , H. H. Zhang , H. Y. Zhang , J. J. Zhang , J. L. Zhang , J. Q. Zhang , J. W. Zhang , J. Y. Zhang , J. Z. Zhang , K. Zhang , L. Zhang , X. Y. Zhang , Y. Zhang , Y. N. Zhang , Y. H. Zhang , Y. T. Zhang , Yu Zhang , Z. H. Zhang , Z. P. Zhang , Z. Y. Zhang , G. Zhao , J. W. Zhao , J. Y. Zhao , J. Z. Zhao , Lei Zhao , Ling Zhao , M. G. Zhao , Q. Zhao , Q. W. Zhao , S. J. Zhao , T. C. Zhao , Y. B. Zhao , Z. G. Zhao , A. Zhemchugov , B. Zheng , J. P. Zheng , W. J. Zheng , Y. H. Zheng , B. Zhong , L. Zhou , X. Zhou , X. K. Zhou , X. R. Zhou , X. Y. Zhou , K. Zhu , K. J. Zhu , S. Zhu , S. H. Zhu , X. L. Zhu , Y. C. Zhu , Y. S. Zhu , Z. A. Zhu , J. Zhuang , L. Zotti , B. S. Zou , J. H. Zou

We present a theoretical study of the $\gamma\gamma^{*} \to \pi^+\pi^-, \pi^0\pi^0$ processes from the threshold through the $f_2(1270)$ region in the $\pi\pi$ invariant mass. We adopt the Omn\`es representation in order to account for…

High Energy Physics - Phenomenology · Physics 2019-01-23 Igor Danilkin , Marc Vanderhaeghen

We discuss the virtual Compton scattering amplitude $\gamma^\ast+\pi\to \gamma+\pi$ which enters the reaction $\pi^-+e^-\to\pi^-+e^-+\gamma$. The low-energy scattering amplitude is divided into a model-independent part, involving only the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Scherer

It is noted that the low-energy behavior of the pion-photon transition form factor $F_{\pi\gamma}(Q^2)$ is sensitive to the transverse distribution of the pion wavefunction, and its high-energy behavior is sensitive to the longitudinal one.…

High Energy Physics - Phenomenology · Physics 2016-07-18 Tao Zhong , Xing-Gang Wu , Tao Huang