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We present a comprehensive analysis of the dispersion relations for the doubly-virtual process $\gamma^*\gamma^*\to\pi\pi$. Starting from the Bardeen-Tung-Tarrach amplitudes, we first derive the kernel functions that define the system of…

High Energy Physics - Phenomenology · Physics 2019-07-17 Martin Hoferichter , Peter Stoffer

We improve, in the energy region between $\bar{K}K$ threshold and $\sim~1.4$ GeV, the energy-dependent phase shift analysis of $\pi\pi$ scattering presented in a previous paper. For the S0 wave we have included more data above $\bar{K}K$…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. Kaminski , J. R. Pelaez , F. J. Yndurain

We study the $J/\psi \to \gamma \pi^+ \pi^-$, $\gamma \pi^0 \eta$ reactions from the perspective that they come from the $J/\psi \to \phi(\omega) \pi^+ \pi^-, \rho^0\pi^0 \eta$ reactions, where the $\rho^0$, $\omega$, and $\phi$ get…

High Energy Physics - Phenomenology · Physics 2020-01-15 S. Sakai , Wei-Hong Liang , G. Toledo , E. Oset

The naive use of higher order perturbation theory leads the left--hand cut integrals in $\pi\pi$ dispersion relations~\cite{hjy,Xiao01} divergent. This problem is discussed and solved. Also we point out that the Adler zero condition imposes…

High Energy Physics - Phenomenology · Physics 2009-11-07 Zhiguang Xiao , Hanqing Zheng

We present preliminary results of an improved pion-pion scattering dispersive analysis that includes: a refined treatment of inelasticities, the introduction of G-waves, the extension of Forward Dispersion Relations as constraints up to 1.6…

High Energy Physics - Phenomenology · Physics 2025-02-19 P. Rabán , J. R. Peláez , J. Ruiz de Elvira

Differential cross sections for the reaction $\gamma p \to K^{*0} \Sigma^+$ are presented at nine bins in photon energy in the range from 1.7 to 3.0 GeV. The \kstar was detected by its decay products, $K^+\pi^-$, in the CLAS detector at…

Nuclear Experiment · Physics 2014-11-18 I. Hleiqawi , K. Hicks , D. Carman , T. Mibe

The results of the recent experiments on the reaction $\pi^-p\to\pi^0\pi^0n$ performed at KEK, BNL, IHEP, and CERN are analyzed in detail. For the I=0 $\pi\pi$ S wave phase shift $\delta^0_0$ and inelasticity $\eta^0_0$ a new set of data is…

High Energy Physics - Phenomenology · Physics 2009-11-10 N. N. Achasov , G. N. Shestakov

The cross section for different processes induced by $e^+e^-$ annihilation, in the kinematical limit $\beta_{\mu}\approx\beta_{\pi}=(1-m_{\pi}^2/\epsilon^2)^{1/2}\sim 1$, is calculated taking into account first order corrections to the…

High Energy Physics - Phenomenology · Physics 2008-12-25 E. A. Kuraev , A. I. Ahmadov , S. N. Panov , E. Tomasi-Gustafsson

The quasi-free $\gamma d\to\pi^{-}p(p)$ differential cross section has been measured with CLAS at photon beam energies $E_\gamma$ from 0.445 GeV to 2.510 GeV (corresponding to $W$ from 1.311 GeV to 2.366 GeV) for pion center-of-mass angles…

Nuclear Experiment · Physics 2017-09-27 P. T. Mattione , D. S. Carman , I. I. Strakovsky , R. L. Workman , A. E. Kudryavtsev , A. Svarc , V. E. Tarasov , K. P. Adhikari , S. Adhikari , D. Adikaram , Z. Akbar , S. Anefalos Pereira , J. Ball , N. A. Baltzell , M. Bashkanov , M. Battaglieri , V. Batourine , I. Bedlinskiy , A. S. Biselli , S. Boiarinov , W. J. Briscoe , V. D. Burkert , T. Cao , A. Celentano , G. Charles , T. Chetry , G. Ciullo , L. Clark , P. L. Cole , M. Contalbrigo , O. Cortes , V. Crede , A. D'Angelo , N. Dashyan , R. De Vita , E. De Sanctis , M. Defurne , A. Deur , C. Djalali , M. Dugger , R. Dupre , H. Egiyan , A. El Alaoui , L. El Fassi , P. Eugenio , G. Fedotov , R. Fersch , A. Filippi , J. A. Fleming , A. Fradi , Y. Ghandilyan , G. P. Gilfoyle , K. L. Giovanetti , F. X. Girod , C. Gleason , E. Golovatch , R. W. Gothe , K. A. Griffioen , M. Guidal , K. Hafidi , H. Hakobyan , C. Hanretty , N. Harrison , M. Hattawy , D. Heddle , K. Hicks , G. Hollis , M. Holtrop , S. M. Hughes , Y. Ilieva , D. G. Ireland , B. S. Ishkhanov , E. L. Isupov , D. Jenkins , H. Jiang , H. S. Jo , K. Joo , S. Joosten , D. Keller , G. Khachatryan , M. Khachatryan , M. Khandaker , A. Kim , W. Kim , A. Klein , F. J. Klein , V. Kubarovsky , S. V. Kuleshov , L. Lanza , P. Lenisa , K. Livingston , I. J. D. MacGregor , N. Markov , B. McKinnon , C. A. Meyer , Z. E. Meziani , T. Mineeva , V. Mokeev , R. A. Montgomery , A Movsisyan , C. Munoz Camacho , G. Murdoch , P. Nadel-Turonski , L. A. Net , S. Niccolai , G. Niculescu , I. Niculescu , M. Osipenko , A. I. Ostrovidov , M. Paolone , R. Paremuzyan , K. Park , E. Pasyuk , W. Phelps , S. Pisano , O. Pogorelko , J. W. Price , S. Procureur , Y. Prok , D. Protopopescu , B. A. Raue , M. Ripani , B. G. Ritchie , A. Rizzo , G. Rosner , F. Sabatié , C. Salgado , R. A. Schumacher , Y. G. Sharabian , A. Simonyan , Iu. Skorodumina , G. D. Smith , D. Sokhan , N. Sparveris , I. Stankovic , S. Stepanyan , S. Strauch , M. Taiuti , M. Ungaro , H. Voskanyan , E. Voutier , N. K. Walford , D Watts , X. Wei , M. H. Wood , N. Zachariou , J. Zhang , Z. W. Zhao

We have studied the $\gamma p \to K^0 \Sigma^+$ reaction in the energy region around the $K^* \Lambda$ and $K^* \Sigma$ thresholds, where the CBELSA/TAPS cross section shows a sudden drop and the differential cross section experiences a…

Nuclear Theory · Physics 2015-06-15 A. Ramos , E. Oset

In this work we construct the $\pi\pi$ scattering amplitude $T^0_0$ with regular analytical properties in the $s$ complex plane, which describes simultaneously the data on the $\pi\pi$ scattering, $\phi\to\pi^0\pi^0\gamma$ decay, and…

High Energy Physics - Phenomenology · Physics 2015-03-17 N. N. Achasov , A. V. Kiselev

We use recent data that show a narrow peak around $\sqrt{s}=2.37\ \text{GeV}$ in the $pn \to d \pi^+ \pi^-$ cross section, with about double strength at the peak than in the analogous $pn \to d \pi^0 \pi^0$ reaction, and, assuming that it…

Nuclear Theory · Physics 2013-08-09 Miguel Albaladejo , Eulogio Oset

The problem of Gamma + Pi --> Pi + Pi is studied using the axial anomaly, elastic unitarity, analyticity and crossing symmetry. Single variable dispersion relation is assumed. Using elastic unitarity relation, an integral equation equation…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tran N. Truong

The amplitude for the anomalous transitions gamma pi(+) -> pi(0) pi(+) is analyzed within Chiral Perturbation Theory including electromagnetic interactions. The presence of a t-channel one-photon exchange contribution induces sizeable e^2…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ll. Ametller , M. Knecht , P. Talavera

The cross section of the process $e^+e^-\to \pi^+\pi^-\pi^0$ was measured in the Spherical Neutral Detector (SND) experiment at the VEPP-2M collider in the energy region $\sqrt[]{s}$ below 980 MeV. This measurement was based on about $1.2…

Results of the study of the e+e-->pi0 gamma process with SND detector at VEPP-2M collider in the c.m.s. energy range sqrt(s)=0.60-0.97 GeV are presented. Using 36513 selected events corresponding to a total integrated luminosity of 3.4…

It is shown that the reactions $e^+e^-\to\gamma\pi^0\pi^0(\eta)$ give a good chance for observing scalar $a_0$ and $f_0$ mesons. In the photon energy region less then 100 MeV the vector meson contributions $e^+e^-\to V^0\to\pi^0…

High Energy Physics - Phenomenology · Physics 2009-10-30 N. N. Achasov , V. V. Gubin

Using the fact that the contribution of the states with isospin I=0 in the difference of the amplitudes of the processes \gamma \gamma->\pi^+\pi^- and \gamma\gamma->\pi^0\pi^0 is very small, we have analyzed the dispersion sum rules for the…

Nuclear Theory · Physics 2014-02-11 L. V. Fil'kov

Recent measurements of the branching ratios for the decays $\omega\to\pi^0\pi^0\gamma$ and $\rho^0\to\pi^0\pi^0\gamma$ lead to coupling constants of the $V\sigma\gamma$-interaction ($V$ is a vector meson) one order of magnitude smaller than…

Nuclear Theory · Physics 2009-11-10 Michail P. Rekalo , Egle Tomasi-Gustafsson