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The $\gamma\gamma \to \pi^0 \pi^0 \pi^0$ and $\gamma\gamma \to \pi^+ \pi^- \pi^0$ amplitudes are discussed in the general context of Chiral Perturbation Theory (ChPT) to $O(p^6)$. Chiral loops are found to play a major role. This makes…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. Talavera , Ll. Ametller , J. Bijnens , A. Bramon , F. Cornet

The N*(1440) -> N pi pi decay is studied by making use of the chiral reduction formula. This formula suggests a scalar-isoscalar pion-baryon contact interaction which is absent in the recent study of Hern{\'a}ndez et al. The contact…

Nuclear Theory · Physics 2009-11-10 H. Kamano , M. Morishita , M. Arima

We present a calculation of the low energy constants describing the real and imaginary parts of the $K \to \pi \pi$ decay amplitudes $A_0$ and $A_2$. Leading and next leading order chiral perturbation theory is used and its applicability…

High Energy Physics - Lattice · Physics 2010-01-21 Shu Li , Norman H. Christ

The influence of the hadronic \pi\pi interaction on the wave functions of pionium (the Coulomb bound \pi^+\pi^- system) at distances less than 10 fm is calculated for s-states with principal quantum numbers n<5. Hadronic \pi\pi potentials…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gashi , G. Rasche , W. S. Woolcock

Continuing our previous work(JHEP 0706:030,2007), large--$N_C$ techniques and partial wave dispersion relations are used to discuss $\pi\pi$ scattering amplitudes. We get a set of predictions for $O(p^6)$ low-energy chiral perturbation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Z. H. Guo , J. J. Sanz-Cillero , H. Q. Zheng

The coupling constants of D*D$\pi$ and B*B$\pi$ strong interactions are computed in the effective quark model with chiral symmetry incorporating Heavy quark effective theory (HQET) and Chiral perturbation theory at the quark level with…

High Energy Physics - Phenomenology · Physics 2022-03-02 A. N. Ivanov , N. I. Troitskaya

We present a study of the $\pi\pi$ scattering amplitude in the $\sigma$ and $\rho$ channels at finite temperature and nuclear density within a chiral unitary framework. Meson resonances are dynamically generated in our approach, which…

High Energy Physics - Phenomenology · Physics 2009-07-22 D. Cabrera , D. Fernandez-Fraile , A. Gomez Nicola

The processes involving $K^{-}p, KN, \Sigma\pi, \Lambda\pi,\Sigma\eta, \Lambda\eta$ coupled channels are studied in the nonperturbative chiral approach. An effective potential is constructed using a chiral meson-baryon Lagrangian at lowest…

High Energy Physics - Phenomenology · Physics 2016-09-06 B. Krippa

We review two manifestations of chiral symmetry breaking in the pion sector. First, we examine the $\pi\pi$ scattering amplitude at threshold, which is completely determined by the chiral symmetry breaking part of the strong interaction,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dinko Pocanic

We examine the D -> sigma pi amplitude through a constituent quark-meson model, incorporating heavy quark and chiral symmetries, finding a good agreement with the recent E791 data analysis of D -> 3 pi via sigma.

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Gatto , G. Nardulli , A. D. Polosa , N. A. Tornqvist

We calculate in (two-loop) chiral perturbation theory the local NN-potentials generated by certain classes of three-pion exchange diagrams. We stress that the chiral $3\pi NN$-contact vertex depends on the particular choice of the…

Nuclear Theory · Physics 2009-10-31 N. Kaiser

We evaluate energy levels of the K-pi system in the K* channel in finite volume using chiral unitary theory. We use these energy levels to obtain K-pi phase shifts, and then obtain the K* mass and its decay width. We investigate their…

High Energy Physics - Lattice · Physics 2015-05-15 Dan Zhou , Er-Liang Cui , Hua-Xing Chen , Li-Sheng Geng , Li-Hua Zhu

Explicit expressions for pion correlators are derived in position-space, employing Chiral Perturbation Theory (ChPT). Resonance exchange contributions are included to test the range of applicability of the leading-order ChPT expressions.…

High Energy Physics - Phenomenology · Physics 2016-12-26 Peter C. Bruns

The values of charged pion polarizabilities obtained in the framework of chiral perturbation theory at the level of two-loop accuracy are compared with the experimental result recently reported by COMPASS Collaboration. It is found that the…

High Energy Physics - Phenomenology · Physics 2015-12-09 Mikhail A. Ivanov

The master formula approach to chiral symmetry breaking is used to analyze the phase shifts for $\pi\pi$ scattering in the elastic region. The results are in excellent agreement with the data for the phase shifts up to the K-K bar…

High Energy Physics - Phenomenology · Physics 2009-10-28 James V. Steele , Hidenaga Yamagishi , Ismail Zahed

An analysis of electromagnetic corrections to the (dominant) octet K -> pi pi hamiltonian using chiral perturbation theory is carried out. Relative shifts in amplitudes at the several per cent level are found.

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Cirigliano , J. Donoghue , E. Golowich

A system of dispersive representations of the Omn\`es-Khuri-Treiman-Sawyer-Wali type for the final-state interactions in the amplitudes of the $K\to\pi\pi\pi$ weak transitions is constructed, under the assumptions that CP and isospin…

High Energy Physics - Phenomenology · Physics 2024-03-27 Véronique Bernard , Sébastien Descotes-Genon , Marc Knecht , Bachir Moussallam

We calculate the pion-pion elastic scattering phase shifts for pion masses from the chiral limit to values of interest for lattice studies. At low energies, we use the standard Chiral Perturbation Theory expressions to one and two loops. In…

High Energy Physics - Phenomenology · Physics 2011-10-11 J. Nebreda , J. R. Pelaez , G. Rios

Preliminary results of the strong interaction shift and width in pionic hydrogen ($\pi H$) using an X-ray spectrometer with spherically bent crystals and CCDs as X-ray detector are presented. In the experiment at the Paul Scherrer Institute…

Atomic Physics · Physics 2007-05-23 Martino Trassinelli

The five different CP conserving amplitudes for the decays $K\to3\pi$ are calculated using Chiral Perturbation Theory. The calculation is made to next-to-leading order and includes full isospin breaking. The squared amplitudes are compared…

High Energy Physics - Phenomenology · Physics 2009-11-10 Johan Bijnens , Fredrik Borg
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