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We calculate in chiral perturbation theory the double-pion photoproduction processes $\pi^-\gamma \to \pi^- \pi^0\pi^0$ and $\pi^-\gamma\to \pi^+\pi^-\pi^-$ at low energies. At leading order these reactions are governed by the chiral…

高能物理 - 唯象学 · 物理学 2011-03-28 N. Kaiser

We evaluate the amplitude for $\gamma \gamma \rightarrow \pi^0 \pi^0$ to two loops in chiral perturbation theory. The three new counterterms which enter at this order in the low-energy expansion are estimated with resonance saturation. We…

高能物理 - 唯象学 · 物理学 2011-07-19 S. Bellucci , J. Gasser , M. E. Sainio

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…

高能物理 - 唯象学 · 物理学 2011-07-19 Urs Buergi

I consider some selected topics in chiral perturbation theory (CHPT) as probed at colliders such as DA$\Phi$NE. Emphasis is put on processes involving pions in the isospin zero S-wave which require multi-loop calculations. These include the…

高能物理 - 唯象学 · 物理学 2009-09-25 Ulf-G. Meißner

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…

核理论 · 物理学 2008-11-26 N. Kaiser , J. M. Friedrich

The cross section for $\gamma\gamma\to\pi^0\pi^0$ and the pion polarizabilities are computed, within generalized chiral perturbation theory, in the full one loop approximation, {\it i.e.} up to and including order $O({p^5})$. The result…

高能物理 - 唯象学 · 物理学 2009-10-28 M. Knecht , B. Moussallam , J. Stern

Recent attempts to detect the pion polarizability via analysis of $\gamma\gamma\rightarrow\pi\pi$ measurements are examined. The connection between calculations based on dispersion relations and on chiral perturbation theory is established…

高能物理 - 唯象学 · 物理学 2011-07-19 John F. Donoghue , Barry R. Holstein

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…

高能物理 - 唯象学 · 物理学 2008-11-26 Juerg Gasser , Mikhail A. Ivanov , Mikko E. Sainio

We complete the recalculation of the available two-loop expressions for the reaction \gamma\gamma->\pi\pi in the framework of chiral perturbation theory. Here, we present the results for charged pions. The cross section and the values of…

高能物理 - 唯象学 · 物理学 2009-11-11 Juerg Gasser , Mikhail A. Ivanov , Mikko E. Sainio

Chiral perturbation theory is the effective field theory of the strong interactions at low energies. We will give a short introduction to chiral perturbation theory for mesons and will discuss, as an example, the electromagnetic…

高能物理 - 唯象学 · 物理学 2015-06-25 Stefan Scherer

We investigate pion photoproduction off the proton in a manifestly gauge-invariant chiral unitary extension of chiral perturbation theory. In a first step, we consider meson-baryon scattering taking into account all next-to-leading order…

核理论 · 物理学 2013-05-30 Maxim Mai , Peter C. Bruns , Ulf-G. Meissner

I present some recent results on neutral pion photo- and electroproduction in the threshold region and discuss the low energy theorem for $E_{0+}$ and some novel ones for the $P$-waves. I also study the two-pion production process $\gamma N…

高能物理 - 唯象学 · 物理学 2009-10-28 V. Bernard

We project onto the light-front the pion's Poincare'-covariant Bethe-Salpeter wave-function, obtained using two different approximations to the kernels of QCD's Dyson-Schwinger equations. At an hadronic scale both computed results are…

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…

高能物理 - 唯象学 · 物理学 2018-06-19 Murray Moinester

The cross-section for a charged pion pair production by two photons is evaluated by using the low energy expression previously obtained from current algebra and PCAC which involves an integral over a vector and axial-vector spectral…

高能物理 - 唯象学 · 物理学 2007-05-23 N. F. Nasrallah , K. Schilcher

In a small window of phase space, chiral perturbation theory can be used to make standard model predictions for tau decays into two and three pions. For $\tau \to 2\pi \nu_\tau$, we give the analytical result for the relevant form factor…

高能物理 - 唯象学 · 物理学 2009-10-28 G. Colangelo , M. Finkemeier , R. Urech

We give the amplitude for $\gamma\gamma \rightarrow \pi^+\pi^-\pi^0$ in leading order chiral perturbation theory. For the case of real photons we calculate the total and differential cross section. Furthermore, we give the dependence of the…

高能物理 - 唯象学 · 物理学 2009-10-28 J. W. Bos , Y. C. Lin , H. H. Shih

Broken chiral symmetry has become the basis for a unified treatment of hadronic interactions at low energies. After reviewing mechanisms for spontaneous chiral symmetry breaking, I outline the construction of the low--energy effective field…

高能物理 - 唯象学 · 物理学 2009-10-31 Gerhard Ecker

The low-energy effective theory of nuclear physics based on chiral symmetry is reviewed. Topics discussed include the nucleon-nucleon force, few-body potentials, isospin violation, pion-deuteron scattering, proton-neutron radiative capture,…

高能物理 - 唯象学 · 物理学 2009-10-30 U. van Kolck

The reaction $\gamma p \to \pi^0 \pi^0 p$ has been measured using the TAPS BaF$_2$ calorimeter at the tagged photon facility of the Mainz Microtron accelerator. Chiral perturbation theory (ChPT) predicts that close to threshold this channel…

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