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The Compton scattering on a charged pion and the process \gamma\gamma \to \pi^0\pi^0 are studied using the dispersion relations. Unknown parameters of the S-wave \pi\pi interaction, represented as a board Breit-Wignar resonance, and a sum…

核理论 · 物理学 2011-07-19 L. V. Fil'kov , V. L. Kashevarov

We match the known chiral perturbation theory representation of the pi pi scattering amplitude to two loops with a phenomenological description that relies on the Roy equations. On this basis, the corrections to Weinberg's low energy…

高能物理 - 唯象学 · 物理学 2011-05-05 G. Colangelo , J. Gasser , H. Leutwyler

Low energy scattering and bound state properties of the \pi N, \pi\pi and K\pi systems are studied as coupled channel problems using inversion potentials of phase shift data. In a first step we apply the potential model to explain recent…

核理论 · 物理学 2016-09-08 M. Sander , H. V. von Geramb

The S wave pion deuteron scattering length is presented at NLO in the Effective Field Theory formulation of the two nucleon system with perturbative pions. At this order, this observable is determined by the iso-scalar S wave pion nucleon…

核理论 · 物理学 2007-05-23 Bugra Borasoy , Harald W. Griesshammer

Recent experimental data on tau decays are used to reconstruct the difference in hadronic spectral densities with vector and axial-vector quantum numbers. The saturation of Das-Mathur-Okubo and Weinberg sum rules is studied. Two methods of…

高能物理 - 唯象学 · 物理学 2011-07-19 V. Kartvelishvili , M. Margvelashvili , G. Shaw

Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the Luescher technique. In this letter, as a trial of the method, we report on the…

高能物理 - 唯象学 · 物理学 2011-05-12 Jozef J. Dudek , Robert G. Edwards , Michael J. Peardon , David G. Richards , Christopher E. Thomas

The goal of the DIRAC experiment at CERN is to measure with high precision the lifetime of the $\pi^+\pi^-$ atom ($A_{2\pi}$), which is of order $3\times10^{-15}$ s, and thus to determine the s-wave $\pi\pi$-scattering lengths difference…

高能物理 - 实验 · 物理学 2012-08-27 The DIRAC collaboration

Pion pion scattering is studied in a generalized linear sigma model which contains two scalar nonets (one of quark-antiquark type and the other of diquark-antidiquark type) and two corresponding pseudoscalar nonets. An interesting feature…

高能物理 - 唯象学 · 物理学 2015-05-28 Amir H. Fariborz , Renata Jora , Joseph Schechter , M. Naeem Shahid

The COMPASS experiment at CERN has collected a large data sample of 50 million diffractively produced $\pi^-\pi^+\pi^-$ events using a $190\,$GeV$/c$ negatively charged hadron beam. The partial-wave analysis (PWA) of these high-precision…

高能物理 - 实验 · 物理学 2017-11-30 Fabian Krinner

The pion mass difference generates a pronounced cusp in the pi0 pi0 invariant mass distribution of K+ --> pi0 pi0 pi+ decays. As originally pointed out by Cabibbo, an accurate measurement of the cusp may allow one to pin down the S-wave…

高能物理 - 唯象学 · 物理学 2014-11-20 Bastian Kubis

We determine the mass and width of the $\Delta^{++}\ (\Delta^0)$ resonance from data on $\pi^+ p\ (\pi^- p)$ scattering both, in the pole of the $S$-matrix and conventional Breit-Wigner approaches to the scattering amplitude. We provide a…

高能物理 - 唯象学 · 物理学 2009-09-25 A. Bernicha , G. Lopez Castro , J. Pestieau

The $I=2$ $\pi\pi$ elastic $s$-wave scattering phase shift is measured by lattice QCD with $N_f=3$ flavors of the Asqtad-improved staggered fermions. The lattice-calculated energy-eigenvalues of $\pi\pi$ systems at one center of mass frame…

高能物理 - 格点 · 物理学 2024-09-23 Ziwen Fu , Jun Wang

The measurement of the pion-nucleon scattering lengths constitutes a high-precision test of the methods of Chiral Pertubation Theory, which is the low-energy approach of QCD. The pion-nucleon s-wave scattering lengths are related to the…

高能物理 - 实验 · 物理学 2007-05-23 D. Gotta

The hadronic properties of the pionium ion (Coulomb bound system of three charged pions) are estimated using the results for the positronium ion $P{s}^{-}$. It turns out that the hadronic shift of the ground state energy and the lifetime of…

核理论 · 物理学 2016-09-08 G. Rasche , A. Gashi

Pionium lifetime corrections to the nonrelativistic formula are calculated in the framework of the quasipotential-constraint theory approach. The calculation extends an earlier evaluation, made in the scheme of standard chiral perturbation…

高能物理 - 唯象学 · 物理学 2009-10-31 H. Sazdjian

The pionium lifetime is calculated in the framework of the quasipotential-constraint theory approach, including the sizable electromagnetic corrections. The framework of generalized chiral perturbation theory allows then an analysis of the…

高能物理 - 唯象学 · 物理学 2007-05-23 H. Sazdjian

An explicitly crossing-symmetric decomposition of the pion-pion scattering amplitudes into low- and high-energy components is established. The high-energy components are entirely determined by absorptive parts at high energies. With the…

高能物理 - 唯象学 · 物理学 2007-05-23 G. Wanders

We study the properties of the Resonance-Spectrum Expansion near threshold in I=0 S-wave pion-pion scattering. The real part of the amplitude, when extrapolated from above threshold to below threshold, is found to vanish at a positive…

高能物理 - 唯象学 · 物理学 2007-05-23 Eef van Beveren , George Rupp

We present a determination of the isospin-1/2 elastic $\pi K$ scattering amplitudes in S and P partial waves using lattice Quantum Chromodynamics. The amplitudes, constrained for a large number of real-valued energy points, are obtained as…

高能物理 - 格点 · 物理学 2019-07-31 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

$\pi\pi$ scattering length in the I=2 channel is calculated within quenched approximation using improved gauge and improved Wilson fermion actions on anisotropic lattices. The results are extrapolated towards the chiral, infinite volume and…

高能物理 - 格点 · 物理学 2009-11-10 Xining Du , Guangwei Meng , Chuan Miao , Chuan Liu