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A new evaluation of the universal $\pi\pi$ scattering length relation is used to extract the $\pi\pi$ $s$-wave scattering lengths from threshold pion production data. Previous work has shown that the chiral perturbation series relating…

高能物理 - 唯象学 · 物理学 2009-10-30 M. G. Olsson

A model independent expression for the electromagnetic corrections to a phenomenological hadronic pion-nucleon scattering length, extracted from pionic hydrogen, is obtained. In a non-relativistic approach and using an extended charge…

高能物理 - 唯象学 · 物理学 2009-02-10 T. E. O. Ericson , B. Loiseau , S. Wycech

We evaluate the isospin breaking corrections to the scattering amplitude \pi^- K^+ -> \pi^- K^+ at threshold in the framework of chiral perturbation theory. This channel is of particular interest for the strong 2S-2P energy level shift in…

高能物理 - 唯象学 · 物理学 2009-11-07 Bastian Kubis , Ulf-G. Meißner

We discuss the possibility to extract the neutron-neutron scattering length a_{nn} from experimental spectra on the reaction gamma d --> pi^+ nn. The transition operator is calculated to high accuracy from chiral perturbation theory. We…

核理论 · 物理学 2008-11-26 V. Lensky , V. Baru , E. Epelbaum , C. Hanhart , J. Haidenbauer , A. Kudryavtsev , Ulf-G. Meißner

A general expression for the $\pi -N$ and $\pi-\Delta $ scattering lengths is derived in the framework of a microscopic calculation. Annihilation, negative energy wave-functions and spontaneous chiral symmetry are included consistently. The…

核理论 · 物理学 2009-11-07 Pedro Bicudo , Manuel Faria , Gonçalo Marques , J. Emilio Ribeiro

We construct the complete effective chiral pion-nucleon Lagrangian to third order in small momenta based on relativistic chiral perturbation theory. We then perform the so-called heavy baryon limit and construct all terms…

高能物理 - 唯象学 · 物理学 2009-10-31 Nadia Fettes , Ulf-G. Meißner , Sven Steininger

The strong interaction shift $\epsilon$ and broadening {\Gamma} in pionic deuterium have been determined in a high statistics study of the {\pi}D(3p - 1s) X-ray transition using a high-resolution crystal spectrometer. The pionic deuterium…

We investigate the dispersive contribution by radiative processes such as (pi- proton to neutron gamma) and (pi- proton to Delta gamma) to the pion-nucleon scattering lengths of charged pions in the heavy baryon limit. They give a large…

高能物理 - 唯象学 · 物理学 2007-05-23 T. E. O. Ericson , A. N. Ivanov

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

We discuss the electromagnetic corrections to the pion-nucleon scattering lengths generated by minimal e. m. coupling from a knowledge of the low energy expansion of the pion-nucleon elastic scattering amplitude as well as from the nucleon…

高能物理 - 唯象学 · 物理学 2007-05-23 T. E. O. Ericson

We present an extraction of the pion-nucleon ($\pi N$) scattering lengths from low-energy $\pi N$ scattering, by fitting a representation based on Roy-Steiner equations to the low-energy data base. We show that the resulting values confirm…

高能物理 - 唯象学 · 物理学 2018-01-17 Jacobo Ruiz de Elvira , Martin Hoferichter , Bastian Kubis , Ulf-G. Meißner

We calculate the $T$-matrices of elastic pion-nucleon ($\pi N$) scattering up to fourth order in SU(3) heavy baryon chiral perturbation theory. The pertinent low-energy constants are determined by fitting to $\pi N$ phase shifts below 200…

核理论 · 物理学 2020-12-03 Bo-Lin Huang

We study pion--nucleon scattering with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars. The scattering amplitude is evaluated to one-loop $Q^3$ order, where $Q$ is a generic small momentum, using a new approach which is…

高能物理 - 唯象学 · 物理学 2008-11-26 Paul J. Ellis , Hua-Bin Tang

The elastic pi-N scattering amplitude in the isospin limit is calculated in the framework of heavy baryon chiral perturbation theory, up to the third order. Threshold parameters like scattering lengths, volumes, effective ranges, etc. are…

高能物理 - 唯象学 · 物理学 2011-09-13 Martin Mojzis

We investigate isospin breaking in low-energy pion-nucleon scattering in the framework of chiral perturbation theory. This work extends the systematic analysis of [1] to the energy range above threshold. Various relations, which identically…

高能物理 - 唯象学 · 物理学 2009-10-31 Nadia Fettes , Ulf-G. Meißner

We calculate the s-wave pion-pion scattering length in the isospin I=2 channel in lattice QCD for pion masses ranging from 270 Mev to 485 Mev using two flavors of maximally twisted mass fermions at a lattice spacing of 0.086 fm.…

高能物理 - 格点 · 物理学 2010-11-26 Xu Feng , Karl Jansen , Dru B. Renner

We present a fully perturbative calculation of the quartet-channel proton--deuteron scattering length up to next-to-next-to-leading order in pionless effective field theory. We use a framework that consistently extracts the Coulomb-modified…

核理论 · 物理学 2014-10-03 Sebastian König , H. -W. Hammer

I summarize the history of theoretical predictions of, and experimental attempts to measure, pion-pion (S-wave) scattering lengths. Recent measurements at CERN confirm Weinberg's 1966 prediction of the I=2 scattering length and Basdevant…

高能物理 - 唯象学 · 物理学 2008-01-07 Jack L. Uretsky

The lifetime measurement of pi+pi- atoms (A2pi) with 10% precision provides in a model independent way the difference between the S-wave pion-pion scattering lengths for isospin 0 and 2, |a0 -a2|, with 5% accuracy. The scattering lengths a0…

高能物理 - 实验 · 物理学 2019-08-14 V. Yazkov

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