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Related papers: pi-pi scattering in a QCD based model field theory

200 papers

An effective residual interaction for a meson-meson system is computed in lattice QCD. We describe the theoretical framework and present its application to the I=2 channel S-wave interaction of the pi pi system. Scattering phase shifts are…

High Energy Physics - Lattice · Physics 2009-10-31 H. R. Fiebig , K. Rabitsch , H. Markum , A. Mihaly

The I=2 pipi scattering length is calculated in fully-dynamical lattice QCD with domain-wall valence quarks on the asqtad-improved coarse MILC configurations (with fourth-rooted staggered sea quarks) at four light-quark masses. Two- and…

High Energy Physics - Lattice · Physics 2008-11-26 Silas R. Beane , Thomas C. Luu , Kostas Orginos , Assumpta Parreno , Martin J. Savage , Aaron Torok , Andre Walker-Loud

We simulate K pi scattering in s-wave and p-wave for both isospins I=1/2, 3/2 using quark-antiquark and meson-meson interpolating fields. We extract the elastic phase shifts delta at several values of the K-pi relative momenta. The…

High Energy Physics - Lattice · Physics 2013-05-20 C. B. Lang , Luka Leskovec , Daniel Mohler , Sasa Prelovsek

We develop a generalized version of heavy-baryon chiral perturbation theory to describe pion-nucleon scattering in a kinematic domain that extends continuously from threshold to the delta-isobar peak. The $P$-wave phase shifts are used to…

High Energy Physics - Phenomenology · Physics 2010-05-25 Bingwei Long , U. van Kolck

The reasons why a considerable effort is made to resolve the low energy structure of QCD are discussed. The effective field theory used for this purpose is illustrated with the recent progress made in the predictions for pipi scattering and…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Leutwyler

The scalar-isoscalar, scalar-isotensor and vector-isovector pi-pi amplitudes have been fitted simultaneously to experimental data and to to Roy's equations. Resulting pi-pi phase shifts up to 1600 MeV and near threshold observables have…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kaminski , L. Lesniak , B. Loiseau

We present an effective field theory model for QCD at finite temperature with quarks. We discuss the mean field theory, the fixing of parameters, and a prediction for the curvature of the critical line. We proceed to write down a pionic…

High Energy Physics - Phenomenology · Physics 2018-03-14 Sourendu Gupta , Rishi Sharma

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

The momentum-space bosonization method of a Nambu and Jona-Lasinio type model with vector and axial-vector mesons is applied to $\pi\pi$ scattering. Unlike the case in earlier published papers, we obtain the $\pi\pi$ scattering amplitude…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Bernard , A. H. Blin , B. Hiller , Y. P. Ivanov , A. A. Osipov , Ulf-G. Meißner

The scattering of $\gamma \pi \to \pi \pi$ is studied using the axial anomaly, elastic unitarity, analyticity and crossing symmetry. Using the technique to derive the Roy's equation, an integral equation for the P-wave amplitude is obtained…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tran N. Truong

Resonances play an important role in Standard Model phenomenology. In particular, hadronic resonances feature in $B$ and $D$ decays, which can be central for New Physics searches. Lattice QCD simulations combined with the finite-volume…

High Energy Physics - Lattice · Physics 2022-12-01 Nelson Pitanga Lachini , Peter Boyle , Felix Erben , Michael Marshall , Antonin Portelli

Following up on recent work by Caron-Huot et al. we consider a generalization of the old Lovelace-Shapiro model as a toy model for Pi-Pi scattering satisfying (most of) the properties expected to hold in ('t Hooft's) large-N limit of…

High Energy Physics - Theory · Physics 2017-05-24 Gabriele Veneziano , Shimon Yankielowicz , Enrico Onofri

The underlying mixing of quark components of scalar mesons is probed in $\pi K$ scattering within a generalized linear sigma model that contains two scalar meson nonets and two pseudoscalar meson nonets (a quark-antiquark and a four-quark).…

High Energy Physics - Phenomenology · Physics 2016-01-20 Amir H. Fariborz , Esmaiel Pourjafarabadi , Soodeh Zarepour , S. Mohammad Zebarjad

Usually the simulation of scattering processes in lattice QCD is carried out at unphysically high values of the quark masses. Hence, a method to extrapolate data obtained in lattice calculations to physical masses is needed to allow for…

High Energy Physics - Phenomenology · Physics 2019-02-28 Malwin Niehus , Martin Hoferichter , Bastian Kubis

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul J. Ellis , Hua-Bin Tang

To study cross sections and polarization asymmetries for the processes $e p \to e n \pi^+$ and $e p \to e p \pi^0$ in the backward region, we develop a flexible phenomenological model for nucleon-to-pion transition distribution amplitudes…

High Energy Physics - Phenomenology · Physics 2025-11-03 Bernard Pire , Kirill Semenov-Tian-Shansky , Paweł Sznajder , Lech Szymanowski

We develop a relativistic covariant and unitary description of the pion-nucleon interaction in a hadron-exchange model. The model is based on the solution of a dimensionally reduced (quasipotential) Bethe-Salpeter equation for the…

Nuclear Theory · Physics 2009-11-06 V. Pascalutsa , J. A. Tjon

The first part of this report reviews recent developments at the interface between lattice work on QCD with light dynamical quarks, effective field theory and low energy precision experiments. Then I discuss how dispersion theory can be…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Leutwyler

An effective field theory describing the QCD diffraction scattering is constructed. The constituent quarks interacting with multiperi- pheral gluons and Goldstone bosons are described by impact- parameter two-dimensional sigma models for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Soo-Jong REY

The vector and axial pion-photon transition distribution amplitudes are analyzed in the Spectral Quark Model. We proceed by the evaluation of double distributions through the use of a manifestly covariant calculation based on the alpha…

High Energy Physics - Phenomenology · Physics 2010-10-27 Wojciech Broniowski , Enrique Ruiz Arriola