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Related papers: Thermal Pions

200 papers

We consider two methods to find the effective parameters of the pion traversing a nuclear medium. One is the first order chiral perturbation theoretic evaluation of the pion pole contribution to the two-point function of the axial-vector…

Nuclear Theory · Physics 2009-11-10 S. Mallik , Sourav Sarkar

We point out that, in analogy with spin waves in antiferromagnets, all parameters describing the real-time propagation of soft pions at temperatures below the QCD chiral phase transition can be expressed in terms of static correlators. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Son , M. A. Stephanov

The invariant amplitudes for pion electroproduction on the nucleon are evaluated by dispersion relations at constant t with MAID as input for the imaginary parts of these amplitudes. In the threshold region these amplitudes are confronted…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Pasquini , D. Drechsel , L. Tiator

We discuss the thermal behaviour of the pion vector form factors and calculate them in one-loop Chiral Perturbation Theory. The perturbative result is used to analyze the $T$-dependent electromagnetic pion charge radius, obtaining a rough…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gomez Nicola , F. J. LLanes-Estrada , J. R. Pelaez

We investigate the charged-neutral pion self-energy difference at finite temperature. Within Chiral Perturbation Theory we extend previous analysis in the chiral and soft pion limits. Our analysis with physical masses leads to additional…

High Energy Physics - Phenomenology · Physics 2014-06-18 A. Gomez Nicola , R. Torres Andres

We argue that in QCD near the chiral limit, at all temperatures below the chiral phase transition, the dispersion relation of soft pions can be expressed entirely in terms of three temperature-dependent quantities: the pion screening mass,…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Son , M. A. Stephanov

Within the Matsubara formalism we derive expressions for the pion self-energy and the two-pion propagator in a hot pion gas. These quantities are used to selfconsistently calculate the in-medium $\pi\pi$ amplitude beyond the quasiparticle…

Nuclear Theory · Physics 2016-09-08 R. Rapp , J. Wambach

Recent attempts to determine the pion polarizability by dispersion relations yield values that disagree with the predictions of chiral perturbation theory. These dispersion relations are based on specific forms for the absorptive part of…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Pasquini , D. Drechsel , S. Scherer

We consider chiral perturbation theory for SU(2) at finite temperature $T$ in a constant magnetic background $B$. We compute the thermal mass of the pions and the pion decay constant to leading order in chiral perturbation theory in the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jens O. Andersen

We compute the axion-pion scattering $a \pi \to \pi \pi$, relevant for the axion thermalization rate in the early universe, within unitarized NLO chiral perturbation theory. The latter extends the range of validity of the chiral expansion…

High Energy Physics - Phenomenology · Physics 2023-08-21 Luca Di Luzio , Jorge Martin Camalich , Guido Martinelli , José Antonio Oller , Gioacchino Piazza

We review our recent work on thermal meson properties within the Chiral Perturbation Theory framework. We will focus on the pion electromagnetic form factor, stressing its importance for Relativistic Heavy Ion Collisions. We obtain…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Gomez Nicola , F. J. LLanes-Estrada , J. R. Pelaez

Recent developments in low energy pion physics are reviewed, emphasizing the strength of dispersion theory in this context. As an illustration of the method, I discuss some consequences of the forward dispersion relation obeyed by the…

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

We give predictions for the partial wave amplitudes of pion photoproduction near threshold by means of dispersion relations at fixed t. The free parameters of this approach are determined by a fit to experimental data in the energy range…

Nuclear Theory · Physics 2016-09-08 O. Hanstein , D. Drechsel , L. Tiator

In this work we study the thermodynamic properties of the pion gas starting from the realistic elastic scattering phase-shifts obtained from Chiral Perturbation Theory and using the virial expansion. In particular we study the state…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. Dobado , J. R. Pelaez

By exploiting the fact that the chiral condensate is related to the derivative of the free-energy density with respect to the bare quark mass we calculate the temperature dependence of the condensate ratio $\ave{\bar qq}_T/\ave{\bar qq}_0$…

Nuclear Theory · Physics 2011-04-20 G. Bunatian , J. Wambach

We have developed a field theory formalism to calculate $in$-$medium$ properties of hadrons within a unified approach that exploits a single Lagrangian to describe simultaneously both matter background and meson fluctuations. In this paper…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hee-Jung Lee , Byung-Yoon Park , Mannque Rho , Vicente Vento

Recent attempts to determine the pion polarizability by dispersion relations yield values that disagree with the predictions of chiral perturbation theory. These dispersion relations are based on specific forms for the absorptive part of…

High Energy Physics - Phenomenology · Physics 2014-11-20 B. Pasquini , D. Drechsel , S. Scherer

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…

High Energy Physics - Phenomenology · Physics 2011-07-19 John F. Donoghue , Barry R. Holstein

Constraints on the parameters in the one- and two-loop pion-pion scattering amplitudes of standard chiral perturbation theory are obtained from explicitly crossing-symmetric sum rules. These constraints are based on a matching of the chiral…

High Energy Physics - Phenomenology · Physics 2009-08-27 G. Wanders

We examine a hot pion gas by including medium modifications of the two-body scattering amplitude as well as mean-field effects selfconsistently. In contrast to earlier calculations, the in-medium T-matrix is rather close to the free one…

Nuclear Theory · Physics 2009-10-22 R. Rapp , J. Wambach