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We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral invariant term which allows for an axial coupling constant greater than unity. We also…

核理论 · 物理学 2009-10-28 G. Carter , P. J. Ellis , S. Rudaz

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,…

高能物理 - 唯象学 · 物理学 2007-05-23 Dinko Pocanic

We use a nonpertubative approach which combines coupled channel Lippmann Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangian. By means of one parameter, a cut off in the momentum of the loop…

核理论 · 物理学 2008-02-03 J. A. Oller , E. Oset

The pion-pion scattering amplitudes provided by second-order chiral perturbation theory are confronted with known rigorous constraints derived from the axioms of quantum field theory. We mainly test constraints restricting the…

高能物理 - 唯象学 · 物理学 2009-10-28 B. Ananthanarayan , D. Toublan , G. Wanders

We study in various chiral models the pion charge radius, $\pi_{e3}$ form factor ratio, $\pi^\circ \to \gamma \gamma$ amplitude, charge pion polarizabilities, $\gamma\gamma \to \pi^\circ \pi^\circ$ amplitude at low energies and the $\pi\pi$…

高能物理 - 唯象学 · 物理学 2014-11-17 M. D. Scadron

We present a study of the $\pi\pi$ scattering amplitude in the $\sigma$ and $\rho$ channels at finite temperature and nuclear density within a chiral unitary framework. Meson resonances are dynamically generated in our approach, which…

高能物理 - 唯象学 · 物理学 2009-07-22 D. Cabrera , D. Fernandez-Fraile , A. Gomez Nicola

First it is shown that the tree amplitude for pion pion scattering in the minimal linear sigma model has an exact expression which is proportional to a geometric series in the quantity (s-$m_\pi^2$)/($m_B^2-m_\pi^2$), where $m_B$ is the…

高能物理 - 唯象学 · 物理学 2009-12-10 Deirdre Black , Amir H. Fariborz , Renata Jora , Nae Woong Park , Joseph Schechter , M. Naeem Shahid

Low lying scalar resonances emerge as a necessary part to adjust chiral perturbation theory to experimental data once unitarity constraint is taken into consideration. I review recent progress made in this direction in a model independent…

高能物理 - 唯象学 · 物理学 2009-05-06 Han-qing Zheng

The divergent part of the generating functional of the Resonance Chiral Theory is evaluated up to one loop when one multiplet of scalar an pseudoscalar resonances are included and interaction terms which couple up to two resonances are…

高能物理 - 唯象学 · 物理学 2011-07-19 I. Rosell

We consider in details the dual models for the Goldstone mesons (pions) scattering in the presence of the explicit chiral symmetry breaking caused by non-zero current quark mass. New method of incorporation of the quark masses into the dual…

高能物理 - 唯象学 · 物理学 2007-05-23 M. V. Polyakov , G. Weidl

A brief discussion of the elastic pion-pion scattering amplitude to two loops in chiral perturbation theory is given. Some technical details of the evaluation of two-loop diagrams are addressed, and results relevant for the pionium decay…

高能物理 - 唯象学 · 物理学 2007-05-23 M. E. Sainio

The next-to-leading order chiral pion-nucleon Lagrangian contains seven finite low-energy constants. Two can be fixed from the nucleon anomalous magnetic moments and another one from the quark mass contribution to the neutron-proton mass…

高能物理 - 唯象学 · 物理学 2016-09-06 V. Bernard , N. Kaiser , Ulf-G. Meißner

We augment the chiral Lagrangian by an isosinglet scalar and compute the one-loop radiative corrections to the pion mass and decay constant, as well as the scalar mass. The calculations are carried out for different patterns of chiral…

高能物理 - 唯象学 · 物理学 2017-02-15 Martin Hansen , Kasper Langaeble , Francesco Sannino

The Chiral Confining Lagrangian, based on the chiral theory with quark degrees of freedom, is used to study the spectroscopy of scalar mesons. The formalism does not contain arbitrary fitting parameters and takes into account infinite…

高能物理 - 唯象学 · 物理学 2020-06-24 M. S. Lukashov , Yu. A. Simonov

Dark pions are promising dark matter candidates, yet most analyses rely on leading-order (LO) chiral perturbation theory (ChPT). Motivated by the fact that, even for QCD pi-pi scattering, LO ChPT near threshold underestimates the isoscalar…

高能物理 - 唯象学 · 物理学 2026-03-19 Yuki Watanabe

We have recently completed the one loop calculation of meson-meson scattering within Chiral Perturbation Theory. Once unitarized, these amplitudes provide simultaneously a remarkable description of the resonance region up to 1.2 GeV as well…

高能物理 - 唯象学 · 物理学 2009-11-10 J. R. Pelaez

We use a nonperturbative approach which combines coupled channel Lippmann Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangians. By means of one parameter, a cut off in the momentum of the loop…

高能物理 - 唯象学 · 物理学 2008-11-26 J. A. Oller , E. Oset

In these notes we present an introductory review on various topics about low energy pion physics (some kaon physics is discussed as well). Among these, we include the uses of analyticity and unitarity to describe partial wave amplitudes…

高能物理 - 唯象学 · 物理学 2007-05-23 F. J. Yndurain

We report on a novel scheme based on the chiral Lagrangian. It is used to analyze pion-nucleon scattering, pion photoproduction, and nucleon Compton scattering. Subthreshold partial-wave amplitudes are calculated in chiral perturbation…

高能物理 - 唯象学 · 物理学 2015-05-20 A. M. Gasparyan , M. F. M. Lutz

We report on our recent progress in the generation of resonant behavior in unitarized meson-meson scattering amplitudes obtained from Chiral Perturbation Theory. These amplitudes provide simultaneously a remarkable description of the…

高能物理 - 唯象学 · 物理学 2009-11-10 J. R. Pelaez , A. Gomez Nicola
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