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Interactions in three coupled channels: pi-pi, K-anti K and sigma-sigma have been investigated in a wide two-pion effective mass region from the pi-pi threshold up to 1600 MeV. Analytical structure of amplitudes in all channels has been…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert Kaminski , Leonard Lesniak , Benoit Loiseau

The pi pi scattering is studied in two-flavor chiral models with a finite pion mass to investigate the nature of the sigma meson which is observed as the lowest scalar-isoscalar resonance. We compare several models with different origins of…

High Energy Physics - Phenomenology · Physics 2010-11-22 Tetsuo Hyodo , Daisuke Jido , Teiji Kunihiro

In this work we construct the $\pi\pi$ scattering amplitude $T^0_0$ with regular analytical properties in the $s$ complex plane, which describes simultaneously the data on the $\pi\pi$ scattering, $\phi\to\pi^0\pi^0\gamma$ decay, and…

High Energy Physics - Phenomenology · Physics 2015-03-17 N. N. Achasov , A. V. Kiselev

A refined investigation on light flavor meson-baryon scatterings is performed using a dynamical coupled-channel approach, the J\"ulich-Bonn model, that respects unitartiy and analyticity constraints. The channel space of $\pi N$, $\pi…

Nuclear Theory · Physics 2022-12-07 Yu-Fei Wang , Deborah Rönchen , Ulf-G. Meißner , Yu Lu , Chao-Wei Shen , Jia-Jun Wu

In this work, the complete one loop calculation of meson-meson scattering amplitudes within U(3)\otimes U(3) chiral perturbation theory with explicit resonance states is carried out for the first time. Partial waves are unitarized from the…

High Energy Physics - Phenomenology · Physics 2015-03-19 Zhi-Hui Guo , J. A. Oller

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…

Nuclear Theory · Physics 2008-02-03 J. A. Oller , E. Oset

We study how the scalar mesons below 1 GeV are generated through the Oller-Oset-Pelaez version of the multichannel inverse amplitude method applied to the chiral perturbation theory. We find out that the f0(980) state is certainly generated…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Uehara

We discuss how the lightest scalars, in particular the broad sigma resonance, can be understood as unitarized (qbar q) states within a unitarized quark model (UQM). The bare (qbar q) scalars are strongly distorted by hadronic mass shifts,…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. A. Tornqvist , A. D. Polosa

The importance of $S$-matrix unitarity in realistic meson spectroscopy is reviewed, both its historical development and more recent applications. First the effects of imposing $S$-matrix unitarity on meson resonances is demonstrated in both…

High Energy Physics - Phenomenology · Physics 2021-06-10 Eef van Beveren , George Rupp

We examine flavor SU(3) breaking effects on meson-baryon scattering amplitudes in the chiral unitary model. It turns out that the SU(3) breaking, which appears in the leading quark mass term in the chiral expansion, can not explain the…

Nuclear Theory · Physics 2011-07-18 T. Hyodo , S. I. Nam , D. Jido , A. Hosaka

We formulate scattering in one dimension due to the coupled Schr\"{o}dinger equation in terms of the $S$ matrix, the unitarity of which leads to constraints on the scattering amplitudes. Levinson's theorem is seen to have the form $\eta(0)…

Quantum Physics · Physics 2014-11-18 K. A. Kiers , W. van Dijk

We present for the first time a determination of the energy dependence of the isoscalar $\pi\pi$ elastic scattering phase-shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed…

High Energy Physics - Phenomenology · Physics 2017-01-18 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

We study scalar, pseudoscalar, vector, and axial-vector mesons with non-strange and strange quantum numbers in the framework of a linear sigma model with global chiral $U(N_f)_L \times U(N_f)_R$ symmetry. We perform a global fit of meson…

High Energy Physics - Phenomenology · Physics 2015-03-20 Denis Parganlija , Peter Kovacs , Gyorgy Wolf , Francesco Giacosa , Dirk H. Rischke

Spectrum of masses of light pseudoscalar ($\pi, K, \eta, \eta'$) and vector ($\rho, K^*, \omega, \phi$) mesons can be explained on the base of the following assumptions: (1) analytical confinement (propagators of quarks and gluons are…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. V. Efimov

SU(3) gauge theories with increasing number of light fermions are the templates of strongly interacting sectors and studying their low-energy dynamics and spectrum is important, both for understanding the strong dynamics of QCD itself, but…

The Bethe-Salpeter equation restores exact elastic unitarity in the s- channel by summing up an infinite set of chiral loops. We use this equation to show how a chiral expansion can be undertaken by successive approximations to the…

Nuclear Theory · Physics 2009-10-31 Juan Nieves , Enrique Ruiz Arriola

The nonleptonic weak decays of charmed mesons into a scalar meson and a pseudoscalar meson are studied. The scalar mesons under consideration are $\sigma$ [or $f_0(600)$], $\kappa$, $f_0(980)$, $a_0(980)$ and $K^*_0(1430)$. A consistent…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hai-Yang Cheng

We briefly review the recent progresses in the new unitarization approach being developed by us. Especially we discuss the large $N_c$ $\pi\pi$ scatterings by making use of the partial wave $S$ matrix parametrization form. We find that the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Z. X. Sun , L. Y. Xiao , Z. G. Xiao , H. Q. Zheng , Z. Y. Zhou

The relation between scattering and production amplitudes are investigated, using a simple field theoretical model, from the general viewpoint of unitarity and the applicability of final state interaction(FSI-) theorem. The IA-method and…

High Energy Physics - Phenomenology · Physics 2009-10-30 Muneyuki Ishida , Shin Ishida , Taku Ishida

We develop a novel approach to chiral meson-baryon dynamics incorporating unitarity constraints and explicit resonance fields. It is based on the most general structure of any pion-nucleon partial wave amplitude neglecting the unphysical…

Nuclear Theory · Physics 2009-10-31 Ulf-G. Meißner , J. A. Oller
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