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Related papers: Study of Light Scalars, the learned Lessons

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We present a detailed study of a linear sigma model containing one chiral nonet transforming under U(1)$_A$ as a quark-antiquark composite and another chiral nonet transforming as a diquark-anti diquark composite (or, equivalently from a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amir H. Fariborz , Renata Jora , Joseph Schechter

In this letter we study the photoproduction of scalar mesons in the intermediate energies considering distinct mixing scenarios in the description of meson physical states. The differential and integrated total cross section are computed…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. L. L. da Silva , M. V. T. Machado

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

Isospin symmetry breaking is discussed as a tool for studying the nature and production mechanisms of light scalar mesons. We are concerned with isospin breaking effects with an amplitude $\sim\sqrt{m_d-m_u}$ (instead of the usual $\sim…

High Energy Physics - Phenomenology · Physics 2019-06-03 N. N. Achasov , G. N. Shestakov

Despite the apparent simplicity of meson spectroscopy, light scalar mesons cannot be accommodated in the usual $q\bar q$ structure. We study the description of the scalar mesons below 2 GeV in terms of the mixing of a chiral nonet of…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Vijande , A. Valcarce , F. Fernandez , B. Silvestre-Brac

Pion pion scattering is studied in a generalized linear sigma model which contains two scalar nonets (one of quark-antiquark type and the other of diquark-antidiquark type) and two corresponding pseudoscalar nonets. An interesting feature…

High Energy Physics - Phenomenology · Physics 2015-05-28 Amir H. Fariborz , Renata Jora , Joseph Schechter , M. Naeem Shahid

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…

High Energy Physics - Phenomenology · Physics 2009-07-22 D. Cabrera , D. Fernandez-Fraile , A. Gomez Nicola

Both scalar and vector light resonances can be generated from the unitarization of one-loop chiral perturbation theory. This amounts to using in a dispersion relation the chiral expansion, which incorporates the correct QCD quark mass…

High Energy Physics - Phenomenology · Physics 2007-12-19 J. R. Pelaez , C. Hanhart , G. Rios

The fermion and meson sectors of the quark-level SU(2) linear sigma model are dynamically generated from a meson-quark Lagrangian, with the quark (q) and meson ($\sigma,\pi$) fields all treated as elementary, having neither bare masses nor…

High Energy Physics - Phenomenology · Physics 2008-11-26 R Delbourgo , M D Scadron

We calculate the light pseudoscalar decay constants, f_pi and f_K, and their ratio using domain wall valence quarks and 2+1 flavors of dynamical staggered quarks. Use of the MILC gauge configurations allows us to simulate at several sea…

High Energy Physics - Lattice · Physics 2010-01-21 Christopher Aubin , Jack Laiho , Ruth S. Van de Water

We study the properties of the light pseudoscalar mesons in a three flavor chiral quark model with nonlocal separable interactions. We concentrate on the evaluation of meson masses and decay constants, considering both the cases of Gaussian…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Scarpettini , D. Gomez Dumm , N. N. Scoccola

The features of the Resonance Chiral Theory (RChT) related to the description of the lightest scalar resonances, sigma, f0(980) and a0(980), are discussed. Major attention is paid to the fits of the invariant mass distributions in the…

High Energy Physics - Phenomenology · Physics 2010-03-30 S. Ivashyn , A. Korchin

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

In order to assess the relevance of chiral dynamics in the scalar sector we address two recent problems: radiative decay of the $\phi$, for which there are quite recent data from Frascati, and the modification of the $\sigma$ properties in…

Nuclear Theory · Physics 2011-02-09 E. Oset , L. Roca , M. J. Vicente Vacas , J. Palomar

This report attempts to summarize the most interesting (and hopefully important) results leading up to and including those presented at the recent Symposium sponsored jointly by the Institute of Quantum Science at Nihon University and KEK.…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. F. Tuan

The \sigma(600) and \kappa(900), observed in the phase shift analyses, satisfy rather well the mass and width relation predicted by the SU(3)LsM and the SU(3)LsM with the vector and axial-vector meson nonets, and deserve to be the members…

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

We study the dynamical generation of resonances in isospin singlet channels with mixing between two- and four-quark states. To this end we generalise a Bethe-Salpeter approach to four-quark states employed previously \cite{Heupel:2012ua} to…

High Energy Physics - Phenomenology · Physics 2020-09-18 Nico Santowsky , Gernot Eichmann , Christian S. Fischer , Paul C. Wallbott , Richard Williams

We study the decay $\phi\to\gamma K^+K^-$ taking into account the scalar mesons production $\phi\to\gamma(f_0+a_0) \to\gamma K^+K^-$ and the final state radiation. We note that the relative sign between the final state radiation amplitude…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. N. Achasov , V. V. Gubin

We study the possibility that the light scalar mesons are (qbar qbar q q) states rather than (qbar q). We perform a lattice QCD calculation of pseudoscalar meson scattering amplitudes, ignoring quark loops and quark annihilation, and find…

High Energy Physics - Lattice · Physics 2008-11-26 Mark Alford , R. L. Jaffe

Two photon decays of scalar mesons f_0(980), a_0(980), \sigma(600) in the quark Nambu - Jona - Lasinio (NJL) model are calculated. The contributions of the meson loops are taken into account along with the quark loops (Hartree - Fock…

High Energy Physics - Phenomenology · Physics 2008-09-11 Yu. L. Kalinovsky , M. K. Volkov