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Dynamical chiral symmetry breaking (DCSB) is one of the keystones of low-energy hadronic phenomena. Dyson-Schwinger equations provide a model-independent quark-level understanding and correlate that with the behaviour of the pion's…

Nuclear Theory · Physics 2010-03-04 C. D. Roberts

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

In this work, we construct the chiral Lagrangian for a light spin-1 boson $X$ possessing both vectorial and axial couplings to the light Standard Model quarks $u, d, s$. We then use it in order to describe the tree-level, model-independent…

High Energy Physics - Phenomenology · Physics 2024-01-11 Luca Di Luzio , Gabriele Levati , Paride Paradisi , Xavier Ponce Díaz

We present a determination of the isovector, $P$-wave $\pi\pi$ scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using $m_\pi =236$ MeV. The finite volume spectra are…

High Energy Physics - Phenomenology · Physics 2016-04-12 Daniel R. Bolton , Raul A. Briceno , David J. Wilson

In this work we study the $\pi N$ scattering process within the Baryon Chiral Perturbation Theory framework in the covariant scheme of Extended-On-Mass-Shell (EOMS). We compare the description obtained in this scheme with the previously…

High Energy Physics - Phenomenology · Physics 2015-06-03 J. M. Alarcon , J. Martin Camalich , J. A. Oller

We report the chiral quark model approach for the study of baryon resonances in meson photoproduction and meson-nucleon scattering processes. Focussing on the $\pi N$ and $K N$ scatterings, we show that the cross sections near threshold can…

Nuclear Theory · Physics 2015-05-20 Qiang Zhao

The s-wave meson-baryon interaction is studied using the lowest-order chiral Lagrangian in a unitary coupled-channels Bethe-Salpeter equation. In the strangeness $S=-1$ sector the low-energy $K^- p$ dynamics leads to the dynamical…

Nuclear Theory · Physics 2017-08-23 A. Ramos , A. Parreno , J. C. Nacher , E. Oset , C. Bennhold

I discuss recent progress in our understanding of the pi pi scattering amplitude at low energy thanks to the combined use of chiral perturbation theory and dispersion relations. I also comment on the criticism raised by Pelaez and Yndurain…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gilberto Colangelo

Electromagnetic interactions are incorporated into Heavy Hadron Chiral Perturbation Theory. Short and long distance magnetic moment contributions to the chiral Lagrangian are identified, and $M1$ radiative decays of heavy vector mesons and…

High Energy Physics - Phenomenology · Physics 2009-09-11 Peter Cho , Howard Georgi

We study the light vector and axial-vector mesons. According to the hadrogenesis conjecture the nature of the two types of states is distinct. The axial-vector mesons are generated dynamically by coupled-channel interactions based on the…

Nuclear Theory · Physics 2008-11-26 M. F. M. Lutz , S. Leupold

In this paper, we present the full Lagrangian of mesons (pseudoscalars, vectors and axial-vectors) to $O(p^4)$ by using the explicit global chiral symmetry and hidden local symmetry in the chiral limit. In this approach, we see that there…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yong-Liang Ma , Qing Wang , Yue-Liang Wu

Infra-red properties of the triangle anomaly and the ``anomaly pole'' are elaborated and applied to the study of high-energy scattering in QCD, when the gauge symmetry is partially broken to SU(2). It is shown that the chiral flavor anomaly…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alan R. White

The $\pi\pi$ scattering amplitude with regular analytical properties in the $s$ complex plane has been constructed. It describes simultaneously the data on the $\pi\pi$ scattering, $\phi\to\pi^0\pi^0\gamma$ decay and $\pi\pi\to K\bar K$…

High Energy Physics - Phenomenology · Physics 2010-11-22 N. N. Achasov , A. V. Kiselev

The $SU(3)$ chiral effective lagrangian at next-to-leading order is applied to the S-wave meson-baryon interaction in the energy range around the $\eta N$ threshold. Potentials are derived from this lagrangian and used in a coupled channel…

Nuclear Theory · Physics 2009-10-28 N. Kaiser , P. B. Siegel , W. Weise

We make a theoretical study of the $\J$ decays into $\omega\pi\pi$, $\phi\pi\pi$, $\omega K \bar{K}$ and $\phi K\bar{K}$ using the techniques of the chiral unitary approach stressing the important role of the scalar resonances dynamically…

High Energy Physics - Phenomenology · Physics 2009-11-10 L. Roca , J. E. Palomar , E. Oset , H. C. Chiang

We extend our previous formulation of low-energy QCD in terms of an effective lagrangian containing operators of dimensionality $d\le 6$ constructed with pseudoscalars and quark fields, describing physics below the scale of chiral symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Andrianov , D. Espriu

The master formula approach to chiral symmetry breaking is used to analyze the phase shifts for $\pi\pi$ scattering in the elastic region. The results are in excellent agreement with the data for the phase shifts up to the K-K bar…

High Energy Physics - Phenomenology · Physics 2009-10-28 James V. Steele , Hidenaga Yamagishi , Ismail Zahed

We investigate the numerical values of the low-energy constants in the chiral effective Lagrangian for the interactions between the charmed mesons and the lightest pseudoscalar mesons, the Goldstone bosons of the spontaneous breaking of…

High Energy Physics - Phenomenology · Physics 2016-12-07 Meng-Lin Du , Feng-Kun Guo , Ulf-G. Meißner , De-Liang Yao

We have performed a systematical calculation of the pion ($\pi, K, \eta$) and heavy pseudoscalar meson S-wave scattering lengths up to ${\cal O}(p^3)$ in the chiral perturbation theory in the heavy quark symmetry limit. With the three…

High Energy Physics - Phenomenology · Physics 2009-07-30 Yan-Rui Liu , Xiang Liu , Shi-Lin Zhu

A non-perturbative method which combines constraints from chiral symmetry breaking and coupled channel unitarity is used to describe the meson-meson interaction up to about 1.2 GeV. The approach uses the O(p^2) and O(p^4) chiral…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. A. Oller , E. Oset , J. R. Pelaez
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