Masses and Widths of Light Scalar Mesons in Chiral Perturbation Theory

2008 ◽  
Vol 49 (2) ◽  
pp. 451-455
Author(s):  
Chen Xiao-Zhao ◽  
Li Xiao-Ya ◽  
Lü Xiao-Fu
2019 ◽  
Vol 199 ◽  
pp. 01023
Author(s):  
Wencheng Yan

The BESIII experiment has accumulated the world’s largest data samples of 1.3 billion J/ψ events and 0.45 billion ψ(3686) events, which provide a unique opportunity to investigate light meson decays. The η and η′ decays are sensitive tools for investigations of π − π and η − π interactions, symmetry breaking, and serve as a test of chiral perturbation theory. In recent years considerable results on η and η′ decays were achieved at the BESIII experiment. In this proceeding, we present the significant progresses on amplitude analyses of Dalitz decays η' → 3π,η' → ηππ, and radiative decay η' → γπ+π−, η' → γγπ0. Additionally, the $a_0^0\left( {980} \right) - {f_0}\left( {980} \right)$ mixing is an important probe to the nature of those two lightest scalar mesons. The first observation of $a_0^0\left( {980} \right) - {f_0}\left( {980} \right)$ mixing is also presented, which will help to improve the understanding of the nature of $a_0^0\left( {980} \right)$ and f0(980).


2022 ◽  
Vol 258 ◽  
pp. 08004
Author(s):  
Maarten Golterman ◽  
Yigal Shamir

We review dilaton chiral perturbation theory (dChPT), the effective low-energy theory for the light sector of near-conformal, confining theories. dChPT provides a systematic expansion in both the fermion mass and the distance to the conformal window. It accounts for the pions and the light scalar, the approximate Nambu–Goldstone bosons for chiral and scale symmetry, respectively. A unique feature of dChPT is the existence of a large-mass regime in which the theory exhibits approximate hyperscaling, while the expansion nevertheless remains systematic. We discuss applications to lattice data, presenting successes as well as directions for future work.


2004 ◽  
Vol 19 (39) ◽  
pp. 2879-2894 ◽  
Author(s):  
J. R. PELÁEZ

By means of unitarized Chiral Perturbation Theory it is possible to obtain a remarkable description of meson–meson scattering amplitudes up to 1.2 GeV, and generate poles associated to scalar and vector resonances. Since Chiral Perturbation Theory is the QCD low energy effective theory, it is then possible to study its large-N c limit where [Formula: see text] states are easily identified. The vectors thus generated follow closely a [Formula: see text] behavior, whereas the light scalar poles follow the large-N c behavior expected for a dominant tetraquark or two-meson structure.


2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Thomas Vonk ◽  
Feng-Kun Guo ◽  
Ulf-G. Meißner

Abstract In the past, the axion-nucleon coupling has been calculated in the framework of SU(2) heavy baryon chiral perturbation theory up to third order in the chiral power counting. Here, we extend these earlier studies to the case of heavy baryon chiral perturbation theory with SU(3) flavor symmetry and derive the axion coupling to the full SU(3) baryon octet, showing that the axion also significantly couples to hyperons. As studies on dense nuclear matter suggest the possible existence of hyperons in stellar objects such as neutron stars, our results should have phenomenological implications related to the so-called axion window.


2019 ◽  
Vol 34 (21) ◽  
pp. 1950113
Author(s):  
V. A. Franke ◽  
M. Yu. Malyshev ◽  
S. A. Paston ◽  
E. V. Prokhvatilov ◽  
M. I. Vyazovsky

Light front (LF) Hamiltonian for QED in [Formula: see text] dimensions is constructed using the boson form of this model with additional Pauli–Villars-type ultraviolet regularization. Perturbation theory, generated by this LF Hamiltonian, is proved to be equivalent to usual covariant chiral perturbation theory. The obtained LF Hamiltonian depends explicitly on chiral condensate parameters which enter in a form of some renormalization of coupling constants. The obtained results can be useful when one attempts to apply LF Hamiltonian approach for [Formula: see text]-dimensional models like QCD.


1987 ◽  
Vol 189 (3) ◽  
pp. 363-368 ◽  
Author(s):  
Gerhard Ecker ◽  
Antonio Pich ◽  
Eduardo De Rafael

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