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We compare the dependences on the number of colors of the leading pion pion scattering amplitudes using the single index quark field and two index quark fields. These are seen to have different relationships to the scattering amplitudes…

High Energy Physics - Phenomenology · Physics 2009-09-29 Francesco Sannino , Joseph Schechter

A separable potential model of three coupled channels (pion-pion, kaon-antikaon and an effective four pion) has been constructed and applied in the analysis of the isoscalar S-wave pion-pion and kaon-antikaon phase shifts and inelasticities…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Lesniak

We analyze the recently proposed Spectral Quark Model in the light of Chiral Perturbation Theory in curved space-time. In particular, we calculate the chiral coefficients $L_1, ..., L_{10}$, as well as the coefficients $L_{11}$, $L_{12}$,…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo , W. Broniowski

Interactions in coupled channels pipi, KKbar and an effective 2pi2pi in scalar-isoscalar wave have been analysed. Influence of interchannel couplings on analytical structure of multichannel interaction amplitudes has been studied. Interplay…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kaminski , L. Lesniak , B. Loiseau

Coupling constants of $S_{11}(1535)$ and $S_{11}(1650)$ resonances to meson-baryon ($\pi N$, $\eta N$, $\eta^\prime N$, $KY$) are investigated in a chiral quark model, complemented by inclusion of five-quark components in those resonances.…

Nuclear Theory · Physics 2015-05-30 Chunsheng An , Bijan Saghai

The $s-$wave meson-baryon scattering amplitude is analyzed for the strangeness $S=-1$ and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four two-body channels have been considered: $\bar K…

Nuclear Theory · Physics 2016-08-16 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. Vicente Vacas

We analyze recent results on isoscalar $\pi\pi$ scattering from a $N_f=2+1$ lattice simulation by the HadronSpectrum collaboration by re-summing the two-flavor chiral scattering amplitude of the next-to-leading order in the so-called…

High Energy Physics - Lattice · Physics 2016-11-01 Michael Döring , Bin Hu , Maxim Mai

We review our analysis of $\pi K$ scattering using forward dispersion relations. The method yields a set of simple parameterizations that are compatible with forward dispersion relations up to 1.6 GeV while still describing the data. Once…

High Energy Physics - Phenomenology · Physics 2017-07-17 A. Rodas

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

We calculate the hadronic matrix elements to $O(p^4)$ in the chiral expansion for the ($\Delta S =1$) $K^0 \to 2 \pi$ decays and the ($\Delta S=2$) $\bar K^0$-$K^0$ oscillation. This is done within the framework of the chiral quark model.…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Bertolini , J. O. Eeg , M. Fabbrichesi , E. I. Lashin

In this work the elastic scattering of two nucleons is calculated in chiral effective field theory at next-to-leading order taking into account the coupled N$\Delta$-, $\Delta$N- and $\Delta\Delta$-channels. To solve the coupled channel…

Nuclear Theory · Physics 2020-08-28 Susanne Strohmeier , Norbert Kaiser

In a resonance model the reactions pi N -> Y K and pi Delta -> Y K are studied. For the reactions pi N -> Lambda K and pi Delta -> Lambda K, the resonances N(1650)(J^P=1/2^-), N(1710)(1/2^+) and N(1720)(3/2^+) are included as intermediate…

Nuclear Theory · Physics 2009-09-25 S. W. Huang , K. Tsushima , A Faessler , E. Lehmann , R. K. Puri

We investigate the elastic $\pi N$ scattering for the $I=3/2$ channel dominated by the $\Delta(1232)$ resonance at finite baryon density $\rho_B$ for the symmetric nuclear matter, employing the effective Lagrangian approach at the…

Nuclear Theory · Physics 2023-02-22 Hyeon-dong Han , Parada T. P. Hutauruk , Seung-il Nam

We apply chiral quark model with momentum dependent quark mass to two kinds of non-perturbative objects. These are: photon Distribution Amplitudes which we calculate up to twist-4 in tensor, vector and axial channels and pion-photon…

High Energy Physics - Phenomenology · Physics 2010-02-19 Piotr Kotko

In the context of chiral SU(2) perturbation theory, pion-kaon scattering is analysed near the threshold to fourth chiral order. The scattering amplitude is calculated both in the relativistic framework and by using an approach similar to…

High Energy Physics - Phenomenology · Physics 2009-10-31 Arnold Roessl

Effective Chiral Lagrangian is derived from QCD in the framework of Field Correlator Method. It contains the effects of both confinement and chiral symmetry breaking due to a special structure of the resulting quark mass operator. It is…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. M. Fedorov , Yu. A. Simonov

The elastic $I=1/2$, $s$- and $p$-wave kaon-pion scattering amplitudes are calculated using a single ensemble of anisotropic lattice QCD gauge field configurations with $N_{\mathrm{f}} = 2+1$ flavors of dynamical Wilson-clover fermions at…

High Energy Physics - Lattice · Physics 2018-06-11 Ruairí Brett , John Bulava , Jacob Fallica , Andrew Hanlon , Ben Hörz , Colin Morningstar

Using the constrained curve fitting method and overlap fermions with the lowest pion mass at $180 {\rm MeV}$, we observe that the masses of the first positive and negative parity excited states of the nucleon tend to cross over as the quark…

High Energy Physics - Phenomenology · Physics 2016-08-16 N. Mathur , Y. Chen , S. J. Dong , T. Draper , I. Horváth , F. X. Lee , K. F. Liu , J. B. Zhang

The mass spectra of nucleon resonances with spin 1/2, 3/2, and 5/2 are systematically studied in the constituent quark model with meson-quark coupling, which is inspired by the spontaneous breaking of chiral symmetry of QCD. The meson-quark…

Nuclear Theory · Physics 2009-10-30 H. Kowata , M. Arima , K. Masutani

We compute the isospin $I= 0$ and 2 amplitudes for the decay of a kaon into two pions by estimating the relevant hadronic matrix elements in the chiral quark model. The results are parametrized in terms of the quark and gluon condensates…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Antonelli , S. Bertolini , M. Fabbrichesi , E. I. Lashin