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The interactions between the f_0(980) and a_0(980) scalar resonances and the lightest pseudoscalar mesons are studied. We first obtain the interacting kernels, without including any ad hoc free parameter, because the lightest scalar…

High Energy Physics - Phenomenology · Physics 2015-05-20 M. Albaladejo , J. A. Oller

We use a chiral model for pion interactions, in the inverse amplitude formalism, to perform a simultaneous analysis of lattice QCD results for pion-pion scattering in all three isospin channels. The input is the finite-volume two-pion…

High Energy Physics - Lattice · Physics 2020-01-01 Maxim Mai , Chris Culver , Andrei Alexandru , Michael Döring , Frank X. Lee

We present the first lattice QCD study of coupled-channel $D\pi$, $D\eta$ and $D_{s}\bar{K}$ scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable…

High Energy Physics - Lattice · Physics 2016-10-13 Graham Moir , Michael Peardon , Sinéad M. Ryan , Christopher E. Thomas , David J. Wilson

We investigate the high-energy behavior of the elastic scattering amplitude using the eikonal and $U$-matrix unitarization schemes. This work extends the analysis in [1] by exploring the sensitivity of the Pomeron and Odderon parameters to…

High Energy Physics - Phenomenology · Physics 2024-11-26 M. Maneyro , E. G. S. Luna , M. Peláez

In this work, we construct the $D$-wave isoscalar $\pi\pi/K\bar K$ coupled-channel Omn\`es matrix, formulated to satisfy unitarity, analyticity, and the appropriate asymptotic behavior. We employ a two-channel $K$-matrix model containing…

High Energy Physics - Phenomenology · Physics 2026-01-06 Igor Danilkin , Oleksandra Deineka , Emilie Passemar , Marc Vanderhaeghen

We compare the methods of amplitude reconstruction, for a complete experiment and a truncated partial wave analysis, applied to the photoproduction of pseudo-scalar mesons. The approach is pedagogical, showing in detail how the amplitude…

Nuclear Theory · Physics 2017-01-25 R. L. Workman , L. Tiator , Y. Wunderlich , M. Doering , H. Haberzettl

Progress in computing various meson-baryon scattering amplitudes is presented on a single ensemble from the Coordinated Lattice Simulations (CLS) consortium with $m_\pi=200$ MeV and $N_f=2+1$ dynamical fermions. The finite-volume L\"uscher…

High Energy Physics - Lattice · Physics 2021-11-16 Colin Morningstar , John Bulava , Andrew D. Hanlon , Ben Hörz , Daniel Mohler , Amy Nicholson , Sarah Skinner , André Walker-Loud

We study the interaction of vector mesons with the octet of stable baryons in the framework of the local hidden gauge formalism using a coupled channels unitary approach, including also the pseudoscalar-baryon channels which couple to the…

High Energy Physics - Phenomenology · Physics 2015-06-03 E. J. Garzon , E. Oset

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

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 generator coordinate method of a microscopic cluster model is developed to treat the resonance and scattering of nuclear clusters with complex scaling. We consistently derive the formulation of the complex scaling for the microscopic…

Nuclear Theory · Physics 2023-06-19 Takayuki Myo , Hiroki Takemoto

We present a coupled-channel Lagrangian approach (GiM) to describe the $\pi N \to \pi N$, $2\pi N$ scattering in the resonance energy region. The $2\pi N$ production has been significantly improved by using the isobar approximation with…

Nuclear Theory · Physics 2016-04-20 V. Shklyar , H. Lenske , U. Mosel

We generalize the concept of optical scattering matrix ($S$-matrix) to characterize harmonic generation and frequency mixing in planar metasurfaces in the limit of undepleted pump approximation. We show that the symmetry properties of such…

Optics · Physics 2024-05-03 Kirill Koshelev , Ivan Toftul , Yongsop Hwang , Yuri Kivshar

Optical metasurfaces consist of a 2D arrangement of scatterers, and they control the amplitude, phase, and polarization of an incidence field on demand. Optical metasurfaces are the cornerstone for a future generation of flat optical…

If scattering amplitudes are ordinary complex numbers (not quaternions) there is a universal algebraic relationship between the six coherent cross sections of any three scatterers (taken singly and pairwise). A violation of this…

Quantum Physics · Physics 2007-05-23 Asher Peres

The $\pi\pi$ scattering amplitude in the $\sigma$-channel is studied at finite baryonic density in the framework of a chiral unitary approach which successfully reproduces the meson meson phase shifts and generates the $f_0$ and $\sigma$…

Nuclear Theory · Physics 2011-02-09 D. Cabrera , E. Oset , M. J. Vicente Vacas

We study the large $N_\text{c}$ scaling of meson-meson scattering amplitudes in a theory with $N_\text{f}=4$ degenerate quark flavors. We focus on two different scattering channels, one having the same quantum numbers as some recently found…

High Energy Physics - Lattice · Physics 2024-01-11 Jorge Baeza-Ballesteros , Pilar Hernández , Fernando Romero-López

The consistent construction of scattering amplitudes for processes with off-shell initial partons and involving electro-weak interactions is addressed.

High Energy Physics - Phenomenology · Physics 2019-02-06 A. van Hameren

Studies of meson production in nucleon-nucleon collisions at threshold are characterised by few degrees of freedom in a configuration of well defined initial and final states with a transition governed by short range dynamics. Effects from…

Nuclear Experiment · Physics 2016-09-08 M. Wolke

The paper is devoted to the construction of low-energy quark scattering amplitudes. Bootstrap quark model allows to describe the light and heavy hadron spectroscopy based on three principles: unitarity, analicity and crossing symmetry. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Gerasyuta , S. Bielefeld