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Related papers: Scattering phaseshift formulas for mesons and bary…

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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

We analyze the process of two-particle scattering with unstable particle in an intermediate state. It was shown that the cross-section can be represented in the universal factorized form for an arbitrary set of particles. Phenomenological…

High Energy Physics - Phenomenology · Physics 2009-11-13 V. I. Kuksa

The scattering phase shift encodes a good amount of physical information which can be used to study resonances from scattering data. Among others, it can be used to calculate the continuum density of states and the collision time in a…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Nowakowski , N. G. Kelkar

Introducing a short range force coupling the spinless fermions to one unit of angular momentum in the framework of pionless EFT, we first report the two-body scattering amplitudes with Coulomb corrections, extended to two fermions of…

Nuclear Theory · Physics 2021-10-22 Gianluca Stellin

We calculate the complete $T$ matrices of the elastic light pseudoscalar meson and heavy meson scattering to the third order in heavy meson chiral perturbation theory. We determine the low-energy constants by fitting the phase shifts and…

High Energy Physics - Phenomenology · Physics 2023-01-27 Bo-Lin Huang , Zi-Yang Lin , Kan Chen , Shi-Lin Zhu

We calculate the lambda-nucleon scattering phase shifts and mixing angles by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. Scattering amplitudes are…

Nuclear Theory · Physics 2020-03-18 X. -L. Ren , E. Epelbaum , J. Gegelia

We investigate the nucleon-nucleon interaction by using the meson exchange model and the two body Dirac equations of constraint dynamics. This approach to the two body problem has been successfully tested for QED and QCD relativistic bound…

Nuclear Theory · Physics 2009-11-07 Bin Liu , Horace Crater

We propose a framework for calculating scattering and bound state properties in anisotropic two-dimensional potentials. Using our method, we derive systematic approximations of partial wave phase shifts and binding energies. Moreover, the…

Quantum Gases · Physics 2012-01-31 Matthias Rosenkranz , Weizhu Bao

Scattering processes are a fundamental way of experimentally probing distributions and properties of systems in several areas of physics. Considering two-body scattering at low energies, when the de Broglie wavelength is larger than the…

Quantum Physics · Physics 2023-08-01 Mathias Macêdo-Lima , Lucas Madeira

We simulate numerically the dynamics of strongly correlated bosons in a two-leg ladder subject to a time-dependent energy bias between the two chains. When all atoms are initially in the leg with higher energy, we find a drastic reduction…

In this paper, we study the following two-component systems of nonlinear Schr\"odinger equations \begin{equation*} \left\{\aligned&\Delta u-(\lambda a(x)+a_0(x))u+\mu_1u^3+\beta v^2u=0\quad&\text{in }\bbr^3,\\ &\Delta v-(\lambda…

Analysis of PDEs · Mathematics 2014-12-30 Yuanze Wu , Tsung-fang Wu , Wenming Zou

Integral equations for meson-baryon scattering amplitudes are obtained by utilizing time-ordered perturbation theory for a manifestly Lorentz-invariant formulation of baryon chiral perturbation theory. Effective potentials are defined as…

High Energy Physics - Phenomenology · Physics 2020-05-18 X. -L. Ren , E. Epelbaum , J. Gegelia , Ulf-G. Meißner

The discrete energy-eigenvalues of two nucleons interacting with a finite-range nuclear force and confined to a harmonic potential are used to numerically reconstruct the free-space scattering phase shifts. The extracted phase shifts are…

Nuclear Theory · Physics 2014-11-21 Thomas Luu , Martin Savage , Achim Schwenk , James P. Vary

We review a three-dimensional formalism that provides a systematic way to include relativistic effects including relativistic kinematics, the effects of negative-energy states, and the boosts of the two-body system in calculations of…

Nuclear Theory · Physics 2007-05-23 Daniel R. Phillips

A new implementation of estimating the two-to-two $K$-matrix from finite-volume energies based on the Luescher formalism is described. The method includes higher partial waves and multiple decay channels, and the fitting procedure properly…

High Energy Physics - Lattice · Physics 2018-04-18 Ruairí Brett , John Bulava , Jacob Fallica , Andrew Hanlon , Ben Hörz , Colin Morningstar , Bijit Singha

The cross section of elastic electron-proton scattering taking place in an electron gas is calculated within the Closed Time Path method. It is found to be the sum of two terms, one being the expression in the vacuum except that it involves…

High Energy Physics - Theory · Physics 2013-05-30 Janos Polonyi , Karima Zazoua

A method combining the Lagrange-mesh and the complex Kohn variational methods is developed for computing the $\mathcal{S}$ matrix of a 2$+$1 elastic scattering in the frame of three-body Coulomb systems. Resonance parameters can be obtained…

Quantum Physics · Physics 2024-05-28 Jean Servais , Jérémy Dohet-Eraly

With the aim of studying nonperturbative out-of-equilibrium dynamics of high-energy particle collisions on quantum simulators, we investigate the scattering dynamics of lattice quantum electrodynamics in 1+1 dimensions. Working in the…

We present a method for efficiently finding solutions of L\"uscher's quantisation condition, the equation which relates two-particle scattering amplitudes to the discrete spectrum of states in a periodic spatial volume of finite extent such…

High Energy Physics - Lattice · Physics 2020-07-01 Antoni J. Woss , David J. Wilson , Jozef J. Dudek

We calculate two-body scattering phase shifts on a quantum computer using a leading order short-range effective field theory Hamiltonian. The algorithm combines the variational quantum eigensolver and the quantum subspace expansion. As an…

Nuclear Theory · Physics 2024-11-21 Sanket Sharma , Thomas Papenbrock , Lucas Platter