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The non-resonant secular dynamics of compact planetary systems are modeled by a perturbing function which is usually expanded in eccentricity and absolute inclination with respect to the invariant plane. Here, the expressions are given in a…

Earth and Planetary Astrophysics · Physics 2015-06-19 Gwenaël Boué , Daniel Fabrycky

Mean-motion resonances between a Keplerian disc and an orbiting companion are analysed within a Hamiltonian formulation using complex canonical Poincare variables, which are ideally suited to the description of eccentricity and inclination…

Astrophysics · Physics 2008-11-26 Gordon I. Ogilvie

The spinning electron-electron interaction is described in classical terms by means of two possible classical interactions: The instantaneous Coulomb interaction between the charge centers of both particles and the Poincar\'e invariant…

Classical Physics · Physics 2025-11-19 Juan Barandiaran , Martin Rivas

In geometric algebra, the rotation of a vector is described using rotors. Rotors are phasors where the imaginary number has been replaced by a oriented plane element of unit area called a unit bivector. The algebra in three dimensional…

Classical Physics · Physics 2022-11-01 S. D. Brechet

Based on angular amplitude modulation of orthogonal base vectors in common-path interference method, we propose an interesting type of hybrid vector beams with unprecedented azimuthal polarization gradient and demonstrate in experiment.…

Optics · Physics 2020-05-19 Lei Han , Shuxia Qi , Sheng Liu , Peng Li , Huachao Cheng , Jianlin Zhao

We present a matrix formalism, inspired by the Minkowski four-vectors of special relativity, useful to solve classical physics problems related to both mechanics and thermodynamics. The formalism turns out to be convenient to deal with…

Classical Physics · Physics 2014-02-11 Julio Güémez , Manuel Fiolhais

Instantaneous interactions in Standard Model are derived by the resolution of the Gauss constraints in inertial reference frames defined as irreducible representations of the Poincare group. The relativistic covariant and gauge-invariant…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Z. Dubnickova , S. Dubnicka , V. N. Pervushin , M. Secansky

The angular motion of a few-body system is described with global vectors which depend on the positions of the particles. The previous study using a single global vector is extended to make it possible to describe both natural and unnatural…

Nuclear Theory · Physics 2008-11-26 Y. Suzuki , W. Horiuchi , M. Orabi , K. Arai

Electromagnetic interactions are introduced in the effective chiral Lagrangian for heavy mesons which includes light vector particles. A suitable notion of vector meson dominance is formulated. The constraints on the heavy meson -light…

High Energy Physics - Phenomenology · Physics 2014-11-17 Pankaj Jain , Arshad Momen , Joseph Schechter

A theoretical study of Goldstone boson scattering based on the chiral Lagrangian with vector meson fields is presented. In application of a recently developed novel approach we extrapolate subthreshold partial-wave amplitudes into the…

High Energy Physics - Phenomenology · Physics 2017-08-23 I. V. Danilkin , M. F. M. Lutz

We study the two-body decays of mesons using the covariant helicity formalism. In particular, we show how the partial wave analysis of decays constrains the interacting terms entering the Lagrangian describing the decays of mesons with…

High Energy Physics - Phenomenology · Physics 2022-04-06 Vanamali Shastry , Enrico Trotti , Francesco Giacosa

With the eigen-functional bosonization method, we study one-dimensional strongly correlated electron systems with large momentum ($2k_{F}$ and/or $4k_{F}$) transfer term(s), and demonstrate that this kind of problems ends in to solve the…

Strongly Correlated Electrons · Physics 2007-05-23 Yu-Liang Liu

We apply nonperturbative variational techniques to a relativistic scalar field theory in which heavy bosons (``nucleons'') interact with light scalar mesons via a Yukawa coupling. Integrating out the meson field and neglecting the nucleon…

Nuclear Theory · Physics 2009-10-28 R. Rosenfelder , A. W. Schreiber

We present a comprehensive study of the screening masses of vector and axial-vector mesons and their corresponding diquark partners within a symmetry-preserving vector-vector contact interaction approach. Our analysis includes mesons and…

High Energy Physics - Phenomenology · Physics 2026-02-09 L. X. Gutiérrez-Guerrero , M. A. Ramírez-Garrido , M. A. Pérez de León , R. J. Hernández-Pinto

In this part of the series I show how five-tensors can be used for describing in a coordinate-independent way finite and infinitesimal Poincare transformations in flat space-time. As an illustration, I reformulate the classical mechanics of…

Mathematical Physics · Physics 2007-05-23 Alexander Krasulin

We outline an algorithm for construction of functional bases of absolute invariants under the rotation group for sets of rank 2 tensors and vectors in the Euclidean space of arbitrary dimension. We will use our earlier results for symmetric…

Mathematical Physics · Physics 2018-12-10 Irina Yehorchenko

We present an atomic, molecular, and optical physics based method for the purpose of search for axial-vector mediated dipole-dipole interaction between electrons. In our scheme, applying a static magnetic field and a pump beam and a probe…

Quantum Physics · Physics 2019-10-28 Lei Chen , Jian Liu , Ka Di Zhu

We study the decays of the lightest axial-vector and pseudovector mesons, interpreted as quark-antiquark states, into a vector and a pseudoscalar meson. We show that the quarkonium assignment delivers a good description of the decays and…

High Energy Physics - Phenomenology · Physics 2015-06-16 Florian Divotgey , Lisa Olbrich , Francesco Giacosa

We evaluate the radiative decay into a vector a pseudoscalar and a photon of several resonances dynamically generated from the vector vector interaction. The process proceeds via the decay of one of the vector components into a pseudoscalar…

High Energy Physics - Phenomenology · Physics 2014-11-20 J. Yamagata-Sekihara , E. Oset

We discuss the possible symmetries of the effective lagrangian describing interacting pseudoscalar-, vector-, and axial-vector mesons. Specific choices of the parameters give rise to an $[SU(2)\otimes SU(2)]^3$ symmetry. This symmetry can…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Casalbuoni , A. Deandrea , S. De Curtis , D. Dominici , F. Feruglio , R. Gatto , M. Grazzini