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Relativistic lepton-proton bound-state eigenvalue equations for Hamiltonians derived from quantum field theory using second-order renormalization group procedure for effective particles, are reducible to two-body Schroedinger eigenvalue…

High Energy Physics - Phenomenology · Physics 2015-06-23 Stanislaw D. Glazek

We study bosonic systems in the regime in which the two-body system has a shallow bound state or, equivalently, a large value of the two-body scattering length. Using the effective field theory framework as a guide, we construct a series of…

Atomic Physics · Physics 2022-09-14 Paolo Recchia , Alejandro Kievsky , Luca Girlanda , Mario Gattobigio

Of all nuclear physics experiments none are more fundamental than ``elastic'' $p,p$ and, secondarily, $p,d$ or $d,d$ scattering. Recognizing that these particles are themselves composite, ``elastic'' scattering may be accompanied by…

Accelerator Physics · Physics 2023-02-08 Richard M Talman

In this work, we present a novel framework of relativistic non-resistive dissipative magnetohydrodynamics for spin-polarized particles. Utilizing a classical relativistic kinetic equation for the distribution function in an extended…

High Energy Physics - Phenomenology · Physics 2024-01-30 Samapan Bhadury , Wojciech Florkowski , Amaresh Jaiswal , Avdhesh Kumar , Radoslaw Ryblewski

In close analogy to fermionic many-body theory the truncation of the bosonic BBGKY density matrix hierarchy on the two-body level leads to a coupled set of nonlinear equations of motion for the one-body density matrix and the two-body…

Nuclear Theory · Physics 2009-10-28 J. M. Haeuser , W. Cassing , A. Peter

Emerging possibilities for creating and studying novel plasma regimes, e.g. relativistic plasmas and dense systems, in a controlled laboratory environment also requires new modeling tools for such systems. This brings motivation for…

Quantum Physics · Physics 2015-05-30 F. A. Asenjo , J. Zamanian , M. Marklund , G. Brodin , P. Johansson

We calculate the s-wave part of the pion-nucleus optical potential using a unitarized chiral approach that has been previously used to simultaneously describe pionic hydrogen and deuterium data as well as low energy pi N scattering in the…

Nuclear Theory · Physics 2008-11-26 M. Doring , E. Oset

A theoretical study the all two-photon transitions from initial bound states with ni = 2, 3 in hydrogenic ions is presented. High-precision values of relativistic decay rates for ions with nuclear charge in the range 1 =< Z =< 92 are…

Atomic Physics · Physics 2015-05-13 P. Amaro , J. P. Santos , F. Parente , A. Surzhykov , Paul Indelicato

We propose a new world-line Lagrangian model of the D=4 massless relativistic particle with continuous spin and develop its twistorial formulation. The description uses two Penrose twistors subjected to four first class constraints. After…

High Energy Physics - Theory · Physics 2018-08-01 I. L. Buchbinder , S. Fedoruk , A. P. Isaev , A. Rusnak

We study pion--nucleon scattering with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars. The scattering amplitude is evaluated to one-loop $Q^3$ order, where $Q$ is a generic small momentum, using a new approach which is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul J. Ellis , Hua-Bin Tang

In this work we perform a numerical exploration of the families of planar periodic orbits in the Hill's approximation in the restricted four body problem, that is, after a symplectic scaling, two massive bodies are sent to infinity, by mean…

Dynamical Systems · Mathematics 2016-10-19 Jaime Burgos-Garcia

Recent highlights from the spin program at the Relativistic Heavy Ion Collider (RHIC), focusing on the gluon contribution to the proton spin and the polarization of the light flavor sea, are presented. The impact of these data on recent…

Nuclear Experiment · Physics 2015-10-02 Brian Page

The possible involvement of weakly bound three-body systems in the muonic hydrogen spectroscopy experiment [1], which could resolve the current discrepancy between determinations of the proton radius, is investigated. Using variational…

Atomic Physics · Physics 2012-12-03 Jean-Philippe Karr , Laurent Hilico

We numerically calculate two-particle correlation functions of CERN-SPS 158 A GeV Pb+Pb central collisions based on a (3+1)-dimensional relativistic hydrodynamics with a first order phase transition. We analyze the pair momentum dependence…

High Energy Physics - Phenomenology · Physics 2016-09-06 Kenji Morita , Shin Muroya , Hiroki Nakamura , Chiho Nonaka

Recently, Cohen and Glashow pointed out that all known experimental tests of relativistic kinematics are consistent with invariance of physics under the four-parameter subgroup Sim(2) of the Lorentz group. The massive one-particle…

High Energy Physics - Phenomenology · Physics 2008-11-26 JiJi Fan , Walter D. Goldberger , Witold Skiba

Differential cross sections for elastic scattering of 21.5 MeV positive and negative pions by Si, Ca, Ni and Zr have been measured as part of a study of the pion-nucleus potential across threshold. The `anomalous' repulsion in the s-wave…

We extend the pion-nucleus multiple-scattering framework to include detailed second-order rescattering dynamics for nuclei with non-zero isospin. To account for intermediate charge-exchange and nucleon spin-flip effects, we develop a…

A simple model based on relativistic geometry and final-state hadronic rescattering is used to predict pion source parameters extracted in two-pion femtoscopy studies of proton-proton collisions at s**(1/2) = 200 GeV. From studying the…

Nuclear Theory · Physics 2010-04-21 T. J. Humanic

We consider constraints on the isoscalar S-wave pi-N scattering length a+ from pi-deuteron scattering, to third order in small momenta and pion masses in chiral perturbation theory. To this order, the pi-deuteron scattering length is…

Nuclear Theory · Physics 2008-11-26 S. R. Beane , V. Bernard , T. -S. H. Lee , Ulf-G. Meißner

We study the hydrodynamic limit of the Chern--Simons--Higgs system, a relativistic gauge field model involving the Chern--Simons interaction. We introduce a single scaling parameter capturing both the non-relativistic (infinite speed of…

Analysis of PDEs · Mathematics 2026-04-10 Jeongho Kim , Bora Moon