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Three out of four complex components of the Dirac spinor can be algebraically eliminated from the Dirac equation (if some linear combination of electromagnetic fields does not vanish), yielding a partial differential equation of the fourth…

Quantum Physics · Physics 2015-05-19 Andrey Akhmeteli

Probabilities of various Fock states with strange and nonstrange quark-gluon sea contents are calculated to probe the hadronic structure. Particularly for nucleon, we find various contributions to the low energy properties from scalar,…

High Energy Physics - Phenomenology · Physics 2015-06-11 M. Batra , A. Upadhyay

Neutrinos may be pseudo-Dirac states, such that each generation is actually composed of two maximally-mixed Majorana neutrinos separated by a tiny mass difference. The usual active neutrino oscillation phenomenology would be unaltered if…

High Energy Physics - Phenomenology · Physics 2009-11-10 John F. Beacom , Nicole F. Bell , Dan Hooper , John G. Learned , Sandip Pakvasa , Thomas J. Weiler

The systematic change of shell structure in both weakly bound and resonant neutron one-particle levels in nuclei towards the neutron drip line is exhibited, solving the coupled equations derived from the Schr\"{o}dinger equation in…

Nuclear Theory · Physics 2011-02-18 Ikuko Hamamoto

Ultra-cold atoms which are subject to ultra-relativistic dynamics are investigated. By using optically induced gauge potentials we show that the dynamics of the atoms is governed by a Dirac type equation. To illustrate this we study the…

Quantum Physics · Physics 2009-11-13 M. Merkl , F. E. Zimmer , G. Juzeliunas , P. Öhberg

A system of first-order differential equations for a particle with nonzero mass and spin $S = 1$ is constructed. As distinct from the Proca-Duffin-Kemmer (PDK) equations, the system has the form of the dynamical equation…

Quantum Physics · Physics 2018-01-26 B. E. Grinyuk

The Standard Model (SM) of Particle Physics was tested to great precision by experiments at the highest energy colliders (LEP, Hera, Tevatron, SLAC). The only missing particle is the Higgs boson, which will be the first particle to be…

High Energy Physics - Experiment · Physics 2009-12-18 Giorgio Giacomelli

The Dirac theory implies the existence of an internal vector space, in addition to spin space. Using Dirac's coupling of variables in internal space to those in physical space, we construct a new configuration structure for particles in the…

General Physics · Physics 2007-05-23 Janet Pan , Lu Lin

Generalized with respect to the Stark interaction of atoms with a vacuum field of zero photon density, Dicke's model is used to describe the Raman superradiance of a localized ensemble of identical atoms in a coherent non-resonant light…

Quantum Physics · Physics 2019-01-16 A. M. Basharov , A. I. Trubilko

The Hartree-Fock approximation of Quantum Electrodynamics provides a rigorous framework for the description of relativistic electrons in external fields. This nonlinear model takes into account the infinitely many virtual electrons of…

Mathematical Physics · Physics 2012-11-21 Julien Sabin

Today, the 'hydrogen atom model' is known to play its role not only in teaching the basic elements of quantum mechanics but also for building up effective theories in atomic and molecular physics, quantum optics, plasma physics, or even in…

Atomic Physics · Physics 2007-05-23 Andrey Surzhykov , Peter Koval , Stephan Fritzsche

The understanding of the interaction of nucleons in nuclear and neutron-rich matter at non-zero temperature is important for a variety of applications ranging from heavy-ion collisions to nuclear astrophysics. In this papre we apply the…

Nuclear Theory · Physics 2014-11-21 Francesca Sammarruca

We present quite a powerful method in investigations of different phenomena that can appear when neutrinos and electrons propagate in background matter. This method implies use of exact solutions of modified Dirac equations that contain the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander Studenikin

We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin-1/2 particles like electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The…

Atomic Physics · Physics 2009-11-13 Christian Hainzl , Mathieu Lewin , Eric Sere , Jan Philip Solovej

It is shown the possibility of existence of metastable atoms of dineutroneum as a bound state of two neutrons and one neutrino. Such atoms can appear in a reaction of deuterons with free or quasi-free electrons. The estimation of mass, size…

Nuclear Theory · Physics 2009-10-01 Yu. L. Ratis

We develop a class of left-right symmetric theories based on the gauge group $SU(3)_c \times SU(2)_L \times SU(2)_R \times U(1)$ with a generalized seesaw mechanism for generating the charged fermion masses. Neutrinos are naturally Dirac…

High Energy Physics - Phenomenology · Physics 2022-09-07 K. S. Babu , Xiao-Gang He , Mingxian Su , Anil Thapa

We investigate nuclear matter properties in the relativistic Brueckner approach. The in-medium on-shell T-matrix is represented covariantly by five Lorentz invariant amplitudes from which we deduce directly the nucleon self-energy. To…

Nuclear Theory · Physics 2009-10-31 T. Gross-Boelting , C. Fuchs , Amand Faessler

The classical model of spinning particle is analyzed in details in two versions - with single spinor and two spinors put on the trajectory. Equations of motion of the first version are easily solvable. The system with two spinors becomes…

Classical Physics · Physics 2019-09-17 Cezary J. Walczyk , Zbigniew Hasiewicz

After the electroweak symmetry breaking, we can write down two types of mass for the Standard Model neutrinos, Dirac or Majorana. It is often said that both types of mass cannot be distinguished in neutrino oscillation phenomena. This is in…

High Energy Physics - Phenomenology · Physics 2025-12-24 Chee Sheng Fong , Yago Porto

A simple translation between a standard representation of $\mathfrak{sl}_2\mathbb{C}$ and the complex-quaternions ($\mathbb{H}\otimes_\mathbb{R}\mathbb{C}$) is established and exploited to construct a novel hyper-complex description of the…

Quantum Physics · Physics 2026-04-21 James Henry Atwater , David Lambert , Yuri Rostovtsev
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