Properties of relativistic bound states

1966 ◽  
Vol 46 (1) ◽  
pp. 162-170 ◽  
Author(s):  
M. Ciafaloni ◽  
P. Menotti
Keyword(s):  
Bound States ◽  
Relativistic Bound States

scholarly journals On relativistic entanglement and localization of particles and on their comparison with the nonrelativistic theory

2014 ◽  
Vol 29 (29) ◽  
pp. 1450163 ◽  
Author(s):  
Horace W. Crater ◽  
Luca Lusanna
Keyword(s):  
Bound States ◽  
Clock Synchronization ◽  
Center Of Mass ◽  
Particle Beams ◽  
Open Problems ◽  
Inertial Frames ◽  
Classical Trajectories ◽  
Particle Localization ◽  
Relativistic Bound States ◽  
Classical And Quantum Mechanics

We make a critical comparison of relativistic and nonrelativistic classical and quantum mechanics of particles in inertial frames as well of the open problems in particle localization at both levels. The solution of the problems of the relativistic center-of-mass, of the clock synchronization convention needed to define relativistic 3-spaces and of the elimination of the relative times in the relativistic bound states leads to a description with a decoupled nonlocal (nonmeasurable) relativistic center-of-mass and with only relative variables for the particles (single particle subsystems do not exist). We analyze the implications for entanglement of this relativistic spatial nonseparability not existing in nonrelativistic entanglement. Then, we try to reconcile the two visions showing that also at the nonrelativistic level in real experiments only relative variables are measured with their directions determined by the effective mean classical trajectories of particle beams present in the experiment. The existing results about the nonrelativistic and relativistic localization of particles and atoms support the view that detectors only identify effective particles following this type of trajectories: these objects are the phenomenological emergent aspect of the notion of particle defined by means of the Fock spaces of quantum field theory.

scholarly journals The relativistic bound states of Coulomb potential plus a new ring-shaped potential

2006 ◽  
Vol 55 (8) ◽  
pp. 3875
Author(s):  
Chen Chang-Yuan ◽  
Sun Dong-Sheng ◽  
Lu Fa-Lin
Keyword(s):  
Coulomb Potential ◽  
Bound States ◽  
Relativistic Bound States

scholarly journals The relativistic bound states of a non-central potential

Pramana ◽  
2017 ◽  
Vol 88 (4) ◽  
Author(s):  
MAHDI ESHGHI ◽  
HOSSEIN MEHRABAN ◽  
SAMEER M IKHDAIR
Keyword(s):  
Bound States ◽  
Central Potential ◽  
Relativistic Bound States

scholarly journals Electromagnetic scattering from relativistic bound states

1993 ◽  
Vol 48 (3) ◽  
pp. R973-R977 ◽  
Author(s):  
N. K. Devine ◽  
S. J. Wallace
Keyword(s):  
Electromagnetic Scattering ◽  
Bound States ◽  
Relativistic Bound States

Relativistic bound states in three space-time dimensions in Minkowski space

2016 ◽  
Author(s):  
C. Gutierrez ◽  
V. Gigante ◽  
T. Frederico ◽  
Lauro Tomio
Keyword(s):  
Minkowski Space ◽  
Bound States ◽  
Space Time ◽  
Relativistic Bound States ◽  
Three Space

ENERGY SPECTRA OF GLUINONIUM

2011 ◽  
Vol 20 (supp02) ◽  
pp. 200-209
Author(s):  
CÉSAR A. Z. VASCONCELLOS ◽  
DIMITER HADJIMICHEF ◽  
MÁRIO L. L. DA SILVA ◽  
MOISÉS RAZEIRA ◽  
ALEXANDRE MESQUITA ◽  
...  
Keyword(s):  
Energy Spectrum ◽  
Excited States ◽  
Bound States ◽  
Bound State ◽  
State Equation ◽  
Relativistic Case ◽  
Light Scalar ◽  
Pseudo Scalar ◽  
Relativistic Bound States

We investigate relativistic bound states for a hypothetical light scalar gluino pair (gluinonium), in the framework of the covariant Bethe-Salpeter equation (BSE). In this paper, we derive, from the covariant BSE for a fermion-anti-fermion system, using charge conjugation, the corresponding bound-state equation for a gluino pair and we then formulate, for a static harmonic kernel, the coupled differential equations for the corresponding static Bethe-Salpeter amplitude. The steps of our approach then include a numerical solution of the Bethe-Salpeter amplitude for a two-body interaction consisting of scalar, pseudo-scalar, and four-vector components and the determination of the energy spectrum for the ground and the radially excited states of massive gluinonium. We found the energy spectrum and radial distributions of fundamental and excited states of gluinonium. The comparison of the values obtained in the extreme relativistic case with the corresponding values predicted by a harmonic oscillator potential model shows that there is good agreement between the two formulations. The predictions of the binding energy of glunionium in the non-relativistic model are however systematically higher.

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