Semiclassical Quantization Condition for a Relativistic Bound System of Two Equal-Mass Fermions

New relativistic semiclassical quantization conditions are obtained for a system of two equal-mass fermions interacting via nonsingular confining quasipotentials and quasipotentials of the funnel type. The quantization conditions are specified in the pseudoscalar, pseudovector, and vector cases. The...

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Bibliographic Details
Published in:Physics of atomic nuclei 2020-05, Vol.83 (3), p.488-494
Main Author: Chernichenko, Yu. D.
Format: Article
Language:English
Subjects:
ELEMENTARY PARTICLES AND FIELDS/Theory
Fermions
Field theory
Measurement
Particle and Nuclear Physics
Particle spin
Physics
Physics and Astronomy
Quantum field theory
Quantum theory
Relativistic effects
Relativistic particles
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Summary:New relativistic semiclassical quantization conditions are obtained for a system of two equal-mass fermions interacting via nonsingular confining quasipotentials and quasipotentials of the funnel type. The quantization conditions are specified in the pseudoscalar, pseudovector, and vector cases. The respective analysis is performed within the Hamiltonian formulation of quantum field theory via a transition to the relativistic configuration representation for the case of a bound system formed by two relativistic spin particles of equal mass.
ISSN:1063-7788
1562-692X
DOI:10.1134/S1063778820030047