PERIODIC ORBITS OF THE RELATIVISTIC ANTIPROTON IN A NONLINEAR NUCLEAR FIELD
Abstract
In the paper orbital movements of a relativistic nucleon and antinucleon in the
nonlinear field of a massive nucleus are studied. The problem is reduced to a system of
nonlinear differential equations of the second order with respect to the radial coordinate
and polar angle of the particle. Numerical computations for this system of equations are
carried out. It is shown that periodic orbits can occur in the case of movements of antiprotons
about nuclei. Conditions of their existence in the relativistic case are investigated.
nonlinear field of a massive nucleus are studied. The problem is reduced to a system of
nonlinear differential equations of the second order with respect to the radial coordinate
and polar angle of the particle. Numerical computations for this system of equations are
carried out. It is shown that periodic orbits can occur in the case of movements of antiprotons
about nuclei. Conditions of their existence in the relativistic case are investigated.
About the Authors
А. Рабинович
Московский государственный университет приборостроения и информатики
Russian Federation
Russian Federation
М. Крамской
Московский государственный университет приборостроения и информатики
Russian Federation
Russian Federation
References
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5. Rabinowitch, A.S. Nonlinear Physical Fields and Anomalous Phenomena, New York, Nova Science Publishers, 2009.
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