Neutral 3-body system in a strong magnetic field: factorization and exact solutions
Yu. A. Simonov (Institute of Theoretical, Experimental Physics,, Moscow, Russia)
TL;DR
This paper demonstrates that neutral three-body systems with two identical particles in a strong magnetic field have exact, factorizable solutions in both nonrelativistic and relativistic frameworks, with applications to helium and neutron systems.
Contribution
It extends the exact solution approach to neutral three-body systems in magnetic fields, providing explicit solutions for helium and neutron models.
Findings
Exact factorizable solutions exist for these systems.
Applications to helium atom and neutron systems are demonstrated.
Solutions are valid in both nonrelativistic and relativistic formalisms.
Abstract
Neutral systems containing two identical particles, in homogeneous magnetic field are shown to obey exact factorizable solutions both in nonrelativistic and relativistic formalism, similarly to the neutral two-body systems. Concrete examples of the helium atom and the neutron as a (ddu) system are considered.
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