Shape transitions in two-body systems in a magnetic field: a classical limit
M. CerkaskiDepartment of Theory of Structure of Matter, Institute of Nuclear Physics PAN, Cracow, PolandR. G. NazmitdinovBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia
ABI
Abstract
An algebraic approach is formulated to describe shape transitions of two-fermion systems, confined in a three-dimensional axially-symmetric parabolic potential, in an external magnetic field. The fermion interaction is considered in the form U M (r) = α M r−M (α M > 0,M > 0). Explicit algebraic expressions are derived in terms of system’s parameters and of the magnetic field strength to trace such transitions in the classical limit.
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