Spin symmetry in the relativistic modified Rosen–Morse potential with the approximate centrifugal term

doi:10.1088/1674-1056/20/6/062101

Abstract By applying a Pekeris-type approximation to the centrifugal term, we study the spin symmetry of a Dirac nucleon subjected to scalar and vector modified Rosen-Morse potentials. A complicated energy equation and associated two-component spinors with arbitrary spin-orbit coupling quantum number k are presented. The positive-energy bound states are checked numerically in the case of spin symmetry. The relativistic modified Rosen-Morse potential cannot trap a Dirac nucleon in the limiting case $\alpha$→ 0.

Keywords: modified Rosen-Morse potential Dirac equation spin symmetry

Received: 25 July 2010
Revised: 20 December 2010
Accepted manuscript online:

PACS:	21.10.-k	(Properties of nuclei; nuclear energy levels)
	03.65.-w	(Quantum mechanics)

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Chen Wen-Li (陈文利), Wei Gao-Feng (卫高峰) Spin symmetry in the relativistic modified Rosen–Morse potential with the approximate centrifugal term 2011 Chin. Phys. B 20 062101

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Spin symmetry in the relativistic modified Rosen–Morse potential with the approximate centrifugal term

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