Y K GAMBHIR and C S WARKE

Department of Physics, Indian Institute of Technology, Mumbai 400 076, India

MS received 26 April 1999

E-mail: yogy@niharika.phy.iitb.ernet.in

 Abstract:

Valence nucleon effective mass, which is almost constant, is proposed within the relativistic mean field theories of finite nuclei (closed shell ± one nucleon). It acquires a slight spin-orbit splitting due to relativistic effects. The relativistic Dirac magnetic moment operator m ® _op is rewritten analytically in terms of angular momentum-Pauli spin coupled states and the effective mass. Introducing the nucleon effective charge, the iso-scalar and iso-vector corrections to the magnetic moment operator are extracted from the overall one parameter fit of the measured and the calculated values. The calculated values of magnetic moments are in overall fair agreement with the experiment as well as with the other detailed microscopic calculations.

Keywords. Relativistic mean field; nucleon effective mass; magnetic moment.

PACS Nos 21.10.Ky; 21.60.-n

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