The Relativistic Mean-Field, Effective Mass and the Compression Properties of Nuclei

✍ Scribed by M.M. Sharma; M.A. Nagarajan; P. Ring

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 713 KB
• Volume: 231
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1994.1035

✦ Synopsis

Properties and behaviour of nuclear matter and finite nuclei have been studied in the framework of the relativistic mean-field approach. Employing a number of parameter sets which have been constructed for various values of incompressibility and effective mass, the compression properties of nuclei have been calculated in the non-linear (\sigma-\omega) model. Using the Thomas-Fermi approximation for semi-infinite nuclear matter, the compression properties of nuclei have been studied. Calculations have been carried out for finite nuclei that show that the effect of the effective nucleon mass on the spin-orbit splitting in finite nuclei is significant. Within the non-linear ansatz of the (\sigma \omega \rho) model the spin-orbit splitting in nuclei constrains the effective mass in the relativistic mean field and thus restricts the physically allowable parameter sets for the description of finite nuclei. A comparison of the properties of the relativistic mean field has been done with the density-dependent Skyrme interactions wherever possible. Differences between the two approaches have been discussed. 1994 Academic Press, Inc.