Description of Si Isotopes within RMF+BCS Approach Saxena G.1,2, Singh D.2, Yadav H. L.3,4 1School of Engg. and Tech., Jaipur National University, Jaipur-302025, India 2Department of Physics, University of Rajasthan, Jaipur-302004, India 3Department of Physics, Banaras Hindu University, Varanasi-221005, India 4Research Center for Nuclear Physics (RCNP), Osaka University, 10-1, Mihogaoka, Ibaraki, Osaka, 567–0047, Japan PACS: 21.10.-k, 21.10.Ft, 21.10.Dr, 21.10.Gv, 21.10.-n, 21.60.Jz Online published on 14 February, 2012. Abstract Inspired by the recent measurements indicating proton magic number at Z=14 in the vicinity of 42Si, we have employed our relativistic mean-field (RMF) plus state dependent BCS approach for the study of ground state properties of even-even Si isotopes. In our RMF+BCS approach the single particle continuum corresponding to the RMF is replaced by a set of discrete positive energy states for the calculations of pairing energy. It is found that total pairing energy vanishes for each of the Si isotopes with neutron number N = 8, 14, 20, 28 and 34 indicating the shell closures for both the protons and neutrons. Moreover, it is further found that the proton shell closure occurs for all the Si isotopes indicating that Z = 14 is a magic number for these nuclei. This magicity at Z = 14 (untraditional) is found to be due to large gap between the proton sp state and the other two sp states 1d3/2 and the 2s1/2 in the s-d shell. The skin formation is seen to be due to the large spatial 1d5/2 extension of the single particle wave functions occupying the states with very small centrifugal barriers, in the neutron rich isotopes of Si. These results are found to be consistent with the available experimental data. Top Keywords Drip-line nuclei, Relativistic mean-field plus BCS approach, Si isotopes, two neutron separation energy, pairing energy, pairing gap, Radii. Top |