First results are reported on the ground state configurations of the
neutron-rich 29,30Na isotopes, obtained via Coulomb dissociation (CD)
measurements as a method of the direct probe. The invariant mass spectra of
those nuclei have been obtained through measurement of the four-momentum of all
decay products after Coulomb excitation on a 208Pb target at energies of
400-430 MeV/nucleon using FRS-ALADIN-LAND setup at GSI, Darmstadt. Integrated
Coulomb-dissociation cross-sections (CD) of 89 (7) mb and 167 (13) mb up to
excitation energy of 10 MeV for one neutron removal from 29Na and
30Na respectively, have been extracted. The major part of one neutron
removal, CD cross-sections of those nuclei populate core, in its' ground state.
A comparison with the direct breakup model, suggests the predominant occupation
of the valence neutron in the ground state of 29Na(3/2+) and
30Na(2+) is the d orbital with small contribution in the
s-orbital which are coupled with ground state of the core. The ground state
configurations of these nuclei are as 28Na_{gs (1^+)\otimes\nu_{s,d} and
29Nags(3/2+)⊗νs,d, respectively. The ground state spin
and parity of these nuclei, obtained from this experiment are in agreement with
earlier reported values. The spectroscopic factors for the valence neutron
occupying the s and d orbitals for these nuclei in the ground state have
been extracted and reported for the first time. A comparison of the
experimental findings with the shell model calculation using MCSM suggests a
lower limit of around 4.3 MeV of the sd-pf shell gap in 30Na.Comment: Modified version of the manuscript is accepted for publication in
Journal of Physics G, Jan., 201