Abstract

First results are reported on the ground state configurations of the neutron-rich 29,30^{29,30}Na 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^{208}Pb 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)(7) mb and 167 (13)(13) mb up to excitation energy of 10 MeV for one neutron removal from 29^{29}Na and 30^{30}Na 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 29^{29}Na(3/2+){(3/2^+)} and 30^{30}Na(2+){(2^+)} is the dd orbital with small contribution in the ss-orbital which are coupled with ground state of the core. The ground state configurations of these nuclei are as 28^{28}Na_{gs (1^+)\otimes\nu_{s,d} and 29^{29}Nags(3/2+)νs,d_{gs}(3/2^+)\otimes\nu_{ s,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 ss and dd 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 30^{30}Na.Comment: Modified version of the manuscript is accepted for publication in Journal of Physics G, Jan., 201

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