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  • articleNo Access

    HALO STRUCTURE OF 11Li IN A THREE-BODY MODEL

    A three-body model proposed earlier (S. Kumar and V. S. Bhasin, Phys. Rev.C65, 034007 (2002)) to set up the wave function of 11Li is extended to investigate structural properties of 11Li like matter radius, momentum distributions of the halo neutrons and the core(c), and n–n and n–c correlations. The energies and widths of experimentally observed resonant states of 11Li in continuum have been calculated by employing the complex scaling method. The model is further extended to study the β-decay of 11Li to the decay modes: (i) deuteron + 9Li channel and (ii) 11Be* (18.3 MeV) state. The results obtained are found to be in reasonably good agreement with the experimental data.

  • articleNo Access

    CHARGE RADII OF β-STABLE NUCLEI

    In a previous work it was shown that the radius of a nucleus R is determined by the α-cluster structure and can be estimated on the number of α-clusters disregarding the number of excess neutrons. A hypothesis was also made that the radius Rm of a β-stable isotope, which is actually measured at electron scattering experiments, is determined by the volume occupied by the matter of the core plus the volume occupied by the charge of the peripheral α-clusters. In this paper it is shown that the condition Rm = R restricts the number of excess neutrons filling the core to provide the β-stability. The number of peripheral clusters can vary from 1 to 5 and the value of R for heavy nuclei almost does not change, whereas the number of the excess neutrons should change with the number of peripheral clusters to provide the condition of Rm = R. It can explain the path of the β-stability and its width. The radii Rm of the stable isotopes with 12 ≤ Z ≤ 83 and the alpha-decay isotopes with 84 ≤ Z ≤ 116 that are stable to β-decay have been calculated.

  • articleNo Access

    Determination of the pairing-strength constants in the isovector plus isoscalar pairing case

    A method for the determination of the pairing-strength constants, in the neutron–proton (n–p) isovector plus isoscalar pairing case, is proposed in the framework of the BCS theory. It is based on the fitting of these constants to reproduce the experimentally known pairing gap parameters as well as the root-mean-squared (r.m.s) charge radii values. The method is applied to some proton-rich even–even nuclei. The single-particle energies used are those of a deformed Woods–Saxon mean field. It is shown that the obtained value of the ratio GT=0np/GT=1np is of the same order as the ones, arbitrary chosen, of some previous works. The effect of the inclusion of the isoscalar n–p pairing in the r.m.s matter radii is then numerically studied for the same nuclei.