With the relativistic Coulomb wave function boundary condition, the energies, widths and wave functions of the single-proton resonant orbitals for Ne-17 are studied by the analytical continuation in the coupling constant (ACCC) approach within the framework of the relativistic mean field (RMF) theory. Pairing correlations and contributions from the single-particle resonant orbitals in the continuum are taken into consideration by the resonant Bardeen-Cooper-Schrieffer (BCS) approach, in which the constant pairing strength is used. It can be seen that the fully self-consistent calculations with NL3 and NLSH effective interactions mostly agree with the latest experimental measurements, such as binding energies, matter radii, charge radii and densities. The energy of the pi 2s(1/2) orbital is slightly higher than that of the pi 1d(5/2) orbital, and the occupation probability of the (pi 2s(1/2))(2) orbital is about 20%, which is in accordance with the shell model calculation and three-body model estimation.

pdf/theoretical-study-of-the-two-proton-halo-candidate-17ne-1oupqbdg62.pdf

Theoretical study of the two-proton halo candidate 17Ne including contributions from resonant continuum and pairing correlations

Quasielastic scattering of $^{6}\mathrm{He}$ on a $^{12}\mathrm{C}$ target was measured at 82.3 MeV/nucleon. Special care was taken to treat the background subtraction at very small angles. The measured differential cross-sections show a large enhancement at small angles relative to the Rutherford cross-section, similar to those observed at lower energies for the scattering of halo nuclei. The overall structure of the cross-section is reasonably reproduced by the optical model calculations. The inelastic channels which populate two low-lying excited states of $^{12}\mathrm{C}$ target nucleus were included in the framework of the coupled channel analysis. Further systematic theoretical analysis is encouraged.

Quasielastic scattering of He6 from C12 at 82.3 MeV/nucleon

Nuclear magnetic moment is highly sensitive to the underlying structure of atomic nuclei and therefore serves as a stringent test of nuclear models. The advanced nuclear structure models have been successful in analyzing many nuclear structure properties, but they still cannot provide a satisfactory description of nuclear magnetic moments. Recently attempts to summarize the present understanding on nuclear magnetic moments in both relativistic and non-relativistic theoretical models have been made. The detailed contents are covered in the issue entitled "Nuclear magnetic moments and related topics" (in Sci China Phys Mech Astron, Vol. 54, No. 2, 2011). In this paper some of the related achievements will be highlighted.

https://link.springer.com/content/pdf/10.1007%2Fs11434-012-5491-6.pdf

Recent progress in theoretical studies of nuclear magnetic moments

Charge form factors for N=82 and N=126 isotonic nuclei are calculated with the relativistic eikonal approximation, in which the charge density distributions are from the relativistic mean-field theory. The variations of charge form factors with proton number are discussed in detail. It is found that the most sensitive parts of the charge form factors are those around the minimums and maximums. For an increasing proton number, the charge form factors near the extrema have an upward shift. As the protons increase and occupy a new shell, the minimums and maximums of the charge form factors could also have a significant inward shift. The results can be useful for the study of behaviors of valence-proton wave functions for such nuclei as can be considered as a core plus proton(s), and thus the proton-halo phenomenon. In addition, the results can also be useful for future electron-unstable nucleus scattering experiments and provide tests of the reliability of the relativistic mean-field theory for the unstable nuclei.

Charge density distributions and charge form factors of the N=82 and N=126 isotonic nuclei

The triaxiality in nuclear low-lying states has attracted great interests for many years. Recently, the reduced transition probabilities for levels near the ground state in $^{110}$Ru have been measured and provided strong evidences for a triaxial shape of this nucleus. The aim of this work is to provide a microscopic study of low-lying states for the Ru isotopes with $A\sim100$ and to examine in detail the role of triaxiality, and the evolution of quadrupole shapes with the isospin and spin degrees of freedom. The low-lying excitation spectra and transition probabilities of even-even Ru isotopes are described at the beyond mean-field level by solving a five-dimensional collective Hamiltonian with parameters determined by constrained self-consistent mean-field calculations based on the relativistic energy density functional PC-PK1. The calculated energy surfaces, low-energy spectra, intraband and interband transition rates, as well as some characteristic collective observables, such as $E(4_{\rm g.s.}^+)/E(2^+_{\rm g.s.})$, $E(2^+_\gamma)/E(4^+_{\rm g.s.})$, $B(E2; 2^+_{\rm g.s.}\to 0^+_{\rm g.s.})$, and $\gamma$ band staggerings are in a good agreement with the available experimental data. The main features of the experimental low-lying excitation spectra and electric transition rates are well reproduced, and thus strongly support the onset of triaxiality in the low-lying excited states of the Ru isotopes around $^{110}$Ru.

Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory

Differential cross sections for the quasielastic scattering of a 25 MeV/nucleon $^{6}\mathrm{He}$ on a $^{9}\mathrm{Be}$ target have been measured. A double-folding model approach has been applied to generate the real part of the optical potential. An optical model analysis has been carried out to study the potential parameters by optimally fitting the experimental angular distribution. In the context of the coupled-channel calculation the contribution of the inelastic channels to the experimental data has been found to be small. The effect of the unstable property of the $^{6}\mathrm{He}$ nucleus is discussed.

Quasielastic scattering of He 6 on Be 9 at 25 MeV/nucleon

Shape evolutions in the neutron-rich Ru isotopes were investigated using the cranked shell model and an excellent agreement was obtained in comparison with the experimental data. These results show that the cranked shell model with nonaxial deformed Woods-Saxon potential can provide a good description of the shape evolution in the neutron-rich Ru isotopes in terms of not only neutron number but also angular momentum.

Shape evolutions in the neutron-rich Ru isotopes

Differential cross sections for quasi-elastic scattering, breakup reaction as well as 1n- and 2n-transfer reactions induced by 6He at 25 MeV/nucleon from a 9Be target are reported. The experimental data were analysed in the context of the coupled-channel calculations. The internal structure of 6He is discussed and further studies are proposed.

Study of the halo nucleus 6He through the direct nuclear reactions

Quasielastic scattering of 6he on 9Be at 25 MeV/nucleon

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Quasielastic scattering of He 6 on Be 9 at 25 MeV/nucleon

Shape evolutions in the neutron-rich Ru isotopes

Study of the halo nucleus 6He through the direct nuclear reactions

Quasielastic scattering of 6he on 9Be at 25 MeV/nucleon