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Spherical Relativistic Hartree theory in a Woods-Saxon basis

Shan-Gui Zhou Jie Meng P. RingSubjects: Physics >> Nuclear Physics

The Woods-Saxon basis has been suggested to replace the widely used harmonic oscillator basis for solving the relativistic mean field (RMF) theory in order to generalize it to study exotic nuclei. As examples, relativistic Hartree theory is solved for spherical nuclei in a Woods-Saxon basis obtained by solving either the Schro ?dinger equation or the Dirac equation (labelled as SRHSWS and SRHDWS, respectively and SRHWS for both). In SRHDWS, the negative levels in the Dirac Sea must be properly included. The basis in SRHDWS could be smaller than that in SRHSWS which will simplify the deformed problem. The results from SRHWS are compared in detail with those from solving the spherical relativistic Hartree theory in the harmonic oscillator basis (SRHHO) and those in the coordinate space (SRHR). All of these approaches give identical nuclear properties such as total binding energies and root mean square radii for stable nuclei. For exotic nuclei, e.g., 72Ca, SRHWS satisfactorily reproduces the neutron density distribution from SRHR, while SRHHO fails. It is shown that the Woods-Saxon basis can be extended to more complicated situations for exotic nuclei where both deformation and pairing have to be taken into account. |

submitted time
2017-08-22
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Spin symmetry in the anti-nucleon spectrum

Shan-Gui Zhou Jie Meng P. RingSubjects: Physics >> Nuclear Physics

We discuss spin and pseudo-spin symmetry in the spectrum of single nucleons and single anti- nucleons in a nucleus. As an example we use relativistic mean field theory to investigate single anti-nucleon spectra. We find a very well developed spin symmetry in single anti-neutron and single anti-proton spectra. The dominant components of the wave functions of the spin doublet are almost identical. This spin symmetry in anti-particle spectra and the pseudo-spin symmetry in particle spectra have the same origin. However it turns out that the spin symmetry in anti-nucleon spectra is much better developed than the pseudo-spin symmetry in normal nuclear single particle spectra. |

submitted time
2017-08-22
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D? (2317)+ : a P state from the light cone harmonic oscillator model?

han-Gui Zhou; Hans-Christian PauliSubjects: Physics >> Nuclear Physics

We show that the mass of the recently found meson, Ds?J(2317)+ could be reproduced by an effective light cone Hamiltonian model with a harmonic oscillator potential as confinement — the light cone harmonic oscillator model. |

MESON SPECTRA FROM AN EFFECTIVE LIGHT CONE QCD-INSPIRED MODEL

Shan-Gui ZhouSubjects: Physics >> Nuclear Physics

I present some recent applications of a light cone QCD-inspired model with the mass squared operator consisting of a harmonic oscillator potential as con- finement in the meson spectra. The model gives an universal and satisfactory description of both singlet and triplet states of S-wave mesons. In the present work P -wave Ds mesons are also investigated. The mass of the recently found meson, Ds?J (2317)+ is reproduced fairly well by this simple model. |

Subjects: Physics >> Nuclear Physics

New parameter sets for the Lagrangian density in the relativistic mean field (RMF) theory, PK1 with nonlinear σ- and ω-meson self-coupling, PK1R with nonlinear σ-, ω- and ρ-meson self-coupling and PKDD with the density-dependent meson-nucleon coupling, are proposed. They are able to provide an excellent description not only for the properties of nuclear matter but also for the nuclei in and far from the valley of beta-stability. For the first time in the parametrization of the RMF Lagrangian density, the center-of-mass correction is treated by a microscopic way, which is essential to unify the description of nuclei from light to heavy regions with one effective interaction. |

Subjects: Physics >> Nuclear Physics

The critical point nuclei in Sm isotopes, which marks the first order phase transition between spherical U(5) and axially deformed shapes SU(3), have been investigated in the microscopic quadrupole constrained relativistic mean field (RMF) model plus BCS method with all the most used interactions, i.e., NL1, NL3, NLSH and TM1. The calculated potential energy surfaces show a clear shape transition for the even-even Sm isotopes with N = 82 ? 96 and the critical point nuclei are found to be 148Sm, 150Sm and 152Sm. Similar conclusions can also be drawn from the microscopic neutron and proton single particle spectra. |

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