1 / 19

Finite Nuclei and Nuclear Matter in Relativistic Hartree-Fock Approach

Finite Nuclei and Nuclear Matter in Relativistic Hartree-Fock Approach. Long Wenhui 1,2 , Nguyen Van Giai 2 , Meng Jie 1 1 School of Physics, Peking University, China 2 Institut de Physique Nucleaire, Universite Paris-Sud, France. Contents. Introduction and motivations

ebony
Télécharger la présentation

Finite Nuclei and Nuclear Matter in Relativistic Hartree-Fock Approach

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Finite Nuclei and Nuclear Matter in Relativistic Hartree-Fock Approach Long Wenhui 1,2, Nguyen Van Giai 2, Meng Jie 1 1School of Physics, Peking University, China 2Institut de Physique Nucleaire, Universite Paris-Sud, France

  2. Contents • Introduction and motivations • Theoretical Framework • Numerical Calculations • Results and Discussions • Summary

  3. Introduction • Relativistic Hartree-Fock (RHF) • Without self-interactions A. Bouyssy, J.-F. Mathiot, N. V. Giai, S. Marcos, Phys. Rev. C36-380(1987). • With s-meson self-interactions P. Bernardos, V. N. Fomenko, N. V. Giai et. al., Phys. Rev. C48-2665(1993). • With zero-range self-interactions S. Marcos, L. N. Savushkin, V. N. Fomenko et. al., arXiv: nucl-th/0307063. • Advantage of RHF approach • More fundamental theory • Nuclear structure: spin-orbit interaction

  4. Motivations • RMF theory and RHF approach • Hartree  Hartree-Fock • Contributions of p-meson • Pairing force in RHB theory • Proposal: • The effective interactions in RHF approach PK1: PHYSICAL REVIEW C 69, 034319 (2004) • The contributions of p-meson • Different nonlinear mechanism

  5. Lagrangian and Hamiltonian • Lagrangian Density • Hamiltonian Density

  6. Hartree-Fock Approach • y  y0 • Hartree-Fock Trial State • Expectations (see s-meson as representative) • Fierz transformation (n=2, 3, 4)

  7. Radial Dirac Equation • Dirac Equation • G and F separations

  8. Tab. I Effective Interactions • HF(e): (s, w, r and p)HF A. Bouyssy, J.-F. Mathiot, N. V. Giai, S. Marcos, Phys. Rev. C36-380(1987). • HFSI: (s, w, r and p)HF + s self-interactions P. Bernardos, V. N. Fomenko, N. V. Giai et. al., Phys. Rev. C48-2665(1993). • ZRL1: (s, w, r and p)HF + zero-range self-interactions S. Marcos, L. N. Savushkin, V. N. Fomenko et. al., arXiv: nucl-th/0307063.

  9. Observables • Nuclear Matter: r0, K, EB, asym • Binding energies of the following nuclei: 16O, 40Ca, 48Ca, 56Ni, 68Ni, 90Zr, 116Sn, 132Sn, 182Pb, 194Pb, 208Pb Tab. II Bulk Properties of Nuclear Matter

  10. Tab. III Binding energies and charge radii

  11. Fig.1 The binding Energies of Pb isotopes

  12. Fig. 2 Single Particle Energies of 132Sn

  13. Fig. 3 Single Particle Energies of 208Pb

  14. Fig.4 Charge density distributions

  15. Summary • Programs for RHF approach are constructed • New effective interaction PKA with s-, w-, r-mesons and nonlinear high order terms is obtained • Better descriptions for nuclear matter and finite nuclei are obtained. • Perspective • Isotopic shifts • hard equation of state • Contributions of p-meson • Density-dependent RHF

  16. Thank you!

  17. Sigma Field • s-meson field • Hamiltonian for s-meson  

  18. Multipole Expansion of the propagator • Potential Energy and Self-Energy

  19. p-meson • Pseudo-vector coupling • Exchange potential 

More Related