The Nature Of Nuclear Tensor Force Within Relativistic Hartree-Fock Theory

In relativistic Hartree-Fock(RHF)theory,it has been illustrated that the important ingredient of nuclear force — tensor force is enclosed naturally in the Fock terms of nuclear energy density functional.Within the scheme of RHF theory,in order to completely extract the tenor force components naturally introduced by the Fock terms,the relativistic formalism of nuclear tensor force corresponding to the scalar coupling channel is implemented in the thesis,based on the existing relativistic representation of nuclear tensor force.Moreover,the nature of nuclear tensor force in realistic nuclei is explored systematically with the implemented relativistic representation.Taking the doubly magic nuclei48 Ca as the candidate,the contributions from the tensor force components in Fock term to the spin-orbit splitting are extracted with the existing relativistic formalism of the nuclear tensor interaction,and the original wave functions are determined by self-consistent DDRHF calculations.After deducting the tensor force contribution in ?-S channel,the Fock term shows obvious spin dependence,indicating that the existing relativistic representation fail in completely extracting the tenor force components in Fock terms.For this reason,the higher rank Lorentz tensor couplings is supplemented to the exiting relativistic representation of the tensor force component in?-S channel.It shows that the implemented tensor force in ?-S channel completely extracts the tenor force components naturally introduced by the Fock terms with the original wave functions determined by self-consistent DDRHF calculations,while the center part in Fock term shows spin-independence after the tensor part deducted.Moreover,the tensor force in other meson-nucleon coupling channels have completely quantified with the relativistic formally.Unlike the center force components,the tensor interaction reveals characteristic spin-dependent feature,which concrete expression to the fulfillment of the tensor sum rule with the tensor interaction matrix elements.To further understand the nuclear tensor force,the tensor sum rules are then tested for the spin and pseudo-spin partners with/without nodes in doubly magic nuclei48 Ca,208Pb and the semi-magic one90 Zr with the self-consistent DDRHF functional PKA1.It shows that the coupling between two components of nucleon spinors brings distinct violations on the tensor sum rules in realistic nuclei,due to the opposite parity and sign on ? quantities of the upper and lower components originating from the relativistic feature of nucleon Dirac spinors.Moreover,if one neglects the lower/upper components of nucleon spinors for the spin/pseudo-spin partners,the sum rules can be fulfilled properly,and can be precisely reproduced if,in addition,the same radial wave functions are taken for the spin/pseudo-spin partners.It worth noting that the tensor sum rule in pseudo-spin partners is verified only in the relativistic formalism,illustrating the validity of the relativistic formalism of nuclear tensor forces as well.