Recent Progress in Relativistic Many-Body Approach

Ban, Shufang; Geng, Li-Sheng; Liu, Lang; Long, Wen Hui; Meng, J.; Peng, J.; Yao, J. M.; Zhang, S. Q.; Zhou, Shan‐Gui

doi:10.1142/s0218301306005010

Cited by 2 publications

(1 citation statement)

References 45 publications

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“…While the exchange terms due to the Pauli principle are ignored in the usual RMF approaches, relativistic Hartree-Fock calculations were implemented relatively recently. 93,94 Despite advantages and progress, the anti-nucleon degrees of freedom (d.o.f.) bring complication in the RMF approaches and their extensions.…”

Section: History Of Effective Interactions For Scmf Calculations: Bia...mentioning

confidence: 99%

Properties of exotic nuclei and their linkage to the nucleonic interaction

Nakada

2020

Int. J. Mod. Phys. E

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The structure of exotic nuclei sheds new light on the linkage of the nuclear structure to the nucleonic interaction. The self-consistent mean-field (SCMF) theories are useful to investigate this linkage, which are applicable to many nuclei covering almost the whole range of the nuclear chart without artificial truncation of model space. For this purpose, it is desired to develop effective interaction for the SCMF calculations well connected to the bare nucleonic interaction. Focusing on ground-state properties, I show results of the SCMF calculations primarily with the M3Y-type semi-realistic interaction, M3Y-P6 and M3Y-P6a to be precise, and discuss in detail how the nucleonic interaction affects structure of nuclei including those far off the β-stability.The central channels of the effective interaction are examined by the properties of the infinite nuclear matter up to the spin-and the isospin-dependence. While experimental information of the infinite matter is obtained by extrapolating systematic data on finite nuclei in principle, it is not easy to constrain the spin-and the isospin-dependence without connection to the bare nucleonic interaction. The non-central channels play important roles in the shell structure of the finite nuclei. The tensor force is demonstrated to affect Z-or N -dependence of the shell structure and the magic numbers, on which the spin-isospin channel in the central force often acts cooperatively. By using the M3Y-P6 interaction, the prediction of magic numbers is given in a wide range of the nuclear chart, which is consistent with almost all the available data. In relation to the erosion of magic numbers in unstable nuclei, effects of the tensor force on the nuclear deformation are also argued, being opposite between nuclei at the s-and the jj-closed magicities. Qualitatively consistent with the 3N -force effect on the s-splitting suggested based on the chiral effective field theory, the density-dependent LS channel, which is newly introduced in M3Y-P6a, reproduces the observed kinks in the differential charge radii at the jj-closed magic numbers and predicts anti-kinks at the s-closed magic numbers. The pairing correlation has significant effects on the halos near the neutron drip line. A new mechanism called 'unpaired-particle haloing' is disclosed.

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Section: History Of Effective Interactions For Scmf Calculations: Bia...mentioning

confidence: 99%