Abstract
A new Skyrme functional has been developed with tensor term guided by ab initio relativistic Brueckner-Hartree-Fock (RBHF) studies on neutron-proton drops. Instead of extracting information on the tensor force from experimental single-particle energy splittings, the RBHF calculations do not contain beyond mean-field effects such as particle-vibration coupling and therefore the information on the tensor force can be obtained without ambiguities. The new functional gives a good description of nuclear ground-state properties aswell as various giant resonances. The description for the evolution of single-particle energy splittings is also improved by the new functional.
Highlights
Nuclear density functional theory is a powerful tool to describe various nuclear phenomena along a large part of the nuclear chart [1, 2]
In order to extract the information of neutron-proton tensor force we have extended the study to neutron-proton drops, which is an ideal system confined in an external field without consideration of center-of-mass correction nor Coulomb interaction [18]
We developed a new Skyrme functional, SAMi-T, with tensor term by fitting to the evolution of s.o. splittings of the neutron-proton drops calculated by relativistic Brueckner-Hartree-Fock (RBHF) [18]
Summary
Nuclear density functional theory is a powerful tool to describe various nuclear phenomena along a large part of the nuclear chart [1, 2]. When constructing the functional by fitting its parameters against bulk properties such as binding energies and charge radii, tensor force plays relatively small role and is difficult to be determined. Even though it shows important effects in describing the evolution of single-particle levels along isotopic (or isotonic) chains [4,5,6,7,8,9,10], it is very much mixed with the beyond-mean-field effect, such as particle-vibration coupling [11]. It provides a important guide to constrain the tensor force in the nuclear energy density functional.
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