The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk properties

We propose a newly optimized nonlinear point-coupling parameterized interaction, PC-L3R, for the relativistic Hartree-Bogoliubov framework with a further optimized separable pairing force by fitting to observables, i.e., the binding energies of 91 spherical nuclei, charge radii of 63 nuclei, and 12...

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Main Authors: Zi Xin Liu, Yi Hua Lam, Ning Lu, Peter Ring
Format: Article
Language:English
Published: Elsevier 2023-07-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323002800
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author Zi Xin Liu
Yi Hua Lam
Ning Lu
Peter Ring
author_facet Zi Xin Liu
Yi Hua Lam
Ning Lu
Peter Ring
author_sort Zi Xin Liu
collection DOAJ
description We propose a newly optimized nonlinear point-coupling parameterized interaction, PC-L3R, for the relativistic Hartree-Bogoliubov framework with a further optimized separable pairing force by fitting to observables, i.e., the binding energies of 91 spherical nuclei, charge radii of 63 nuclei, and 12 sets of mean pairing gaps consisting of 54 nuclei in total. The separable pairing force strengths of proton and neutron are optimized together with the point-coupling constants, and are justified in satisfactory reproducing the empirical pairing gaps. The comparison of experimental binding energies compiled in AME2020 for 91 nuclei with the ones generated from the present and other commonly used point-coupling interactions indicates that the implementation of PC-L3R in relativistic Hartree-Bogoliubov yields the lowest root-mean-square deviation. The charge radii satisfactory agree with experiment. Meanwhile, PC-L3R is capable of estimating the saturation properties of the symmetric nuclear matter and of appropriately predicting the isospin and mass dependence of binding energy. The experimental odd-even staggering of single nucleon separation energies is well reproduced. The comparison of the estimated binding energies for 7,373 nuclei based on the PC-L3R and other point-coupling interactions is also presented.
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spelling doaj.art-9c32d1e5f1dc41cabe197d81d387b25a2023-06-08T04:18:37ZengElsevierPhysics Letters B0370-26932023-07-01842137946The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk propertiesZi Xin Liu0Yi Hua Lam1Ning Lu2Peter Ring3Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, People's Republic of China; School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China; School of Physics Science and Technology, Lanzhou University, Lanzhou 730000, People's Republic of China; Corresponding authors.Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, People's Republic of China; School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China; Corresponding authors.Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, People's Republic of China; School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China; School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, People's Republic of ChinaFakultät für Physik, Technische Universität München, D-85748 Garching, GermanyWe propose a newly optimized nonlinear point-coupling parameterized interaction, PC-L3R, for the relativistic Hartree-Bogoliubov framework with a further optimized separable pairing force by fitting to observables, i.e., the binding energies of 91 spherical nuclei, charge radii of 63 nuclei, and 12 sets of mean pairing gaps consisting of 54 nuclei in total. The separable pairing force strengths of proton and neutron are optimized together with the point-coupling constants, and are justified in satisfactory reproducing the empirical pairing gaps. The comparison of experimental binding energies compiled in AME2020 for 91 nuclei with the ones generated from the present and other commonly used point-coupling interactions indicates that the implementation of PC-L3R in relativistic Hartree-Bogoliubov yields the lowest root-mean-square deviation. The charge radii satisfactory agree with experiment. Meanwhile, PC-L3R is capable of estimating the saturation properties of the symmetric nuclear matter and of appropriately predicting the isospin and mass dependence of binding energy. The experimental odd-even staggering of single nucleon separation energies is well reproduced. The comparison of the estimated binding energies for 7,373 nuclei based on the PC-L3R and other point-coupling interactions is also presented.http://www.sciencedirect.com/science/article/pii/S0370269323002800Nuclear density functional theoryRelativistic Hartree-BogoliubovPoint-coupling interactionsBinding energies and massesCharge distributionSaturation properties of nuclear matter
spellingShingle Zi Xin Liu
Yi Hua Lam
Ning Lu
Peter Ring
The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk properties
Physics Letters B
Nuclear density functional theory
Relativistic Hartree-Bogoliubov
Point-coupling interactions
Binding energies and masses
Charge distribution
Saturation properties of nuclear matter
title The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk properties
title_full The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk properties
title_fullStr The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk properties
title_full_unstemmed The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk properties
title_short The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk properties
title_sort optimized point coupling interaction for the relativistic energy density functional of hartree bogoliubov approach quantifying the nuclear bulk properties
topic Nuclear density functional theory
Relativistic Hartree-Bogoliubov
Point-coupling interactions
Binding energies and masses
Charge distribution
Saturation properties of nuclear matter
url http://www.sciencedirect.com/science/article/pii/S0370269323002800
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