A Global Weizsäcker mass model with relativistic mean field shell correction*

Zhang, Wei; Li, Zhiyuan; Gao, Wei; Sun, T.

doi:10.1088/1674-1137/ac7b18

Cited by 5 publications

(8 citation statements)

References 75 publications

(97 reference statements)

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“…In recent years, there has been extensive theoretical research on hypernuclei, particularly focusing on the simplest single-Λ hypernuclei, using RMF and RHF theories. In this section, we aim to extend the effective interaction DD-LZ1 [61], which has been proven successful and promising in determining the properties of the nuclear structure in both bulk and single-particle aspects, to incorporate the Λ hyperon within the framework of the RMF model. To give a comparative study and illustrate the role of nuclear in-medium effects, the calculations with DD-LZ1 are accompanied by several existing effective interactions within CDF models.…”

Section: Resultsmentioning

confidence: 99%

“…With three distinct fitting approaches, they proposed six new sets of effective interactions and uncovered a significant linear correlation between the ratios and , representing the scalar and vector coupling strengths, respectively, between these effective and interactions. Recently, a new type of DDRMF Lagrangian, DD-LZ1, was proposed, inspired by the restoration of pseudospin symmetry (PSS) and nuclear medium effects [61]. This new effective Lagrangian has produced satisfactory results in describing the properties of nuclear matter and finite nuclei.…”

Section: Nnmentioning

confidence: 99%

“…This new effective Lagrangian has produced satisfactory results in describing the properties of nuclear matter and finite nuclei. With its unique density-dependent form, DD-LZ1 eliminates the spurious shell closures that have appeared in previous RMF calculations and reasonably restores the PSS of the high orbital angular momentum near the Fermi energy [61]. Applications with this new RMF Lagrangian have been achieved for several nuclear many-body characteristics, in both finite nuclei with mass ranging from light to superheavy, and neutron star properties with densities ranging from low to high.…”

Section: Nnmentioning

confidence: 99%

“…Here, the Λ hyperon (namely, taken as ), which is charge-neutral with isospin zero, only takes part in interactions that are spread by isoscalar mesons. The nuclear in-medium effects are introduced phenomenologically via the coupling strengths ( ), which use baryon-density dependent functions in the DDRMF approach to define the strengths of different meson-baryon (mesonnucleon) couplings [61,73].…”

Section: Ddrmf Approach For Spherical Single-λ Hypernucleimentioning

confidence: 99%

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Density-dependent relativistic mean field approach and its application to single-Λ hypernuclei in oxygen hyperisotopes*

Ding 丁,

Yang 杨,

Sun 孙

2023

Chinese Phys. C

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The in-medium feature of nuclear force, which includes both nucleon-nucleon ( ) and hyperon-nucleon ( ) interactions, impacts the description of single-Λ hypernuclei. With the alternated mass number or isospin of hypernuclei, such effects may be unveiled by analyzing the systematic evolution of the bulk and single-particle properties. From a density-dependent meson-nucleon/hyperon coupling perspective, a new effective interaction in the covariant density functional (CDF) theory, namely, DD-LZ1- , is obtained by fitting the experimental data of Λ separation energies for several single-Λ hypernuclei. It is then used to study the structure and transition properties of single-Λ hypernuclei in oxygen hyperisotopes, in comparison with those determined using several selected CDF Lagrangians. A discrepancy is explicitly observed in the isospin evolution of spin-orbit splitting with various effective interactions, which is attributed to the divergence of the meson-hyperon coupling strengths with increasing density. In particular, the density-dependent CDFs introduce an extra contribution to reduce the value but enhance the isospin dependence of the splitting, which originates from the rearrangement terms of Λ self-energies. In addition, the characteristics of hypernuclear radii are studied along the isotopic chain. Owing to the impurity effect of the Λ hyperon, a size shrinkage is observed in the matter radii of hypernuclei compared with the cores of normal nuclei, and its magnitude is further elucidated to correlate with the incompressibility of nuclear matter. Moreover, there is a sizable model-dependent trend in which the Λ hyperon radii evolve with neutron number, which is decided partly by the in-medium interactions and core polarization effects.

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Section: Resultsmentioning

confidence: 99%

Section: Nnmentioning

confidence: 99%

Section: Nnmentioning

confidence: 99%

Section: Ddrmf Approach For Spherical Single-λ Hypernucleimentioning

confidence: 99%

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Density-dependent relativistic mean field approach and its application to single-Λ hypernuclei in oxygen hyperisotopes*

Ding 丁,

Yang 杨,

Sun 孙

2023

Chinese Phys. C

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“…In addition, binding energies are essential inputs for superheavy nuclei syntheses [7] and nuclear astrophysical studies [8], e.g., the r-process ( [9,10]), X-ray bursts [11], and etc. Therefore, reliable theoretical predictions and experimental measurements of nuclear binding energies have always been at the frontier of nuclear physics [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Nuclear binding energies in artificial neural networks

Zeng¹,

Yin²,

Dong³

et al. 2022

Preprint

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The binding energy (BE) or mass is one of the most fundamental properties of an atomic nucleus. Precise binding energies are vital inputs for many nuclear physics and nuclear astrophysics studies. However, due to the complexity of atomic nuclei and of the non-perturbative strong interaction, up to now, no conventional physical model can describe nuclear binding energies with a precision below 0.1 MeV, the accuracy needed by nuclear astrophysical studies. In this work, artificial neural networks (ANNs), the so called "universal approximators", are used to calculate nuclear binding energies. We show that the ANN can describe all the nuclei in AME2020 with a root-mean-square deviation (RMSD) around 0.2 MeV, which is better than the best macroscopic-microscopic models, such as FRDM and WS4. The success of the ANN is mainly due to the proper and essential input features we identify, which contain the most relevant physical information, i.e., shell, paring, and isospin-asymmetry effects. We show that the well-trained ANN has excellent extrapolation ability and can predict binding energies for those nuclei so far inaccessible experimentally. In particular, we highlight the important role played by "feature engineering" for physical systems where data are relatively scarce, such as nuclear binding energies.

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