Novel ansatz for charge radii in density functional theories

An, Rong; Geng, Li-Sheng; Shi-sheng, Zhang

doi:10.1103/physrevc.102.024307

Cited by 27 publications

(38 citation statements)

References 36 publications

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“…Ref. [44], the modified formula includes similar expression, ∝ 1/ √ A, to capture the OES in charge radii. Thus the modified term which includes the form g × (−1) o,e / √ A is introduced into these analytical expressions.…”

Section: Resultsmentioning

confidence: 99%

“…Many nuclear phenomena can be described well by the covariant density functional theory (CDFT) [52][53][54][55][56][57][58][59][60][61][62]. The recently developed ansatz based on the non-linear Lagrangian density was employed to focus on the evolution of nuclei size [44]. The semi-microscopic correction term was introduced into nuclear charge radii formula.…”

Section: Rmf(bcs) * Approachmentioning

confidence: 99%

“…The modified term whose presence in this expression is firstly mandatory for describing the odd-even oscillations of nuclear charge radii along calcium and potassium isotopic chains [44,65]. Besides, the abrupt changes of nuclear charge radii across shell closures can also be reproduced well [66].…”

Section: Rmf(bcs) * Approachmentioning

confidence: 99%

“…This introduced term is obtained self-consistently by resolving the state-dependent BCS equations with a δ-force interaction [30]. The pairing strength V 0 = 322.8 MeV fm 3 is employed for all calculations [44]. NL3 force is especially favorable to the calculation of charge radii along a long isotopic chain [67].…”

Section: Rmf(bcs) * Approachmentioning

confidence: 99%

“…The deduced relation coming from the α-decay properties [43] and the recently developed RMF(BCS) * approach [44] are also employed to investigate the evolution of nuclear charge radii.…”

Section: Introductionmentioning

confidence: 99%

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Local variations of charge radii for nuclei with even $Z$ from 84 to 120

An¹,

Dong²,

Li³

et al. 2021

Preprint

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In this work, the evolution of nuclear charge radii along even Z = 98 − 120 isotopes are systematically investigated by various approaches. The new parametrization sets based on liquid drop model (LDM) formulas are proposed by covering the shell closure effect at N = 126 and odd-even staggering (OES) in calibration procedure. In comparison with available database, highorder neutron-proton asymmetry may be indispensable in fitting protocol. The fitted formula within theoretical uncertainty below 0.02 fm is used to make extrapolative calculations. Results obtained by the deduced relationship associating to α-decay properties and the modified charge radius formula in relativistic mean field (RMF) model are also employed to make reinforce. The latter shows that the abrupt change of nuclear charge radii emerges apparently across N = 184 shell closure. In addition, the abrupt jumps at N = 146 and 200 are also disclosed remarkably due to the large deformation. These different methods give comparable predictions of nuclear charge radii for 286,288 Fl, 290,292 Lv and 288−310 120 isotopes.

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Section: Resultsmentioning

confidence: 99%

Section: Rmf(bcs) * Approachmentioning

confidence: 99%

Section: Rmf(bcs) * Approachmentioning

confidence: 99%

Section: Rmf(bcs) * Approachmentioning

confidence: 99%

“…The deduced relation coming from the α-decay properties [43] and the recently developed RMF(BCS) * approach [44] are also employed to investigate the evolution of nuclear charge radii.…”

Section: Introductionmentioning

confidence: 99%

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