Mass predictions of the relativistic mean-field model with the radial basis function approach

Zheng, Jinzhao; Wang, N. Y.; Wang, Z. Y.; Niu, Zhong-Ming; Niu, Y. F.; Sun, B.

doi:10.1103/physrevc.90.014303

Cited by 49 publications

(31 citation statements)

References 62 publications

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“…For very neutron-rich nuclei, the predictions of various mass models can differ by more than a few mega-electron volts. Hybrid models including the use of the radial basis function approach [125,126], the residual proton-neutron interactions [127], and the systematics of the alpha decay energies [128] can provide highly precise predictions for nuclei near the known mass surface; however, the growth of the intrinsic error for nuclei far from the known region remains a serious problem. In this sense, any reliable experimental data can serve as a critical test of existing mass models and guide their further development.…”

Section: Discussionmentioning

confidence: 99%

Toward precision mass measurements of neutron-rich nuclei relevant to r-process nucleosynthesis

et al. 2015

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The open question of where, when, and how the heavy elements beyond iron enrich our Universe has triggered a new era in nuclear physics studies. Of all the relevant nuclear physics inputs, the mass of very neutron-rich nuclides is a key quantity for revealing the origin of heavy elements beyond iron. Although the precise determination of this property is a great challenge, enormous progress has been made in recent decades, and it has contributed significantly to both nuclear structure and astrophysical nucleosynthesis studies. In this review, we first survey our present knowledge of the nuclear mass surface, emphasizing the importance of nuclear mass precision in r-process calculations. We then discuss recent progress in various methods of nuclear mass measurement with a few selected examples. For each method, we focus on recent breakthroughs and discuss possible ways of improving the weighing of r-process nuclides.

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Section: Discussionmentioning

confidence: 99%

Toward precision mass measurements of neutron-rich nuclei relevant to r-process nucleosynthesis

et al. 2015

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“…The problem accordingly deteriorates the description of nuclear single-neutron separation energies [40]. In this work, we attempt to cure the odd-even deviations found in our previous RBF calculations, which will be presented in Sec.…”

Section: Introductionmentioning

confidence: 99%

“…More details can be found in Ref. [39,40]. In this approach, the solution at point x is represented as a sum of m radial basis functions φ( x − x i ) weighted by an appropriate coefficient ω i , i.e.,…”

Section: Radial Basis Function Approach and Numerical Detailsmentioning

confidence: 99%

“…In addition, as in Refs. [38][39][40], the Euclidean norm is defined to be the distance between nuclei (Z i , N i ) and (Z j , N j ) on the nuclear chart:…”

Section: Radial Basis Function Approach and Numerical Detailsmentioning

confidence: 99%

“…An alternative simple and effective approach to improve the accuracy of mass models is the radial basis function (RBF). Recent works [38][39][40] already demonstrated its ability to improve the description of nuclear masses and the two-neutron severation energies.…”

Section: Introductionmentioning

confidence: 99%

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Improved radial basis function approach with odd-even corrections

et al. 2016

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The radial basis function (RBF) approach has been used to improve the mass predictions of nuclear models. However, systematic deviations exist between the improved masses and the experimental data for nuclei with different odd-even parities of (Z, N ), i.e., the (even Z, even N ), (even Z, odd N ), (odd Z, even N ), and (odd Z, odd N ). By separately training the RBF for these four different groups, it is found that the systematic odd-even deviations can be cured in a large extend and the predictive power of nuclear mass models can thus be further improved. Moreover, this new approach can better reproduce the single-nucleon separation energies. Based on the latest version of Weizsäcker-Skyrme model WS4, the root-mean-square deviation of the improved masses with respect to known data falls to 135 keV, approaching the chaos-related unpredictability limit (∼ 100 keV).

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Ground state properties and potential energy surfaces of 270Hs from multidimensionally-constrained relativistic mean field model

Lü

Zhou

2019

Sci. China Phys. Mech. Astron.

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We study the ground state properties, potential energy curves and potential energy surfaces of the superheavy nucleus 270 Hs by using the multidimensionally-constrained relativistic mean-field model with the effective interaction PC-PK1. The binding energy, size and shape as well as single particle shell structure corresponding to the ground state of this nucleus are obtained. 270 Hs is well deformed and exhibits deformed doubly magic feature in the single neutron and proton level schemes. One-dimensional potential energy curves and two-dimensional potential energy surfaces are calculated for 270 Hs with various spatial symmetries imposed. We investigate in detail the effects of the reflection asymmetric and triaxial distortions on the fission barrier and fission path of 270 Hs. When the axial symmetry is imposed, the reflection symmetric and reflection asymmetric fission barriers both show a double-hump structure and the former is higher. However, when triaxial shapes are allowed the reflection symmetric barrier is lowered very much and then the reflection symmetric fission path becomes favorable. MDC-RMF model, superheavy nuclei, potential energy surface, fission barrier, reflection asymmetry, triaxial deformation PACS number(s): 21.10.-k, 21.60.Jz, 27.90.+b, 23.70.+j Citation: Meng X, Lu B N and Zhou S G, Ground state properties and potential energy surfaces of 270 Hs from multidimensionally-constrained relativistic mean field model, Sci.

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Mass predictions of the relativistic mean-field model with the radial basis function approach

Cited by 49 publications

References 62 publications

Toward precision mass measurements of neutron-rich nuclei relevant to r-process nucleosynthesis

Toward precision mass measurements of neutron-rich nuclei relevant to r-process nucleosynthesis

Improved radial basis function approach with odd-even corrections

Ground state properties and potential energy surfaces of 270Hs from multidimensionally-constrained relativistic mean field model

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