Nuclear mass predictions with a radial basis function approach

Wang, Ning; Liu, Min

doi:10.1103/physrevc.84.051303

Cited by 135 publications

(127 citation statements)

References 17 publications

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“…masses of known neighboring nuclei, such as the Garvey-Kelson relations [24], the isobaric multiplet mass equation [25,26], the residual proton-neutron interactions [27,28] and the image reconstruction technique (like the CLEAN algorithm [29] and the radial basis function method [30,31]). The main difficulty of the local mass formulas is that the model errors rapidly increase for nuclei far away from the measured nuclei.…”

Section: Fig 1 (Color Online) Nuclear Landscape the Black And Greementioning

confidence: 99%

Systematic study of shell gaps in nuclei

Liu

Wang

2014

Phys. Rev. C

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The nucleon separation energies and shell gaps in nuclei over the whole nuclear chart are systematically studied with eight global nuclear mass models. For unmeasured neutron-rich and super-heavy regions, the uncertainty of the predictions from these different mass models is still large. The latest version (WS4) of the Weizsäcker-Skyrme mass formula, in which the isospin dependence of model parameters is introduced into the macroscopic-microscopic approach inspired by the Skyrme energy-density functional, is found to be the most accurate one in the descriptions of nuclear masses, separation energies and shell gaps. Based on the predicted shell gaps in nuclei, the possible magic numbers in super-heavy nuclei region are investigated. In addition to the shell closures at N = 184, Z = 114, the sub-shell closures at around N = 178, Z = 120 could also play a role for the stability of super-heavy nuclei. * wangning@gxnu.edu.cn

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Section: Fig 1 (Color Online) Nuclear Landscape the Black And Greementioning

confidence: 99%

Systematic study of shell gaps in nuclei

Liu

Wang

2014

Phys. Rev. C

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“…Another highlight of local mass relations that has been extensively investigated in the last few years is the residual proton-neutron interactions [92][93][94]. With the help of local mass relations, the accuracy and predictive power of some global mass models can be significantly improved [95].…”

Section: Some Related Topicsmentioning

confidence: 99%

Recent progress in theoretical studies of nuclear magnetic moments

Zhao

2012

Chin. Sci. Bull.

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Nuclear magnetic moment is highly sensitive to the underlying structure of atomic nuclei and therefore serves as a stringent test of nuclear models. The advanced nuclear structure models have been successful in analyzing many nuclear structure properties, but they still cannot provide a satisfactory description of nuclear magnetic moments. Recently attempts to summarize the present understanding on nuclear magnetic moments in both relativistic and non-relativistic theoretical models have been made. The detailed contents are covered in the issue entitled "Nuclear magnetic moments and related topics" (in Sci China Phys Mech Astron, Vol. 54, No. 2, 2011). In this paper some of the related achievements will be highlighted. nuclear magnetic moments, status and progress, relativistic and non-relativistic many-body models Citation: Zhao E G. Recent progress in theoretical studies of nuclear magnetic moments. Chin Sci Bull, 2012Bull, , 57: 4394-4399, doi: 10.1007 Nuclear magnetic moment is an important physical observable that reflects the interplay between collective and singleparticle degrees of freedom in atomic nuclei. It therefore provides a stringent test of various nuclear structure models. A concise but interesting history and present understanding of nuclear magnetic moments have been provided in [1].Since the successes of the nuclear shell model established in 1949 by Mayer and Jensen for the explanation of the magic numbers (Z or N = 2, 8, 20, 28, 50, 82, . . . ), the understanding of the magnetic moment of an odd-A nucleus has been done in the extreme single-particle picture which leads to the well known Schmidt values [2]. It was observed in the early 1950s [3], however, that almost all nuclear magnetic moments are sandwiched between the two Schmidt lines.The pion, predicted by Yukawa in 1935, and discovered experimentally by Powell in 1947, was pointed out to be very important for understanding nuclear magnetic moments by Miyazawa in 1951 [4] and by Villars in 1952 [5] via the one-pion exchange currents, which can be understood as a medium correction in comparison with the free nuclear magnetic moments. Besides the pion effect, the first-order configuration mixing was pointed out to be also important in the email: egzhao@mail.itp.ac.cn odd-A nuclei with a j j-closed core by Arima and Horie in 1954 [6,7]. This effect is also called the first-order core polarization or Arima-Horie effect. However, for the nuclei with a LS -closed core ± 1 nucleon, the first-order configuration mixing does not contribute to nuclear magnetic moments. In order to understand the difference between Schmidt values and experiment data in this type of nuclei, it was realized that one has to take into account the second-order configuration mixing, which is also called the tensor correlation. The isoscalar magnetic moments provide us the best evidence of the tensor correlations. There were also lots of discussion on whether the Δ-hole mixing can explain the magnetic moments [8][9][10].In the past decades, covariant density functio...

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“…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%

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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Nuclear mass predictions with a radial basis function approach

Cited by 135 publications

References 17 publications

Systematic study of shell gaps in nuclei

Systematic study of shell gaps in nuclei

Recent progress in theoretical studies of nuclear magnetic moments

Improved radial basis function approach with odd-even corrections

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