径向基函数方法在原子核质量预言中的应用

广西师范大学学报（自然科学版） ›› 2012, Vol. 30 ›› Issue (3): 59-63.

径向基函数方法在原子核质量预言中的应用

王宁, 刘敏

广西师范大学物理科学与技术学院,广西桂林541004

收稿日期:2012-07-13 出版日期:2012-09-20 发布日期:2018-12-04
通讯作者: 王宁(1976—),男,陕西淮南人,广西师范大学教授。E-mail:wangning@gxnu.edu.cn
作者简介:王宁,广西师大物理科学与技术学院教授,主要从事原子核物理研究工作,包括重离子熔合反应、微观动力学输运理论、超重核合成以及原子核结构等。
基金资助:
国家自然科学基金资助项目(11275052)

Application of Radial Basis Function Approach on Nuclear Mass Predictions

WANG Ning, LIU Min

College of Physical Science and Technology,Guangxi Normal University,Guilin Guangxi 541004,China

Received:2012-07-13 Online:2012-09-20 Published:2018-12-04

摘要/Abstract

摘要： 结合径向基函数方法,我们将常用的几种原子核质量模型的精度提高了约10%~40%。留一交叉验证与AME03-11测试表明径向基函数方法是一种非常强大并且实用的工具。考虑径向基函数修正后,原子核质量模型能够更好地描述实验新测量原子核质量的数据。这一工作对于核天体物理、超重核合成及原子核对称能等方面的研究具有很高的应用价值。

关键词: 原子核质量, 径向基函数, 超重核, 核天体物理

Abstract: Combining the radial basis function (RBF) approach,the accuracy and predictivepower of some global nuclear mass models are significantly improved.The root-mean-square deviation between the experimental data for 2 149 known masses and predictions from four models falls to ～200 keV.The leave-one-out cross validationand AME03-11 tests show that the RBF approach is a very powerful and useful toolfor further improving the reliability of mass models.The RBF corrections for some global nuclear mass models are also presented,which is helpful for evaluating model errors and improving model accuracy.

Key words: nuclear mass, radial basis function, super heavy nuclei, nuclear aserophysics

中图分类号:

O571

王宁, 刘敏. 径向基函数方法在原子核质量预言中的应用[J]. 广西师范大学学报（自然科学版）, 2012, 30(3): 59-63.

WANG Ning, LIU Min. Application of Radial Basis Function Approach on Nuclear Mass Predictions[J]. Journal of Guangxi Normal University(Natural Science Edition), 2012, 30(3): 59-63.

参考文献

[1] MÖLLER P,NIX J R,MYERS W D,et al.Nuclear ground-state masses and deformations[J].At Data Nucl Data Tables,1995,59(2):185-381.
[2] WANG Ning,LIU Min,WU Xi-zhen.Modification of nuclear mass formulaby considering isospin effects[J].Phys Rev C,2010,81(4):044322.
[3] WANG Ning,LIANG Zuo-ying,LIU Min,et al.Mirror nuclei constraint in nuclear mass formula[J].Phys Rev C,2010,82(4):044304.
[4] LIU Min,WANG Ning,DENG Yang-ge,et al.Further improvements on a global nuclear mass model[J].Phys Rev C,2011,84(1):014333.
[5] GORIELY S,CHAMEL N,PEARSON J M.Skyrme-hartree-fock-bogoliubovnuclear mass formulas:crossing the 0.6 MeV accuracy threshold with microscopicallydeduced pairing[J].Phys Rev Lett,2009,102(15):152503.
[6] DUFLO J,ZUKER A P.Microscopic mass formulas[J].Phys Rev C,1995,52(1):23-27.
[7] ORMAND W E.Mapping the proton drip line up to A=70[J].Phys Rev C,1997,55(5):2407-2417.
[8] BAREA J,FRANK A,HIRSCH J G,et al.Garvey-Kelson relations and thenew nuclear mass tables[J].Phys Rev C,2008,77(4):041304.
[9] FU G J,JIANG Hui,ZHAO Y M,et al.Nuclear binding energies and empirical proton-neutron interactions[J].Phys Rev C,2010,82(3):034304.
[10] AUDI G,WAPSTRA A H,THIBAULT C.The AME2003 atomic mass evaluation(Ⅱ).Tables,graphs and referen-ces[J].Nucl Phys A,2003,729(1):337-676.
[11] MORALES I O,ISACKER P V,VELAZQUEZ V,et al.Image reconstruction techniques applied to nuclear mass models[J].Phys Rev C,2010,81(2):024304.
[12] WANG Ning,LIU Min.Nuclear mass predictions with a radial basisfunction approach[J].Phys Rev C,2011,84(5):051303.
[13] CHEN L,PLAB W R,GEISSEL H,et al.New results on mass measurements ofstored neutron-rich nuclides in the element range from Pt to U with the FRS-ESR facility at 360～400 MeV/u[J].Nucl Phys A,2012,882(15):71-89.

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