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Modification of the nuclear landscape in the inverse problem framework using the generalized Bethe-Weizsacker mass formula
Mavrodiev, S. Cht.1; Deliyergiyev, M. A.2
刊名INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
2018-02-01
卷号27期号:2页码:53
关键词Bethe-Weizsacker mass formula magic numbers binding energy Wigner term inverse problem.
ISSN号0218-3013
DOI10.1142/S0218301318500155
通讯作者Mavrodiev, S. Cht.(schtmavr@yahoo.com)
英文摘要We formalized the nuclear mass problem in the inverse problem framework. This approach allows us to infer the underlying model parameters from experimental observation, rather than to predict the observations from the model parameters. The inverse problem was formulated for the numerically generalized semi-empirical mass formula of Bethe and von Weizsacker. It was solved in a step-by-step way based on the AME2012 nuclear database. The established parametrization describes the measured nuclear masses of 2564 isotopes with a maximum deviation less than 2.6MeV, starting from the number of protons and number of neutrons equal to 1. The explicit form of unknown functions in the generalized mass formula was discovered in a step-by-step way using the modified least X-2 procedure, that realized in the algorithms which were developed by Lubomir Aleksandrov to solve the nonlinear systems of equations via the Gauss-Newton method, lets us to choose the better one between two functions with same X-2. In the obtained generalized model, the corrections to the binding energy depend on nine proton (2, 8, 14, 20, 28, 50, 82, 108, 124) and ten neutron (2, 8, 14, 20, 28, 50, 82, 124, 152, 202) magic numbers as well on the asymptotic boundaries of their influence. The obtained results were compared with the predictions of other models.
收录类别SCI
WOS关键词MEAN-FIELD THEORY ; FULL PF SHELL ; MAGIC NUMBERS ; SUPERHEAVY NUCLEI ; DRIP-LINE ; CA-48-INDUCED REACTIONS ; ADJUSTMENT PROCEDURES ; CAUCHY-PROBLEM ; POSED PROBLEMS ; CLOSED SHELLS
WOS研究方向Physics
WOS类目Physics, Nuclear ; Physics, Particles & Fields
语种英语
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号WOS:000426858900007
内容类型期刊论文
URI标识http://www.corc.org.cn/handle/1471x/2558131
专题寒区旱区环境与工程研究所
通讯作者Mavrodiev, S. Cht.
作者单位1.BAS, Inst Nucl Res & Nucl Energy, Sofia, Bulgaria
2.Chinese Acad Sci, Inst Modern Phys, Dept High Energy Nucl Phys, Lanzhou, Gansu, Peoples R China
推荐引用方式
GB/T 7714
Mavrodiev, S. Cht.,Deliyergiyev, M. A.. Modification of the nuclear landscape in the inverse problem framework using the generalized Bethe-Weizsacker mass formula[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS,2018,27(2):53.
APA Mavrodiev, S. Cht.,&Deliyergiyev, M. A..(2018).Modification of the nuclear landscape in the inverse problem framework using the generalized Bethe-Weizsacker mass formula.INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS,27(2),53.
MLA Mavrodiev, S. Cht.,et al."Modification of the nuclear landscape in the inverse problem framework using the generalized Bethe-Weizsacker mass formula".INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS 27.2(2018):53.
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