{alpha}-decay energy formula for superheavy nuclei based on the liquid-drop model

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.034320· OSTI ID:21419526

Tiekuang, Dong ^[1]; Zhongzhou, Ren ^[1]

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1. Department of Physics, Nanjing University, Nanjing 210008 (China)

A formula of {alpha}-decay energy for superheavy nuclei based on the method of macroscopic model plus shell corrections is proposed. The macroscopic part of this formula is derived from the Bethe-Weizsaecker binding energy formula, and the shell corrections at N=152 and N=162 are expressed by the Mexican hat wavelet functions. The parameters of this formula are obtained through fitting to 170 {alpha}-decay energies for nuclei ranging from Z=90 to Z=118 with N{>=}140. Numerical results show that 170 existing {alpha}-decay energies can be reproduced very well; the average and standard deviations between theoretical results and experimental data are 0.177 and 0.226 MeV, respectively. The {alpha}-decay energies of newly synthesized nuclei {sup 293,294}117 and their {alpha}-decay products are also reproduced very well. In addition, the {alpha}-decay energies for nuclei with Z=110-120 are predicted and compared with the results calculated by the macroscopic-microscopic model. Great differences are found for nuclei with Z{>=}116 and N{>=}176 due to the shell effects near the hypothetical doubly magic nucleus {sup 298}114{sub 184} in the macroscopic-microscopic model. Therefore, by comparing experimental {alpha}-decay energies measured in the future with the ones predicted by these two methods, one can obtain useful information about the next proton and neutron magic numbers.

• OSTI ID: 21419526
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevC.82.034320; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA DECAY
BINDING ENERGY
COMPUTERIZED SIMULATION
CORRECTIONS
ELEMENT 114
ELEMENT 117 ISOTOPES
HEAVY NUCLEI
KEV RANGE 100-1000
LIQUID DROP MODEL
MAGIC NUCLEI
NEUTRONS
NUCLEOSYNTHESIS
PROTONS
TRANSACTINIDE ELEMENTS
WEIZSAECKER FORMULA
BARYONS
DECAY
ELEMENTARY PARTICLES
ELEMENTS
ENERGY
ENERGY RANGE
FERMIONS
HADRONS
ISOTOPES
KEV RANGE
MATHEMATICAL MODELS
NUCLEAR DECAY
NUCLEAR MODELS
NUCLEI
NUCLEONS
SIMULATION
SYNTHESIS
TRANSPLUTONIUM ELEMENTS
TRANSURANIUM ELEMENTS