Abstract
A description is considered of the mass surfaces and pairing energies of a number of even–even and odd deformed nuclei with mass numbers in the range of 150 to 190 using polynomials no higher than the second order. An approach in which pairing energy depends on the mass of one odd nucleus is applied. It is shown that the main features of the behavior of pairing energies are preserved in this approach.
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Translated by E. Baldina
Appendices
Parameters of Second Order Surfaces for Describing Energies of Even–Even Nuclei (Even N and Z)
Let us determine functions \(e\left( {s,t} \right)\) and \(e\left( {2,0} \right)\):
s-approximation:
t-approximation:
st-approximation:
Parameters of Second Order SUrfaces for Describing Energies of Odd Nuclei
Neutron Odd Nuclei
s-approximation:
(st)n-approximation:
Here, \(e\left( {s,t} \right)\) and \(o\left( {s,t} \right)\) are functions\(E\left( {{{N}_{{{\text{odd}}}}} + s,Z + t} \right)\), where \({{N}_{{{\text{odd}}}}}\) is an odd number and Z is an even number.
Proton Odd Nuclei
t-approximation:
(st)p-approximation:
Here, \(e\left( {s,t} \right)\) and \(o\left( {s,t} \right)\) are functions \(E\left( {N + s,{{Z}_{{{\text{odd}}}}} + t} \right)\), where \(N\) is an even number and Zodd is an odd number.
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Vlasnikov, A.K., Zippa, A.I. & Mikhajlov, V.M. Masses and Pairing Energies of Deformed Nuclei. Bull. Russ. Acad. Sci. Phys. 84, 1309–1313 (2020). https://doi.org/10.3103/S1062873820100287
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DOI: https://doi.org/10.3103/S1062873820100287