https://doi.org/10.1140/epja/i2019-12897-8
Regular Article - Theoretical Physics
Collective treatment of the isovector pair correlations: Boson representation
1
Yerevan State University, Yerevan, Armenia
2
Joint Institute for Nuclear Research and Dubna State University, 141980, Dubna, Moscow region, Russia
* e-mail: jolos@theor.jinr.ru
Received:
27
June
2019
Accepted:
25
September
2019
Published online:
30
October
2019
We propose a theoretical approach to the consideration of the Hamiltonian with pairing forces using the technique of finite boson representation. We show that a simultaneous description of the pairing vibrational state in 56Ni and the pairing rotational states with the isospin in the neighboring
nuclei is possible if the pairing Hamiltonian takes into account only isovector monopole pairing. However, the calculated energies of the pairing rotational states of
nuclei obtained from 56Ni by adding (removing) 12 or more nucleons exceed significantly the experimental values. A possible reason for this discrepancy is discussed.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019