Электронный каталог

Статья

Ganev, H.G.
A Microscopic Shell-Model Counterpart of the Particle-Core-Type Models / H.G.Ganev. – Text : electronic // Nuclear Physics A. – 2026. – Vol. 1072. – P. 123415. – URL: https://doi.org/10.1016/j.nuclphysa.2026.123415. – Bibliogr.: 69.

A microscopic shell-model counterpart of the widely used particle-core-type phenomenological models is introduced by separating explicitly the nuclear many-particle variables into core and single-particle variables, both of which are naturally contained in the dynamical group of the spatial excitations of the whole many-particle nuclear systems 𝑆𝑝(6(𝐴 − 1), 𝑅) with odd A. The canonical transformation of the many-particle nuclear variables corresponds to the reduction 𝑆𝑝(6(𝐴 − 1), 𝑅) ⊃ 𝑆𝑝(6(𝐴 − 2), 𝑅)&sub(𝑐𝑜𝑟𝑒) ⊗ 𝑆𝑝(6, 𝑅)&sub(𝑠𝑝), where the latter subgroup governs the more complete particle-core dynamics. In this way the core and single-particle degrees of freedom are treated on the same footing and introduced self-consistently, which combined with the Wigner supermultiplet coupling scheme allows also to take into account the Pauli principle for the case of odd-𝐴 nuclear systems and to construct the antisymmetric many-particle nuclear wave functions. The theory, able to reproduce the quadrupole collectivity in the experimental spectra without the use of an effective charge, is illustrated using the heavy strongly deformed odd-𝐴 nucleus &sup(163)Dy as an example. To our knowledge such results for heavy odd-mass nuclear systems are new.



Спец.(статьи,препринты) = С 341 а1 - Математические методы в теории ядра
ОИЯИ = ОИЯИ (JINR)2026