β decay of the even-evenBa124nucleus: A test for the interacting boson-fermion-fermion model

Abstract

The interacting boson-fermion-fermion model approach to β decay is applied to the decay from the even-even 124 Ba to the odd-odd 124 Cs nucleus. The theoretical results for energy levels, electromagnetic properties and β decay rates are compared with experimental data for 124 Cs. The calculated β-decay rates demonstrate that the interacting boson approximation can be applied in the description of β decays from even-even to odd-odd nuclei.

β -decay rates of Rh115,117 into Pd115Ferretti1, Kotila2, Vsevolodovna3 et al. 2020Phys. Rev. C11021View full textAdd to dashboardCite

“…The investigation of such types of transitions, both on the theoretical and experimental sides, is extremely important. It can provide insight into the structure of heavy nuclei and serve as a test of the available nuclear structure models, including the interacting boson and bosonfermion models (IBM-2 and IBFM-2) [1][2][3][4][5][6][7][8][9], the quasiparticle random phase approximation (QRPA) [10][11][12][13][14][15], and the largescale nuclear shell model [16][17][18]. This is because the β-decay rates are very sensitive to the wave functions of the parent and daughter nuclei.…”

Spectroscopy of odd-odd nuclei within the interacting boson-fermion-fermion model based on the Gogny energy-density functional

“…In the monopole interactions, the number operator for the odd fermion is expressed asn ρ = jρ (− 2j ρ + 1)(a † jρ ×ã jρ ) (0) . In previous IBFFM calculations [45,46], the residual interactionV res in Eq. (1) contained a quadrupolequadrupole, delta, spin-spin-delta, spin-spin, and tensor interaction.…”

“…3. By following previous IBFFM calculations [23,45,46], the same strength parameters Γ ν , Λ ν , and A ν (Γ π , Λ π , and A π ) as those obtained for the odd-N Hg (odd-Z Au) nuclei in the previous step, are used for the odd-odd nuclei. The single-particle energies and occupation probabilities are, however, newly calculated for the odd-odd systems.…”

$β$ decay of even-A nuclei within the interacting boson model based on nuclear density functional theory

“…A variety of theoretical methods have been used for this purpose. Without trying to be exhaustive, we can mention the quasiparticle random phase approximation (QRPA) used at various levels of sophistication [3][4][5][6][7][8], the beyond mean-field approaches within the nuclear energy density functional (EDF) framework [9,10], the description based on large-scale interacting shell model calculations [11][12][13][14][15], or that based on the interacting boson model (IBM) [16][17][18][19][20][21][22][23][24][25]. Each of the theoretical methods have their own advantages and drawbacks that defined their range of applicability in the nuclear chart.…”

“…To the best of our knowledge, the IBFFM has been employed to study the β decays only in Refs. [22] and [24]. The former study is a first attempt to implement IBFFM in the β decay of even-even system, but only one nucleus 124 Ba was considered there.…”