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GAMOW-TELLER AND ANALOG RESONANCES IN NEUTRON-RICH Sn ISOTOPES
Yu. S. Lutostansky1, G. A. Koroteev1,2, A.Yu. Lutostansky1,
V. N. Tikhonov1, N. Fazliakhmetov1,2,3
1 National Research Center "Kurchatov Institute", Moscow, Russia
2Moscow Institute of Physics and Technology, Dolgoprudny, Russia
3 Institute for Nuclear Research of Russian Academy of Sciences,Moscow, Russia
Charge-exchange resonances: the giant Gamow–Teller (GTR [1]), analog (AR) resonances and the so-called “pigmy” resonance (PR), which are lying below GTR [2], have been studied in the microscopic theory of finite Fermi systems and in the semiclassical approach. Calculations are presented for tin isotopes with the mass numbers A = 112 – 140 and compared with experimental data [3, 4].
The calculations were performed with the refined constants of local spin-isospin ( ) and isospin-isospin ( ) interaction of quasiparticles – and accordingly. These interaction constants are phenomenological parameters and they were determined from comparison with experimental data [5]. The calculated energy difference ΔEG−A = EG − EA tends to zero with increasing A number and N – Z indicating the restoration of Wigner SU(4)-symmetry [6].
The energies and matrix elements of the excited resonant states that determine the structure of the charge-exchange strength function S(E) were calculated. A comparison of the calculated and experimental strength functions S(E) also shows their similarity both in energies and in matrix elements. The influence of charge-exchange resonances on the process of neutrino capture by nuclei was also investigated [7] and it is shown that taking these resonances into account is of fundamental importance.
This work was supported in part by the Russian Science Foundation (grant RSF 21-12-00061) and by the Kurchatov Institute grant (order 2767 dated 28.10.2021).
[1] Yu. V. Gaponov, and Yu. S. Lyutostanskii. JETP Lett. 15, 120 (1972).
[2] Yu. S. Lutostansky. JETP Lett. 106, 7 (2017).
[3] K. Pham, J. Janecke, D. A. Roberts, et al. Phys. Rev. C 51, 526 (1995).
[4] J. Yasuda, et al. Phys. Rev. Lett. 121, 132501 (2018).
[5] Yu. S. Lutostansky. Phys. Atomic Nuclei 83, 33 (2020).
[6] Yu. S. Lutostansky. Phys. Atomic Nuclei 83, 39 (2020).
[7] Yu. S. Lutostansky, V. N. Tikhonov. Phys. Atomic Nuclei 79, 540 (2018).
| The speaker is a student or young scientist | No |
|---|---|
| Section | 1. Nuclear structure: theory and experiment |
