Gamow–Teller Beta Decay and Pseudo-SU(4) Symmetry.

Autor: Van Isacker, Piet, Algora, Alejandro, Vitéz-Sveiczer, András, Kiss, Gábor Gyula, Orrigo, Sonja Elena Agata, Rubio, Berta, Aguilera, Pablo
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Zdroj: Symmetry (20738994); Nov2023, Vol. 15 Issue 11, p2001, 15p
Abstrakt: We report on recent experimental results on β decay into self-conjugate ( N = Z ) nuclei with mass number 58 ≤ A ≤ 70 . Super-allowed β decays from the J π = 0 + ground state of a Z = N + 2 parent nucleus are to the isobaric analogue state through so-called Fermi transitions and to J π = 1 + states by way of Gamow–Teller (GT) transitions. The operator of the latter decay is a generator of Wigner's SU(4) algebra and as a consequence GT transitions obey selection rules associated with this symmetry. Since SU(4) is progressively broken with increasing A, mainly as a consequence of the spin–orbit interaction, this symmetry is not relevant for the nuclei considered here. We argue, however, that the pseudo-spin–orbit splitting can be small in nuclei with 58 ≤ A ≤ 70 , in which case nuclear states exhibit an approximate pseudo-SU(4) symmetry. To test this conjecture, GT decay strength is calculated with use of a schematic Hamiltonian with pseudo-SU(4) symmetry. Some generic features of the GT β decay due to pseudo-SU(4) symmetry are pointed out. The experimentally observed GT strength indicates a restoration of pseudo-SU(4) symmetry for A = 70 . [ABSTRACT FROM AUTHOR]
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