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- W3158738130 abstract "The nuclear matrix elements of neutrinoless double-$ensuremath{beta}$ decay for nuclei $^{76}mathrm{Ge}$, $^{82}mathrm{Se}$, $^{100}mathrm{Mo}$, $^{130}mathrm{Te}$, and $^{150}mathrm{Nd}$ are studied within the triaxial projected shell model, which incorporates simultaneously the triaxial deformation and quasiparticle configuration mixing. The low-lying spectra, the $B(E2:{0}^{+}ensuremath{rightarrow}{2}^{+})$ values, and the occupancies of single-particle orbits are reproduced well. The effects of the quasiparticles configuration mixing, the triaxial deformation, and the closure approximation on the nuclear matrix elements are studied in detail. For nuclei $^{76}mathrm{Ge}$, $^{82}mathrm{Se}$, $^{100}mathrm{Mo}$, $^{130}mathrm{Te}$, and $^{150}mathrm{Nd}$, the nuclear matrix elements are respectively reduced by the quasiparticle configuration mixing by 6%, 7%, 2%, 3%, and 4%, and enhanced by calculating explicitly the transitions through odd-odd intermediate states by 7%, 4%, 11%, 20%, and 14%. Varying the triaxial deformation $ensuremath{gamma}$ from ${0}^{ensuremath{circ}}$ to ${60}^{ensuremath{circ}}$ for the mother and daughter nuclei, the nuclear matrix elements change by 41%, 17%, 68%, 14%, and 511%, respectively, for $^{76}mathrm{Ge}$, $^{82}mathrm{Se}$, $^{100}mathrm{Mo}$, $^{130}mathrm{Te}$, and $^{150}mathrm{Nd}$, which indicates the importance of treating the triaxial deformation consistently in calculating the nuclear matrix elements." @default.
- W3158738130 created "2021-05-10" @default.
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- W3158738130 date "2021-07-28" @default.
- W3158738130 modified "2023-10-15" @default.
- W3158738130 title "Nuclear matrix elements of neutrinoless double- <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>β</mml:mi></mml:math> decay in the triaxial projected shell model" @default.
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- W3158738130 doi "https://doi.org/10.1103/physrevc.104.014320" @default.
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