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arXiv 0812.0348nucl-thhep-ph
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$0νββ$核基质元素和单个轨道的占有率

$0νββ$ nuclear matrix elements and the occupancy of individual orbits

Fedor Simkovic, Amand Faessler, Petr Vogel

备注：
9 pages, 6 figures
发表信息：
Phys.Rev.C79:015502,2009
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摘要：

在$^{76}$ Ge和$^{76}$ Se中测量的价轨道占位率被用作修改有效平均场能量的准则，从而更好地描述这些量。利用它们，结合自洽重整化准粒子无规相位近似（SRQRPA）方法，确保了相关基态中平均粒子数的守恒，我们证明了所得到的$^{76}$ Ge $\to$ Se跃迁的$0νββ$核矩阵元比以前的QRPA值减少了$\sim$ 25%，因此本方法和相互作用壳模型预测之间的差异相应地变小。A=82系统的平均场能量的类似修改也导致了$^{82}$ Se $\to$ $^{82}$ Kr跃迁的$0νββ$矩阵元的减少，使其也更接近壳模型预测。

英文摘要：

The measured occupancies of valence orbits in $^{76}$Ge and $^{76}$Se are used as a guideline for modification of the effective mean field energies that results in better description of these quantities. With them, in combination with the selfconsitent renormalized quasiparticle random phase approximation (SRQRPA) method that ensures conservation of the mean particle number in the correlated ground state, we show that the resulting $0νββ$ nuclear matrix element for the $^{76}$Ge $\to$ $^{76}$Se transition is reduced by $\sim$25% compared to the previous QRPA value, and therefore the difference between the present approach and the interacting shell model predictions becomes correspondingly smaller. Analogous modification of the mean field energies for the A=82 system also results in a reduction of $0νββ$ matrix element for the $^{82}$Se $\to$ $^{82}$Kr transition, making it also closer to the shell model prediction.

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