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Majorona中微子质量机制下$^{96}$ Ru，$^{102}$ Pd，$^{106}$ Cd，$^{124}$ Ba，$^{130}$和$^{156}$ Dy同位素的形变效应和无中微子正电子$ββ$衰变

Deformation effects and neutrinoless positron $ββ$ decay of $^{96}$Ru, $^{102}$Pd, $^{106}$Cd, $^{124}$Xe, $^{130}$Ba and $^{156}$Dy isotopes within Majorona neutrino mass mechanism

P. K. Rath, R. Chandra, K. Chaturvedi, P. K. Raina, J. G. Hirsch

备注：
12 Pages, 3 figure
发表信息：
Phys.Rev.C80:044303,2009
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摘要：

在$0^{+}\to 0^{+}$跃迁的投影Hartree-Fock-Bogoliubov框架下，研究了$^{96}$ Ru，$^{102}$ Pd，$^{106}$ Cd，$^{124}$ Ba，$^{156}$ Dy同位素的$(β^{+}β^{+})_{0ν}$和$(\varepsilon β^{+})_{0ν}$模.研究这些衰变模式所需的内禀波函数的可靠性已经建立在我们早期的工作中，通过获得理论计算的光谱性质，即yrast光谱，约化$B(E2$：$0^{+}\to 2^{+})$跃迁概率，四极矩$Q(2^{+})$和旋磁因子$g(2^{+})$和现有的实验数据在母核和daugther偶偶核之间的总体协议。在目前的工作中，所需的核跃迁矩阵元计算在马约拉纳中微子质量机制使用相同的一套用于研究两个中微子正电子双$β$衰变模式的内禀波函数。有效轻中微子质量$< m_ν >$和有效重中微子质量$< M_{N} >$的极限是从观测到的$(β^{+}β^{+})_{0ν}$和$(\varepsilon β^{+})_{0ν}$模式的半衰期$T_{1/2}^{0ν}(0^{+}\to 0^{+})$极限中提取的。我们还研究了四极相关性对研究$(β^{+}β^{+})_{0ν}$和$(\varepsilon β^{+})_{0ν}$模式所需的NMEs变形的影响。

英文摘要：

The $(β^{+}β^{+})_{0ν}$ and $(\varepsilon β^{+})_{0ν}$ modes of $^{96}$Ru, $^{102}$Pd, $^{106}$Cd, $^{124}$Xe, $^{130}$Ba and $^{156}$Dy isotopes are studied in the Projected Hartree-Fock-Bogoliubov framework for the $0^{+}\to 0^{+}$ transition. The reliability of the intrinsic wave functions required to study these decay modes has been established in our earlier works by obtaining an overall agreement between the theoretically calculated spectroscopic properties, namely yrast spectra, reduced $B(E2$:$0^{+}\to 2^{+})$ transition probabilities, quadrupole moments $Q(2^{+})$ and gyromagnetic factors $g(2^{+})$ and the available experimental data in the parent and daugther even-even nuclei. In the present work, the required nuclear transition matrix elements are calculated in the Majorana neutrino mass mechanism using the same set of intrinsic wave functions as used to study the two neutrino positron double-$β$ decay modes. Limits on effective light neutrino mass $< m_ν >$ and effective heavy neutrino mass $< M_{N} >$ are extracted from the observed limits on half-lives $T_{1/2}^{0ν}(0^{+}\to 0^{+})$ of $(β^{+}β^{+})_{0ν}$ and $(\varepsilon β^{+})_{0ν}$ modes. We also investigate the effect of quadrupolar correlations vis-a-vis deformation on NTMEs required to study the $(β^{+}β^{+})_{0ν}$ and $(\varepsilon β^{+})_{0ν}$ modes.

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