PHFB模型中无中微子正电子双$β$衰变的$β^{+}β^{+}$和$\varepsilon β^{+}$模的核跃迁矩阵元的不变性
Uncertainties in nuclear transition matrix elements for $β^{+}β^{+}$ and $\varepsilon β^{+}$ modes of neutrinoless positron double-$β$ decay within PHFB model
摘要：
计算了轻、重Majorana中微子交换产生的双正电子发射和电子-正电子转换模式的核跃迁矩阵元$(β^{+}β^{+})_{0ν}$和$(\varepsilon β^{+})_{0ν}$，分别对应于$^{96}$ Ru，$^{102}$ Pd，$^{106}$ Cd，$^{124}$ Cd，$^{130}$ Ba和$^{156}$ Dy同位素，采用PHFB模型，具有四种不同的配对加多极双身体的相互作用和三个不同的参数化的杰斯特罗短程相关。在所有情况下，但$^{130}$ Ba，不确定性小于14%的轻马约拉纳中微子交换和35%的重马约拉纳中微子交换。
英文摘要：
Uncertainties in the nuclear transition matrix elements $M^{(0ν)}$ and $M^{(0N)}$ of the double-positron emission $(β^{+}β^{+})_{0ν}$ and electron-positron conversion $(\varepsilon β^{+})_{0ν}$ modes due to the exchange of light and heavy Majorana neutrinos, respectively, are calculated for $^{96}$Ru, $^{102}$Pd, $^{106}$Cd, $^{124}$Xe, $^{130}$Ba and $^{156}$Dy isotopes by employing the PHFB model with four different parameterization of the pairing plus multipolar two-body interactions and three different parameterizations of the Jastrow short range correlations. In all cases but for $^{130}$Ba, the uncertainties are smaller than 14% for light Majorana neutrino exchange and 35% for the exchange of a heavy Majorana neutrino.
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