标题： Ikeda求和规则的违背与重整化准粒子随机相位近似的自洽性及核双贝塔衰变 显示英文标题

标题： Violation of the Ikeda sum rule and the self-consistency in the renormalized quasiparticle random phase approximation and the nuclear double-beta decay

摘要： 双中微子双贝塔衰变（$\beta\beta_{2\nu}$）运动方程中包含基态关联的影响被仔细分析。 得到的模型称为重整化随机相近似（RQRPA），在粒子-空穴通道中的核力强度接近物理值时不会崩溃，而普通QRPA会发生这种情况。 然而，RQRPA中的 $\beta\beta_{2\nu}$ 转换振幅对该参数的敏感性仅比普通QRPA略低。 有人认为这一事实再次表明了QRPA中 $\beta\beta_{2\nu}$ 转换振幅的特征行为并不是模型的缺陷，而是自旋-同位旋 $SU(4)$ 对称性部分恢复的结果。 研究显示，RQRPA避免崩溃所付出的代价是Ikeda求和规则的破坏。 显示英文摘要

摘要： The effect of the inclusion of ground state correlations into the QRPA equation of motion for the two-neutrino double beta ($\beta\beta_{2\nu}$) decay is carefully analyzed. The resulting model, called renormalized QRPA (RQRPA), does not collapse near the physical value of the nuclear force strength in the particle-particle channel, as happens with the ordinary QRPA. Still, the $\beta\beta_{2\nu}$ transition amplitude is only slightly less sensitive on this parameter in the RQRPA than that in the plain QRPA. It is argued that this fact reveals once more that the characteristic behaviour of the $\beta\beta_{2\nu}$ transition amplitude within the QRPA is not an artifact of the model, but a consequence of the partial restoration of the spin-isospin $SU(4)$ symmetry. It is shown that the price paid for bypassing the collapse in the RQRPA is the violation of the Ikeda sum rule.