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首页> 外文期刊>Nuclear Physics, A: Journal Devoted to the Experimental Study of the Fundamental Constituents of Matter and Their Actions >Sensitive behavior of 2 nu beta beta-decay amplitude within QRPA and broken SU(4) symmetry in nuclei
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Sensitive behavior of 2 nu beta beta-decay amplitude within QRPA and broken SU(4) symmetry in nuclei

机译:QRPA中2 nu betaβ衰变幅度的敏感行为和原子核中打破的SU(4)对称性

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摘要

Making use of an identity transformation independent of a nuclear model, we represent the 2vbetabeta-amplitude as a sum of two terms. One term accounts for most of the sensitivity of the original 2vbetabeta-amplitude to g'(pp) for realistic g'(pp) similar or equal to 1 (with g'(pp) being the ratio of the triplet and singlet p-p interaction strengths) and is determined by a specific energy-weighted sum rule. The sum rule depends only on the particle-particle residual interaction (being linear function of g'(pp) in the QRPA) and passes through zero at the point g'(pp) = 1 where the Wigner SU(4) symmetry is restored in the p-p sector of the Hamiltonian. The second term in the decomposition of the 2vbetabeta-amplitude is demonstrated within the QRPA to be a much smoother function for the realistic values of g'(pp) than the original 2vbetabeta-amplitude. This term is mainly determined by the intensity of the spin-orbit interaction of the nuclear mean field. Thus, the analysis of the present work reveals the reasons for the sensitivity of the 2vbetabeta-amplitude to different components of the nuclear Hamiltonian and thereby can help in constraining nuclear model uncertainties in calculations of the amplitude. (C) 2004 Elsevier B.V. All rights reserved.
机译:利用独立于核模型的身份转换,我们将2vbetabeta振幅表示为两个项的总和。对于近似或等于1的实际g'(pp),一个术语解释了原始2vbetabeta幅度对g'(pp)的大部分敏感性(其中g'(pp)是三重态和单峰pp相互作用强度的比率) ),并由特定的能量加权和规则确定。求和规则仅取决于粒子与粒子之间的剩余相互作用(是QRPA中g'(pp)的线性函数),并且在恢复Wigner SU(4)对称性的g'(pp)= 1处通过零在汉密尔顿主义的pp部门。 2vbetabeta振幅分解中的第二项在QRPA中得到了证明,对于g'(pp)的实际值而言,它比原始2vbetabeta振幅更加平滑。该术语主要由核平均场的自旋轨道相互作用的强度决定。因此,对当前工作的分析揭示了2vbetabeta振幅对核哈密顿量的不同分量敏感的原因,从而有助于在振幅计算中限制核模型的不确定性。 (C)2004 Elsevier B.V.保留所有权利。

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