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arXiv 1010.3099nucl-th
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N = Z附近核的同位旋混合与超允许β衰变

Isospin mixing in nuclei around N=Z and the superallowed beta-decay

W. Satula, J. Dobaczewski, W. Nazarewicz, M. Rafalski

摘要:

使用单体密度作为动力学变量的理论方法,如哈特里-福克或密度泛函理论(DFT),通过依赖电荷的相互作用和自发地明确破坏了同位旋对称性。为了恢复自发破缺的同位旋对称性,我们在Skyrme-DFT方法的基础上实现了同位旋投影方案。这一发展允许在基态和激发核态中对同位旋混合进行一致的处理。在本研究中,我们应用这种方法计算了N~Z核的偶-偶和奇-奇基态中的同位旋杂质。通过同时考虑同位旋和角动量投影,我们计算了0 +-> 0+超允许β衰变的同位旋破缺修正.

英文摘要:

Theoretical approaches that use one-body densities as dynamical variables, such as Hartree-Fock or the density functional theory (DFT), break isospin symmetry both explicitly, by virtue of charge-dependent interactions, and spontaneously. To restore the spontaneously broken isospin symmetry, we implemented the isospin-projection scheme on top of the Skyrme-DFT approach. This development allows for consistent treatment of isospin mixing in both ground and exited nuclear states. In this study, we apply this method to evaluate the isospin impurities in ground states of even-even and odd-odd N~Z nuclei. By including simultaneous isospin and angular-momentum projection, we compute the isospin-breaking corrections to the 0+ --> 0+ superallowed beta-decay.

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