arXiv 1012.51762010-12-23nucl-th

电荷交换反应中无中微子双β衰变核矩阵元测量的可能性

On the possibility to measure nuclear matrix elements of neutrinoless double beta decay in charge-exchange reactions

Vadim Rodin, Amand Faessler

备注：: 7 pages, 2 figures; to appear in the proceedings of the International School of Nuclear Physics: 32nd Course: Particle and Nuclear Astrophysics, Erice, Sicily, Italy, 16-24 Sep 2010
发表信息：: Prog.Part.Nucl.Phys.66:441-445,2011
DOI：: 10.1016/j.ppnp.2011.01.048

摘要：

如参考文献\cite{Rod09}所示，如果能够测量从最终核的基态到初始核的同量异位素类似态（IAS）的同位旋禁戒单费米跃迁矩阵元，例如通过$(n,p)$型的电荷交换反应，则可以重建无中微子双β（$0νββ$）衰变的费米核矩阵元$M^{0ν}_F$。在这里，简单的估计$^{82}$硒表明，确实微小的截面$σ_{np}(0_f^+\to IAS)$占主导地位的混合物的双IAS在基态的最后一个核提供的同位旋混合是弱的，可以微扰处理。测量这样一个横截面肯定是一项非常困难的任务，但它可以大大提高我们对$0νββ$核基质元素的认识。

英文摘要：

As shown in Ref.\cite{Rod09}, the Fermi nuclear matrix element $M^{0ν}_F$ of neutrinoless double beta ($0νββ$) decay can be reconstructed if one is able to measure the isospin-forbidden single Fermi transition matrix element from the ground state of the final nucleus to the isobaric analog state (IAS) of the initial nucleus, for instance by means of charge-exchange reactions of the $(n,p)$-type. Here, simple estimates for $^{82}$Se are made which show that indeed the tiny cross section $σ_{np}(0_f^+\to IAS)$ is dominated by the admixture of the double IAS in the ground state of the final nucleus provided that the isospin mixing is weak and can be treated perturbatively. A measurement of such a cross section would definitely be a very difficult task, but it can advance a lot our knowledge of the $0νββ$ nuclear matrix element.

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