On the geometric phase for Majorana and Dirac neutrinos

被引:2
|
作者
Capolupo, A. [1 ,2 ]
Giampaolo, S. M. [3 ]
Hiesmayr, B. C. [4 ]
Lambiase, G. [1 ,2 ]
Quaranta, A. [1 ,2 ]
机构
[1] Univ Salerno, Dipartimento Fis ER Caianiello, Salerno, Italy
[2] INFN Grp Collegato Salerno, Salerno, Italy
[3] Inst Ruder Boskovic, Bijenicka Cesta 54, Zagreb 10000, Croatia
[4] Univ Vienna, Fac Phys, Wahringerstr 17, A-1090 Vienna, Austria
基金
奥地利科学基金会;
关键词
neutrinos; majorana fermions; geometric phase; ENTANGLEMENT ENTROPY; QUANTUM; OSCILLATIONS;
D O I
10.1088/1361-6471/ac9fe6
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We analyze the geometric phase for neutrinos and we demonstrate that the geometric invariants associated with transitions between different neutrino flavors, for Majorana neutrinos, are not left unchanged by rephasing transformations and are sensitive to the nature of neutrinos. The dependence of geometric invariants on the Majorana phase cannot be eliminated by a charged lepton rephasing transformation. By considering kinematic and geometric approach we also demonstrate that the Majorana phase is relevant in the projective Hilbert space. Geometric invariants can therefore be used as tools to distinguish between Dirac and Majorana neutrinos.
引用
收藏
页数:18
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