Non-Hermitian neutrino oscillations in matter with PT symmetric Hamiltonians
Non-Hermitian neutrino oscillations in matter with PT symmetric Hamiltonians
复制标题
具有 PT 对称哈密顿量的物质中的非厄米中微子振荡
DOI：
10.1209/0295-5075/113/61001
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
T. Ohlsson
中科院分区：
文献类型：
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作者：
T. Ohlsson
我们引入并开发了一种新方法，使用非厄米 PT 对称有效哈密顿量来扩展物质中普通的双味中微子振荡形式。 PT对称性的条件比气密性的条件更弱，数学性更少，但更物理性，并且形式主义的这种扩展可以在中微子味道转变中产生次主导效应，类似于所谓的非标准中微子相互作用的效应。我们推导了有效哈密顿量谱为实数的必要条件以及基本参数和有效参数之间的映射。我们发现，有效哈密顿量的实数谱将取决于通常中微子振荡形式的非厄米PT对称扩展中引入的所有新基本参数，并且要么i）谱是精确的并且有效轻子混合必须始终是最大的，要么ii）谱是近似的并且所有新基本参数必须很小。
We introduce and develop a novel approach to extend the ordinary two-flavor neutrino oscillation formalism in matter using a non-Hermitian PT symmetric effective Hamiltonian. The condition of PT symmetry is weaker and less mathematical than that of hermicity, but more physical, and such an extension of the formalism can give rise to sub-leading effects in neutrino flavor transitions similar to the effects by so-called non-standard neutrino interactions. We derive the necessary conditions for the spectrum of the effective Hamiltonian to be real as well as the mappings between the fundamental and effective parameters. We find that the real spectrum of the effective Hamiltonian will depend on all new fundamental parameters introduced in the non-Hermitian PT symmetric extension of the usual neutrino oscillation formalism and that either i) the spectrum is exact and the effective leptonic mixing must always be maximal or ii) the spectrum is approximate and all new fundamental parameters must be small.