scholarly journals Symmetry Finder applied to the 1–3 mass eigenstate exchange symmetry

2021 ◽  
Vol 81 (11) ◽  
Author(s):  
Hisakazu Minakata

AbstractIn a previous paper, Symmetry Finder (SF) method is proposed to find the reparametrization symmetry of the state-exchange type in neutrino oscillation in matter. It has been applied successfully to the 1–2 state exchange symmetry in the DMP perturbation theory, yielding the eight symmetries. In this paper, we apply the SF method to the atmospheric-resonance perturbation theory to uncover the 1–3 state relabeling symmetries. The pure 1–3 state symmetry takes the unique position that it is practically impossible to formulate in vacuum under the conventional choice of the flavor mixing matrix. In contrast, our SF method produces the sixteen 1–3 state exchange symmetries in matter. The relationship between the symmetries in the original (vacuum plus matter) Hamiltonian and the ones in the diagonalized system is discussed.

2000 ◽  
Vol 15 (37) ◽  
pp. 2257-2263
Author(s):  
N. HABA ◽  
TOMOHARU SUZUKI

It is important to measure Ue3 in the lepton flavor mixing matrix in order to understand the structure of Majorana neutrino mass matrix. Recently it is conjectured that the measurement of Ue3 would discriminate one solution among various solar neutrino ones provided that the three mass eigenvalues of neutrinos have the relation m1≪m2≪m3 or m1~m2≪m3. In this letter we show that this conjecture is rather restrictive and the relation [Formula: see text] is derived by a nontrivial assumption and Ue3 cannot discriminate among solar neutrino oscillation solutions without the information on another physical parameter.


2018 ◽  
Vol 33 (02) ◽  
pp. 1850014 ◽  
Author(s):  
Jun-Hao Liu ◽  
Shun Zhou

The possible existence of an eV-mass sterile neutrino, slightly mixing with ordinary active neutrinos, is not yet excluded by neutrino oscillation experiments. Assuming neutrinos to be Majorana particles, we explore the impact of such a sterile neutrino on the effective neutrino mass of neutrinoless double-beta decays [Formula: see text], where [Formula: see text] and [Formula: see text] (for [Formula: see text]) denote respectively the absolute masses and the first-row elements of the [Formula: see text] neutrino flavor mixing matrix [Formula: see text], for which a full parametrization involves three Majorana-type CP-violating phases [Formula: see text]. A zero effective neutrino mass [Formula: see text] is possible, no matter whether three active neutrinos take the normal or inverted mass ordering, and its implications for the parameter space are examined in great detail. In particular, given the best-fit values of [Formula: see text] and [Formula: see text] from the latest global analysis of neutrino oscillation data, a three-dimensional view of [Formula: see text] in the [Formula: see text]-plane is presented and further compared with that of the counterpart [Formula: see text] in the absence of any sterile neutrino.


2015 ◽  
Vol 36 (1) ◽  
pp. 1-10
Author(s):  
Andrew Comensoli ◽  
Carolyn MacCann

The current study proposes and refines the Appraisals in Personality (AIP) model in a multilevel investigation of whether appraisal dimensions of emotion predict differences in state neuroticism and extraversion. University students (N = 151) completed a five-factor measure of trait personality, and retrospectively reported seven situations from the previous week, giving state personality and appraisal ratings for each situation. Results indicated that: (a) trait neuroticism and extraversion predicted average levels of state neuroticism and extraversion respectively, and (b) five of the examined appraisal dimensions predicted one, or both of the state neuroticism and extraversion personality domains. However, trait personality did not moderate the relationship between appraisals and state personality. It is concluded that appraisal dimensions of emotion may provide a useful taxonomy for quantifying and comparing situations, and predicting state personality.


1970 ◽  
Vol 4 (2) ◽  
pp. 284-295
Author(s):  
Muridan Muridan

M. Natsir was one of the most prominent figures in religious discourse and movement in Indonesia. He was ada’wa reformer as well as a politician and a statesman.His most well known ideas were about the relationship between Islamand state, Islam and Pancasila, and his idea on da’wa. He stated that a country would be Islamic because of neither itsformal name as an Islamic state nor its Islamic state principles. The principles of the state could be generally formulated aslong as they referred to the Islamic values. Natsir also stated that the essence of Pancasila didn’t contradict with Islam; evensome parts of it went after the goals of Islam. However, it didn’t mean that Pancasila was identical with Islam. In relation toda’wa, he stated that it should be the responsibility of all Muslims, not only the responsibility of kiai or ulama. To make a da’wamovement successful, he suggested that it needed three integrated components; masjid, Islamic boarding school, andcampus.


1970 ◽  
Vol 3 (1) ◽  
pp. 63-74
Author(s):  
Muridan Muridan

M. Natsir was one of the most prominent figures in religious discourse and movement in Indonesia. He was ada’wa reformer as well as a politician and a statesman. His most well known ideas were about the relationship between Islamand state, Islam and Pancasila, and his idea on da’wa. He stated that a country would be Islamic because of neither itsformal name as an Islamic state nor its Islamic state principles. The principles of the state could be generally formulated aslong as they referred to the Islamic values. Natsir also stated that the essence of Pancasila didn’t contradict with Islam; evensome parts of it went after the goals of Islam. However, it didn’t mean that Pancasila was identical with Islam. In relation toda’wa, he stated that it should be the responsibility of all Muslims, not only the responsibility of kyai or ulama. To make ada’wamovement successful, he suggested that it needed three integrated components; masjid, Islamic boarding school, andcampus.


2019 ◽  
pp. 246-256
Author(s):  
A. K. Zholkovsky

In his article, A. Zholkovsky discusses the contemporary detective mini-series Otlichnitsa [A Straight-A Student], which mentions O. Mandelstam’s poem for children A Galosh [Kalosha]: more than a fleeting mention, this poem prompts the characters and viewers alike to solve the mystery of its authorship. According to the show’s plot, the fact that Mandelstam penned the poem surfaces when one of the female characters confesses her involvement in his arrest. Examining this episode, Zholkovsky seeks structural parallels with the show in V. Aksyonov’s Overstocked Packaging Barrels [Zatovarennaya bochkotara] and even in B. Pasternak’s Doctor Zhivago [Doktor Zhivago]: in each of those, a member of the Soviet intelligentsia who has developed a real fascination with some unique but unattainable object is shocked to realize that the establishment have long enjoyed this exotic object without restrictions. We observe, therefore, a typical solution to the core problem of the Soviet, and more broadly, Russian cultural-political situation: the relationship between the intelligentsia and the state, and the resolution is not a confrontation, but reconciliation.


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