Erratum: GeneralCPproperties of neutrino mass eigenstates

1984 ◽  
Vol 30 (9) ◽  
pp. 1995-1995 ◽  
Author(s):  
S. P. Rosen
Keyword(s):  
Neutrino Mass ◽  
Mass Eigenstates

scholarly journals Could a Reported 2007 Analysis of Super-Kamiokande Data Have Missed a Detectable Supernova Signal from Andromeda?

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Robert Ehrlich
Keyword(s):  
Neutrino Mass ◽  
Search Method ◽  
Entire Period ◽  
Neutrino Masses ◽  
Sterile Neutrinos ◽  
Mass Eigenstates ◽  
Search Result ◽  
Sn 1987A

According to a 2007 paper there was no evidence for a neutrino burst of two or more events in Super-Kamiokande (SK) during the entire period of data taking from 1996 to 2005 from Andromeda or anywhere else. There is, however, a scenario under which a detectable signal could have been missed given the search method employed by the analysis, and it would have been found using an alternate method. The alternate method depends on the hypothesis that two of the neutrino mass eigenstates have masses 4.0 eV and 21.4 eV which was inferred from an analysis of the SN 1987A data. Although one might argue that the hypothesis of such large neutrino masses is remote, there is a way they could be compatible with observed constraints on neutrino masses involving a third tachyonic (m2<0) eigenstate, plus three sterile neutrinos. Given the importance of a positive supernova search result and the ease of conducting it using existing SK data, there would seem to be little reason not to do it.

ELECTROWEAK THEORY AND THE NEUTRINO-MASS AND NEUTRINO-OSCILLATION QUESTIONS

2007 ◽  
Vol 22 (12) ◽  
pp. 853-865 ◽  
Author(s):  
G. ZIINO
Keyword(s):  
Standard Model ◽  
Neutrino Oscillation ◽  
Neutrino Mass ◽  
Parity Violation ◽  
Crucial Role ◽  
Tau Lepton ◽  
Electroweak Theory ◽  
Mass Eigenstates ◽  
The Standard Model

It is shown that both conjectures of neutrino mass and neutrino oscillation can be made really well-grounded within the Standard Model provided that one adopts a recent new version of the electroweak scheme spontaneously giving also a fundamental explanation for the so-called "maximal parity-violation" effect. A crucial role is played by the prediction of two distinct, scalar and pseudoscalar, replicas of (electron, muon, and tau) lepton numbers that could fully account for an actual non-coincidence between neutrino mass-eigenstates and gauge-eigenstates.

NEUTRINO ENERGY EIGENSTATES IN MATTER WITH VARYING DENSITY

1995 ◽  
Vol 10 (13n14) ◽  
pp. 1035-1040
Author(s):  
JAE SIK LEE ◽  
JAE KWAN KIM
Keyword(s):  
Effective Mass ◽  
Neutrino Mass ◽  
Solar Neutrino ◽  
Transition Probability ◽  
Mass Difference ◽  
Neutrino Energy ◽  
Level Crossing ◽  
Mass Eigenstates ◽  
Energy Eigenstates

We consider the energy eigenstates of neutrino in matter with varying density. From this consideration we calculate the transition probability of P(νe→νe) as a function of ratio of neutrino energy to neutrino mass difference squared [Formula: see text] in solar neutrino case. We show that our results are consistent with those results obtained by considering the effective mass eigenstates and level crossing.

scholarly journals SPREADING OF WAVE PACKETS FOR NEUTRINO OSCILLATIONS

2014 ◽  
Vol 29 (02) ◽  
pp. 1450007 ◽  
Author(s):  
Y. F. PÉREZ ◽  
C. J. QUIMBAY
Keyword(s):  
Field Theory ◽  
Neutrino Oscillation ◽  
Neutrino Mass ◽  
Neutrino Oscillations ◽  
Wave Packets ◽  
Longitudinal Dispersion ◽  
Third Order ◽  
Mass Eigenstates ◽  
Neutrino Source ◽  
Neutrino Flavor

The effects originated in dispersion with time on spreading of wave packets for the time-integrated two-flavor neutrino oscillation probabilities in vacuum are studied in the context of a field theory treatment. The neutrino flavor states are written as superpositions of neutrino mass eigenstates which are described by localized wave packets. This study is performed for the limit of nearly degenerate masses and considering an expansion of the energy until third-order in the momentum. We obtain that the time-integrated neutrino oscillation probabilities are suppressed by a factor 1/L2 for the transversal and longitudinal dispersion regimes, where L is the distance between the neutrino source and the detector.

scholarly journals Theory of neutrino detection: flavor oscillations and weak values

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Yago P. Porto-Silva ◽  
M. C. de Oliveira
Keyword(s):  
Neutrino Mass ◽  
Intermediate State ◽  
Large Momentum ◽  
Weak Values ◽  
Weak Measurements ◽  
Expectation Value ◽  
Mass Eigenstates ◽  
Flavor Oscillations ◽  
Neutrino Detection ◽  
Oscillation Process

AbstractWe revisit the theory of neutrino oscillations and describe it through the formalism of weak measurements with postselection. It is well understood that due to the large momentum uncertainty in detection, there is no collapse of the neutrino wavefunction in the momentum or energy basis, and the mass eigenstates are detected coherently. Here we show that postselection, which projects the system to a final flavor state, deforms the system wavefunction in such a way that the momentum detected is not the expectation value of the neutrino mass eigenstates momenta, but the corresponding weak value. We use the weak values to describe the intermediate state in the oscillation process, avoiding problems in defining probability currents for particle states with mass superposition.

scholarly journals THE EXACT EIGENSTATES OF THE NEUTRINO MASS MATRIX WITHOUT CP-PHASE VIOLATION

2007 ◽  
Vol 22 (20) ◽  
pp. 1459-1467 ◽  
Author(s):  
ADRIAN PALCU
Keyword(s):  
Neutrino Mass ◽  
Mass Matrix ◽  
Lepton Number ◽  
Neutrino Mass Matrix ◽  
Exact Mass ◽  
Mixing Angles ◽  
Mass Eigenstates ◽  
Neutrino Sector ◽  
Absolute Mass ◽  
Analytical Expressions

In this paper we obtain the exact mass-eigenstates of the Majorana physical neutrinos. We start by taking into account a general 3 × 3 mass matrix (ignoring any CP-phase violation). It is then diagonalized by exactly solving an appropriate set of equations. The solution provides straightforwardly the mass eigenvalues depending on the diagonal entries and mixing angles. Finally, the consequences of these analytical expressions are discussed assuming certain restrictions such as the global lepton number L = Le- Lμ- Lτ(rigorously conserved or softly broken) and the μ - τ interchange symmetry. The minimal absolute mass in the neutrino sector is also obtained since the two plausible scenarios invoked above are employed.

scholarly journals GeneralCPproperties of neutrino mass eigenstates

1984 ◽  
Vol 29 (11) ◽  
pp. 2535-2538 ◽  
Author(s):  
S. P. Rosen
Keyword(s):  
Neutrino Mass ◽  
Mass Eigenstates

scholarly journals MSW-Like Enhancements Without Matter

1997 ◽  
Vol 12 (31) ◽  
pp. 2391-2398 ◽  
Author(s):  
G. J. Stephenson ◽  
T. Goldman ◽  
B. H. J. McKellar
Keyword(s):  
Scalar Field ◽  
Neutrino Mass ◽  
Weak Interaction ◽  
Solar Neutrino ◽  
Apparent Discrepancy ◽  
Mixing Angles ◽  
Mass Eigenstates ◽  
Effective Masses ◽  
R Process ◽  
Vacuum Mixing

We study the effects of a scalar field, coupled only to neutrinos, on oscillations among weak interaction current eigenstates. The effect of a real scalar field appears as effective masses for the neutrino mass eigenstates, the same for [Formula: see text] as for ν. Under some conditions, this can lead to a vanishing of δ m2, which maximizes mixing independently of the vacuum mixing angles, as in the MSW effect. We discuss some examples and show that it is possible to resolve an apparent discrepancy in spectra required by r-process nucleosynthesis in the mantles of supernovae and by solar neutrino solutions.

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