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Semi-Poisson Statistics in Relativistic Quantum Billiards with Shapes of Rectangles.
Entropy (Basel)
May 2023
Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon 34126, Republic of Korea.
Rectangular billiards have two mirror symmetries with respect to perpendicular axes and a twofold (fourfold) rotational symmetry for differing (equal) side lengths. The eigenstates of rectangular neutrino billiards (NBs), which consist of a spin-1/2 particle confined through boundary conditions to a planar domain, can be classified according to their transformation properties under rotation by π (π/2) but not under reflection at mirror-symmetry axes. We analyze the properties of these symmetry-projected eigenstates and of the corresponding symmetry-reduced NBs which are obtained by cutting them along their diagonal, yielding right-triangle NBs.
View Article and Find Full Text PDFNeutrino oscillations and instabilities in degenerate relativistic astrophysical plasmas.
Phys Rev E
June 2019
Instituto de Física, Universidade Federal do Rio Grande do Sul, Av. Bento Gonçalves 9500, 91501-970 Porto Alegre, RS, Brasil.
We set up a proposal to extend significantly recent works on neutrino-plasma interaction, allowing the possibility of deep degenerate and relativistic electrons, which are often present in compact stars such as high-density white dwarfs. The methodology involves the covariant hydrodynamic formulation of ultradense plasmas. We propose the generalization of previous studies, on the interaction between ion-acoustic waves and resonant neutrino flavor oscillations in a mixed neutrino beam, admitting degenerate and relativistic electron populations.
View Article and Find Full Text PDFMeasurement of the Neutrino Mixing Angle θ_{23} in NOvA.
Phys Rev Lett
April 2017
Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA.
This Letter reports new results on muon neutrino disappearance from NOvA, using a 14 kton detector equivalent exposure of 6.05×10^{20} protons on target from the NuMI beam at the Fermi National Accelerator Laboratory. The measurement probes the muon-tau symmetry hypothesis that requires maximal θ_{23} mixing (θ_{23}=π/4).
View Article and Find Full Text PDFOctant of θ_{23} in Danger with a Light Sterile Neutrino.
Phys Rev Lett
January 2017
Dipartimento Interateneo di Fisica "Michelangelo Merlin", Via Amendola 173, 70126 Bari, Italy.
Present global fits of world neutrino data hint towards nonmaximal θ_{23} with two nearly degenerate solutions, one in the lower octant (θ_{23}<π/4), and the other in the higher octant (θ_{23}>π/4). This octant ambiguity of θ_{23} is one of the fundamental issues in the neutrino sector, and its resolution is a crucial goal of next-generation long-baseline (LBL) experiments. In this Letter, we address, for the first time, the impact of a light eV-scale sterile neutrino towards such a measurement, taking the Deep Underground Neutrino Experiment as a case study.
View Article and Find Full Text PDFCondensed State of Heavy Vectorlike Neutrinos.
Phys Rev Lett
August 2015
William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA; School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA; and Institute of Theoretical and Experimental Physics, Moscow 117218, Russia.
Some extensions of the standard model suggest the existence of vectorlike fermions whose mass M can be larger by up to several orders of magnitude than the electroweak scale v, and with the Higgs mechanism providing only a small part m of this mass that is a fraction of v. It is shown that in a certain range of the parameters m and M, there exist stable globules of degenerate fermionic matter made from the lighter of the neutral vectorlike leptons (superheavy neutrinos) with a number density much larger than m(h)v(2), with m(h) being the Higgs boson mass. The stability is due to the deformation of the Higgs field inside the globule to values greatly exceeding v.
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