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We present approximative solutions to the neutrino evolution equation calculated by different methods. In a two neutrino framework, using the physical parameters which gives the main effects to neutrino oscillations from nu{e} to another…

High Energy Physics - Phenomenology · Physics 2008-11-26 Verissimo M. de Aquino , J. S. S. de Oliveira

We present an implicit finite difference representation for general relativistic radiation hydrodynamics in spherical symmetry. Our code, Agile-Boltztran, solves the Boltzmann transport equation for the angular and spectral neutrino…

Collective neutrino oscillations are critical to determine the neutrino flavor content, which has striking impacts on core-collapse supernovae or compact binary merger remnants. It is a challenging many-body problem that so far has been…

High Energy Astrophysical Phenomena · Physics 2022-05-12 Zewei Xiong

A number of derivations of the standard neutrino oscillation formula are known, each one providing its own unique insights. Common to all treatments is the assumption that neutrinos propagate freely between source and detector, as indeed…

High Energy Physics - Phenomenology · Physics 2019-10-08 Lucas Johns

Assuming that the interacting neutrino and the solar matter can be treated as an open quantum system we formulate a formalism of neutrino state evolution in terms of the Bloch vector, obtained by solving a quasilinear extension of the von…

High Energy Physics - Phenomenology · Physics 2022-05-24 Jakub Rembielinski , Jacek Ciborowski

We examine coherent active-active channel neutrino flavor evolution in environments where neutrino-neutrino forward scattering can engender large-scale collective flavor transformation. We point out a key quantity, the "total effective…

Astrophysics · Physics 2008-11-26 Huaiyu Duan , George M. Fuller , Yong-Zhong Qian

Two-dimensional hydrodynamic simulations of stellar core-collapse with and without rotation are presented which for the first time were performed by solving the Boltzmann equation for the neutrino transport including a state-of-the-art…

Astrophysics · Physics 2008-11-26 R. Buras , M. Rampp , H. -Th. Janka , K. Kifonidis

The quantum kinetic evolution of neutrinos in dense environments, such as the core-collapse supernovae or the neutron star mergers, can result in fast flavor conversion (FFC), presenting a significant challenge to achieving robust…

High Energy Astrophysical Phenomena · Physics 2025-02-10 Zewei Xiong , Meng-Ru Wu , Manu George , Chun-Yu Lin

This paper addresses the fundamental principles of generalized Boltzmann physical kinetics, as a part of non-local physics. It is shown that the theory of transport processes (including quantum mechanics) can be considered in the frame of…

Statistical Mechanics · Physics 2008-05-24 Boris V. Alexeev

Effects of decoherence by wave packet separation on collective neutrino oscillations in dense neutrino gases are considered. We estimate the length of the wave packets of neutrinos produced in core collapse supernovae and the expected…

High Energy Physics - Phenomenology · Physics 2017-09-21 Evgeny Akhmedov , Joachim Kopp , Manfred Lindner

General relativistic multi-group and multi-flavor Boltzmann neutrino transport in spherical symmetry adds a new level of detail to the numerical bridge between microscopic nuclear and weak interaction physics and the macroscopic evolution…

A new code for following the evolution and emissions of proto-neutron stars during the first minute of their lives is developed and tested. The code is one dimensional, fully implicit, and general relativistic. Multi-group, multi-flavor…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Luke F. Roberts

Why are different mass states coherent? What is the correct formula for the oscillation phase? How can textbook formulas for oscillations in time describe experiments which never measure time? How can we treat the different velocities and…

High Energy Physics - Phenomenology · Physics 2014-11-18 Harry J. Lipkin

The definition and derivation of flavor neutrino states in the framework of standard Quantum Field Theory is reviewed, clarifying some subtle points. It is shown that a flavor neutrino state that describes a neutrino produced or detected in…

High Energy Physics - Phenomenology · Physics 2009-11-11 Carlo Giunti

We examine the propagation and flavor oscillations of neutrinos under the influence of gravitational waves (GWs) with an arbitrary polarization. We rederive the effective Hamiltonian for the system of three neutrino flavors using the…

High Energy Physics - Phenomenology · Physics 2021-08-24 Maxim Dvornikov

In this paper, we analyze in a mathematically rigorous fashion the validity of the Boltzmann transport equation within quantum field theory. We work within the specific model of a hermitian, scalar field with polynomial self-interaction in…

Statistical Mechanics · Physics 2010-03-09 Stefan Hollands , Gregor Leiler

Neutrino scillations cannot arise from an initial isolated one particle state if four-momentum is conserved. The transition matrix element is generally squared and summed over all final states with no interference between orthogonal final…

High Energy Physics - Phenomenology · Physics 2009-05-11 Harry J. Lipkin

We study the oscillations of neutrinos in a model in which the neutrino is coupled to a localized, idealized source and detector. By varying the spatial and temporal resolution of the source and detector we are able to model the full range…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ken Kiers , Nathan Weiss

We have coded a Boltzmann solver based on a finite difference scheme (S_N method) aiming at calculations of neutrino transport in type II supernovae. Close comparison between the Boltzmann solver and a Monte Carlo transport code has been…

Astrophysics · Physics 2007-05-23 Shoichi Yamada , Hans-Thomas Janka , Hideyuki Suzuki

We present a general phase-space kinetic model for charged particle transport through combined localised and delocalised states, capable of describing scattering collisions, trapping, detrapping and losses. The model is described by a…

Statistical Mechanics · Physics 2016-09-14 Peter W. Stokes , Bronson Philippa , Daniel Cocks , Ronald D. White