Do many-particle neutrino interactions cause a novel coherent effect?

Alexander Friedland (LANL) Cecilia Lunardini (IAS)

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Do many-particle neutrino interactions cause a novel coherent effect?

Alexander Friedland (LANL) Cecilia Lunardini (IAS)

High Energy Physics - Phenomenology · Submitted 10 Jul 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that, if the neutrinos are initially in flavor eigenstates, no coherent flavor conversion is realized, in agreement with the effective one-particle description.

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arXiv IDhep-ph/0307140 (version 1)

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CitationAlexander Friedland (LANL) Cecilia Lunardini (IAS). "Do many-particle neutrino interactions cause a novel coherent effect?." arXiv:hep-ph/0307140 (2003). https://pith.science/paper/KZZUMOVW

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.24 · human participants 0.01 · controlled comparison 0.32 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.93 · mentions code or data availability 0.02.

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We investigate whether coherent flavor conversion of neutrinos in a neutrino background is substantially modified by many-body effects, with respect to the conventional one-particle effective description. We study the evolution of a system of interacting neutrino plane waves in a box. Using its equivalence to a system of spins, we determine the character of its behavior completely analytically. We find that, if the neutrinos are initially in flavor eigenstates, no coherent flavor conversion is realized, in agreement with the effective one-particle description. This result does not depend on the size of the neutrino wavepackets and therefore has a general character. The validity of the several important applications of the one-particle formalism is thus confirmed.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We investigate whether coherent flavor conversion of neutrinos in a neutrino background is substantially modified by many-body effects, with respect to the conventional one-particle effective description.	contribution 0.63	0.63	0.06	unclear 0.52
s1	We study the evolution of a system of interacting neutrino plane waves in a box.	method 0.66	0.93	0.02	asserted 0.81
s2	Using its equivalence to a system of spins, we determine the character of its behavior completely analytically.	method 0.99	0.94	0.03	asserted 1.00
s3	We find that, if the neutrinos are initially in flavor eigenstates, no coherent flavor conversion is realized, in agreement with the effective one-particle description.	result 1.00	0.95	0.84	asserted 1.00
s4	This result does not depend on the size of the neutrino wavepackets and therefore has a general character.	interpretation 0.69	0.86	0.11	asserted 1.00
s5	The validity of the several important applications of the one-particle formalism is thus confirmed.	interpretation 1.00	0.46	0.22	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original abstract

We investigate whether coherent flavor conversion of neutrinos in a neutrino background is substantially modified by many-body effects, with respect to the conventional one-particle effective description. We study the evolution of a system of interacting neutrino plane waves in a box. Using its equivalence to a system of spins, we determine the character of its behavior completely analytically. We find that, if the neutrinos are initially in flavor eigenstates, no coherent flavor conversion is realized, in agreement with the effective one-particle description. This result does not depend on the size of the neutrino wavepackets and therefore has a general character. The validity of the several important applications of the one-particle formalism is thus confirmed.

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References

Forward citations

Cited by 20 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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Coherent Development of Neutrino Flavor in the Supernova Environment
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Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
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The influence of collective neutrino oscillations on a supernova r-process
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Neutrino helicity oscillations in astrophysical environments: A many-body approach
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Many-body neutrino calculations in simple momentum-state configurations yield helicity conversion probabilities orders of magnitude above mean-field results due to momentum exchange.
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How the literature uses it

28 arXiv papers cite this in 38 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 23 sentences without a confident label

Compares with it 3 papers

However, there are important differences between our work and Refs. [ref] .

Neutrino Spectral Split in the Exact Many Body Formalism · Introduction · 0.93
This is the same instability reported in Ref. [ref] where the transition timescale was shown to scale with the number of neutrinos as $∼𝒪(√(N))$.

Many-body effects of collective neutrino oscillations · Many-body flavor evolution · 0.84
[ref] achieved by less elegant means.

Instabilities in neutrino systems induced by interactions with scalars · 4. N neutrino calculations · 0.83

Cites it as support 2 papers

This kind of evolution would be expected in an astrophysical system where the typical time evolution period is much larger than the size of the neutrinos wavepackets, as also postulated in Ref. [ref] .

Do we have enough evidence to invalidate the mean-field approximation adopted to model collective neutrino oscillations? · Size of the wavepacket · 0.96
More evidence for the latter is found in Friedland and Lunardini's analytic solution [ref] of a model of the latter category (real eigenvalues for the perturbations in the mean field equations).

The multi-angle instability in dense neutrino systems · 5. Examination of the the mean field approximation. · 0.99

Cites it as background 10 papers

In this section, we introduce the equations of motion for neutrinos in the mean-field approximation, although many-body descriptions can also be adopted [ref] .

New Developments in Flavor Evolution of a Dense Neutrino Gas · NEUTRINO FLAVOR CONVERSIONS · 0.92
Although there have been some debates about the adequacy of this one-particle picture in the past (e.g., [ref] ), most of the literature on collective neutrino oscillations has adopted the mean-field approach (see, e.g., [ref] for reviews).

Once-in-a-lifetime encounter models for neutrino media: From coherent oscillations to flavor equilibration · Introduction · 0.89
The question whether the one-body analysis leaves out important many-body correlations and entanglement effects goes back to the early days of the field [ref] and has received attention over the years [ref] .

Neutrino many-body flavor evolution: the full Hamiltonian · Introduction · 0.90

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