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Grant support

The PhD grant of MS is funded by the OCEVU Labex (ANR-11-LABX-0060), which also provided financial support to this project. We also benefited from financial support from the theory project Galactic Dark Matter funded by CNRS-IN2P3. We further acknowledge support from the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreements No 690575 and No 674896; beside recurrent institutional funding by CNRS-IN2P3 and the University of Montpellier.

Analysis of institutional authors

Lacroix, ThomasCorresponding Author

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Article

Anatomy of Eddington-like inversion methods in the context of dark matter searches

Publicated to:JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS. 2018 (9): - 2018-09-26 2018(9), DOI: 10.1088/1475-7516/2018/09/040

Authors: Lacroix, Thomas; Stref, Martin; Lavalle, Julien;

Affiliations

CNRS, Pl Eugene Bataillon, F-34095 Montpellier 05, France - Author
Univ Montpellier, LUPM, Pl Eugene Bataillon, F-34095 Montpellier 05, France - Author

Abstract

Irrespective of the dark matter (DM) candidate, several potentially observable signatures derive from the velocity distribution of DM in halos, in particular in the Milky Way (MW) halo. Examples include direct searches for weakly-interacting massive particles (WIMPs), p-wave suppressed or Sommerfeld-enhanced annihilation signals, microlensing events of primordial black holes (PBHs), etc. Most current predictions are based on the Maxwellian approximation which is not only theoretically inconsistent in bounded systems, but also not supported by cosmological simulations. A more consistent method sometimes used in calculations for direct WIMP searches relies on the so-called Eddington inversion method, which relates the DM phase-space distribution function (DF) to its mass density profile and the total gravitational potential of the system. Originally built upon the isotropy assumption, this method can be extended to anisotropic systems. We investigate these inversion methods in the context of Galactic DM searches, motivated by the fact that the MW is a strongly constrained system, and should be even more so with the ongoing Gaia survey. We still draw conclusions that apply to the general case. In particular, we illustrate how neglecting the radial boundary of the DM halo leads to theoretical inconsistencies. We also show that several realistic configurations of the DM halo and the MW baryonic content entail ill-defined DFs, significantly restricting the configuration space over which these inversion methods can apply. We propose consistent solutions to these issues. Finally, we compute several observables inferred from constrained Galactic mass models relevant to DM searches (WIMPs or PBHs), e.g. moments and inverse moments of the DM speed and relative speed distributions.

Keywords

Dark matter theoryDynamicsEquilibriumGalaxiesGalaxy dynamicsHaloMassMilky-wayModelsSemi-analytic modelingSpherical stellar-systemsStabilityStar-clusters

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2018, it was in position 13/69, thus managing to position itself as a Q1 (Primer Cuartil), in the category Astronomy & Astrophysics.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.28. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 1.76 (source consulted: FECYT Feb 2024)
  • Field Citation Ratio (FCR) from Dimensions: 19.11 (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-17, the following number of citations:

  • WoS: 29
  • Scopus: 42
  • OpenCitations: 37

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-17:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 9.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 9 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 0.75.
  • The number of mentions on the social network X (formerly Twitter): 3 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: France.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (LACROIX, THOMAS) .

the author responsible for correspondence tasks has been LACROIX, THOMAS.