arxiv: 2604.12839 · v1 · submitted 2026-04-14 · 🌌 astro-ph.HE · astro-ph.GA· astro-ph.SR

Recognition: unknown

The role of accretion efficiency, natal kicks, and angular momentum transport in the formation of the Gaia black holes

Michela Mapelli , Cecilia Sgalletta , Johanna M\"uller-Horn , Giuliano Iorio , Stefano Rinaldi , Christian Burt , Daniel Mar\'in Pina , Amedeo Romagnolo

Authors on Pith no claims yet

Pith reviewed 2026-05-10 14:27 UTC · model grok-4.3

classification 🌌 astro-ph.HE astro-ph.GAastro-ph.SR

keywords Gaia black holesdormant black holesbinary evolutionmass transfernatal kickscommon envelopeangular momentum loss

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The pith

Non-conservative mass transfer with donor-wind angular momentum loss best reproduces the orbital periods and eccentricities of known Gaia black holes.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper explores how dormant black holes paired with low-mass stars can form in isolated binaries to explain the three Gaia systems already detected. It runs large sets of population-synthesis simulations that vary how efficiently mass is accreted, whether mass transfer is stable or leads to common-envelope phases, the size of supernova kicks, and how angular momentum is carried away. Models that treat stable mass transfer as highly non-conservative and remove angular momentum via a wind from the donor star's surface keep the orbit from shrinking too far, producing periods and eccentricities closest to the observed ones. This matters because it shapes predictions for how many more such hidden black holes Gaia will find and what their properties will be. The same models also indicate that low-efficiency common-envelope ejection creates periods that are too short and that reduced natal kicks would overproduce very wide, nearly circular systems.

Core claim

In models of isolated binary evolution, highly non-conservative stable mass transfer in which angular momentum is lost as a wind from the donor surface maximizes the formation rate of dormant black-hole systems whose orbital periods and eccentricities match the three known Gaia black holes, because this assumption prevents the initial orbit from shrinking excessively when the black-hole progenitor fills its Roche lobe. Common-envelope models with ejection efficiency alpha less than one instead produce periods that are too short. The eccentricities of the observed systems favor natal kicks comparable in size to those inferred for Galactic neutron stars, while models with low kicks modulated,

What carries the argument

Jeans-mode angular momentum loss during stable mass transfer, in which ejected mass carries away the specific angular momentum of the donor star.

If this is right

Highly non-conservative Jeans-mode mass transfer is needed to keep orbits wide enough to match the observed Gaia black holes.
Common-envelope evolution with alpha less than one produces orbital periods too short to be consistent with the known systems.
Eccentricities of the Gaia black holes require relatively large natal kicks similar to those of neutron stars.
Low natal kicks produce many long-period low-eccentricity dormant black holes that will be testable in the next Gaia data release.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The emphasis on isolated channels implies dynamical formation routes in clusters are less important for these wide systems.
More detections could place direct limits on common-envelope ejection efficiency, favoring values at or above one.
The mode of angular momentum removal during mass transfer appears more decisive than the precise fraction of mass accreted.

Load-bearing premise

The three known Gaia black holes formed exclusively through isolated binary evolution and are representative of the larger population.

What would settle it

Gaia DR4 either detecting or failing to detect a substantial population of dormant black holes with orbital periods above 10,000 days and low eccentricity would test whether low natal kicks are viable.

Figures

Figures reproduced from arXiv: 2604.12839 by Amedeo Romagnolo, Cecilia Sgalletta, Christian Burt, Daniel Mar\'in Pina, Giuliano Iorio, Johanna M\"uller-Horn, Michela Mapelli, Stefano Rinaldi.

**Figure 1.** Figure 1: Corner plot showing the orbital period, eccentricity, BH mass (MBH) and companion star mass (M∗) in the simulations of model Afb. In this model, natal kicks are drawn from DM25 and modulated by fallback, the rapid CCSN model is assumed (Fryer et al. 2012), the accretion efficiency is fa = 0.5, angular momentum transport follows the isotropic re-emission assumption, the critical mass ratios for mass-transfe… view at source ↗

**Figure 2.** Figure 2: Same as [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗

**Figure 3.** Figure 3: Same as [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗

**Figure 4.** Figure 4: Same as [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗

**Figure 5.** Figure 5: Same as [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗

**Figure 6.** Figure 6: Same as [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗

**Figure 7.** Figure 7: Same as [PITH_FULL_IMAGE:figures/full_fig_p011_7.png] view at source ↗

**Figure 8.** Figure 8: Evolution of the best-matching Gaia BH1-like systems through stable mass transfer. We show model BJ (same model as [PITH_FULL_IMAGE:figures/full_fig_p012_8.png] view at source ↗

read the original abstract

Gaia has the potential to deliver several tens of new dormant black holes (BHs) with low-mass stellar companions (hereafter, Gaia BHs) in the upcoming fourth data release. Three Gaia BHs are already known, but their formation pathways remain uncertain. Here, we perform a large parametric study to explore the formation of Gaia BHs from isolated binary systems with the population-synthesis code SEVN and compare our models with the properties of the three already reported Gaia BHs. Specifically, we explore the impact of accretion efficiency, mass transfer stability, natal kicks, angular momentum transport, and core-collapse supernova prescriptions. We find that models in which stable mass transfer is highly non-conservative and angular momentum is lost as a wind from the donor surface (Jeans mode) maximize the probability of forming dormant systems that match the properties of the observed Gaia BHs in terms of both orbital period and eccentricity, because such assumptions prevent the initial orbit from shrinking too much when the BH progenitor fills its Roche lobe. If we allow for common-envelope evolution, we find that models with common-envelope ejection efficiency $\alpha{} < 1$ predict dormant systems with orbital periods that are too short compared to the observed Gaia BHs. The eccentricity of the observed Gaia BHs, when combined with information about orbital period and BH mass, favors relatively large natal kicks, similar to those inferred from Galactic neutron stars. Finally, models in which the natal kicks are low - e.g. because they are modulated by fallback - result in the formation of a large population of dormant BHs with long orbital periods ($P_{\rm orb}>10^4$ days) and low eccentricity, which will be tested soon by the fourth Gaia data release.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

Non-conservative mass transfer plus Jeans-mode angular momentum loss best reproduces the Gaia BH periods and eccentricities in this SEVN grid, with large kicks also favored.

read the letter

The main result is that models with highly non-conservative stable mass transfer and Jeans-mode angular momentum loss produce the largest fraction of dormant black-hole binaries whose orbital periods and eccentricities overlap the three known Gaia systems. Large natal kicks help match the observed eccentricities, while fallback-modulated low kicks overproduce long-period, low-eccentricity systems that Gaia DR4 should detect or rule out soon. Common-envelope models with alpha below 1 yield periods that are too short compared to the data. The authors reach this by running a broad parameter grid in SEVN that varies accretion efficiency, mass-transfer stability, kick distributions, angular-momentum loss modes, and core-collapse prescriptions, then comparing the output distributions directly to the observed sample. They report relative probabilities rather than absolute claims, which keeps the conclusions proportionate to the three data points. The work is useful because it links concrete binary-physics choices to observable predictions for the next data release and shows why certain assumptions shrink orbits too much during the progenitor phase. The methodology is standard population synthesis, but the systematic scan over the listed parameters and the explicit DR4 test are the concrete additions. The clearest limitation is the reliance on only three systems and the assumption that isolated binary evolution is the sole channel; dynamical formation routes are not modeled here, so the favored combination is best read as a relative ranking within the isolated channel rather than a global statement. With such a small sample the constraints remain loose, but the paper does not overstate them. This is the kind of paper that population-synthesis groups and Gaia follow-up teams will want to read. It deserves a serious referee because the grid is large, the code is established, the predictions are falsifiable, and the central comparative claim holds up on the evidence shown.

Referee Report

2 major / 2 minor

Summary. The manuscript performs a large parametric population-synthesis exploration with the SEVN code of isolated binary channels leading to dormant black-hole + low-mass-star systems (Gaia BHs). It varies accretion efficiency, mass-transfer stability, common-envelope efficiency α, natal-kick distributions, angular-momentum-loss modes (including Jeans), and core-collapse prescriptions, then compares the resulting orbital-period and eccentricity distributions against the three currently known Gaia BHs. The central result is that highly non-conservative stable mass transfer combined with Jeans-mode angular-momentum loss maximizes the fraction of simulated systems whose periods and eccentricities overlap the observed sample; low kicks produce an additional population of long-period, low-eccentricity systems that will be testable with Gaia DR4.

Significance. If the comparative result holds, the work supplies concrete guidance on which binary-evolution assumptions are required to avoid excessive orbital shrinkage in the isolated channel, thereby tightening constraints on mass-transfer and angular-momentum physics that affect all compact-object population predictions. The emphasis on relative probabilities across a broad grid, rather than absolute rates, and the explicit falsifiable prediction for future Gaia detections are strengths.

major comments (2)

[Results section comparing models to Gaia BHs] The conclusion that Jeans-mode angular-momentum loss with highly non-conservative stable mass transfer maximizes the match to the observed periods and eccentricities is load-bearing; the manuscript must report the actual fractions (or probabilities) of matching systems for each combination of parameters and demonstrate that the ranking is robust to Poisson fluctuations given only three observed targets.
[Discussion of natal kicks and eccentricity] The statement that the observed eccentricities favor relatively large natal kicks (comparable to those of Galactic neutron stars) rests on the joint distribution of period, eccentricity, and BH mass; the paper should show the full eccentricity histograms from the low-kick versus high-kick runs and quantify the overlap with the three observed values rather than relying on qualitative description.

minor comments (2)

A compact table summarizing the explored parameter ranges, the number of simulated binaries per model, and the resulting match fractions would make the comparative claims easier to evaluate.
The criteria used to classify a simulated system as 'dormant' and 'Gaia-BH-like' (e.g., BH mass range, companion spectral type, and orbital-period cut) should be stated explicitly in the methods.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment and the detailed, constructive comments. We agree that the quantitative aspects of the model comparisons can be strengthened and will revise the manuscript to incorporate the requested details.

read point-by-point responses

Referee: [Results section comparing models to Gaia BHs] The conclusion that Jeans-mode angular-momentum loss with highly non-conservative stable mass transfer maximizes the match to the observed periods and eccentricities is load-bearing; the manuscript must report the actual fractions (or probabilities) of matching systems for each combination of parameters and demonstrate that the ranking is robust to Poisson fluctuations given only three observed targets.

Authors: We agree that explicit fractions are required to support the claim. In the revised manuscript we will add a table (or supplementary table) reporting the fraction of simulated systems whose orbital periods and eccentricities fall within the observed ranges for every combination of accretion efficiency, angular-momentum-loss mode, and other varied parameters. To address Poisson fluctuations with only three targets, we will include a short statistical discussion noting that the ranking is based on relative probabilities across a large grid and remains stable under modest changes in the matching window; we will also report binomial uncertainties on the fractions. revision: yes
Referee: [Discussion of natal kicks and eccentricity] The statement that the observed eccentricities favor relatively large natal kicks (comparable to those of Galactic neutron stars) rests on the joint distribution of period, eccentricity, and BH mass; the paper should show the full eccentricity histograms from the low-kick versus high-kick runs and quantify the overlap with the three observed values rather than relying on qualitative description.

Authors: We will add a new figure showing the full eccentricity distributions for the low-kick and high-kick model suites. In the accompanying text we will quantify the overlap by reporting the fraction of systems in each suite that simultaneously satisfy the observed eccentricity range, orbital-period range, and black-hole-mass range of the three Gaia BHs. This will replace the current qualitative statement with a direct numerical comparison. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper conducts forward population-synthesis simulations with SEVN, varying parameters (accretion efficiency, mass-transfer stability, natal kicks, angular-momentum transport, supernova prescriptions) across a grid and comparing the resulting orbital-period and eccentricity distributions to the three externally observed Gaia BHs. No parameter is fitted to the target systems; the central result is a relative ranking of model variants for their ability to produce matching systems. No equations reduce outputs to inputs by construction, no self-citation chain supplies a load-bearing uniqueness theorem, and no ansatz is smuggled via prior work. The derivation is self-contained forward modeling against independent observations.

Axiom & Free-Parameter Ledger

4 free parameters · 2 axioms · 0 invented entities

The study rests on the SEVN code's implementation of binary evolution, which encodes numerous standard but uncertain prescriptions for mass transfer, common-envelope evolution, supernova kicks, and angular-momentum transport; no new physical entities are introduced.

free parameters (4)

accretion efficiency during mass transfer
Varied parametrically to control how much mass is retained by the black-hole progenitor and how much the orbit shrinks.
common-envelope ejection efficiency alpha
Explored with values less than 1, which produce orbital periods too short compared with observations.
natal kick velocity distribution
Varied to reproduce the observed eccentricities; low-kick (fallback-modulated) models are disfavored.
angular-momentum loss mode (Jeans vs. other)
Jeans-mode wind loss from the donor surface is identified as optimal for preserving wider orbits.

axioms (2)

domain assumption Isolated binary evolution dominates the formation of Gaia BHs
The entire study is restricted to isolated binaries; dynamical formation channels are not modeled.
domain assumption SEVN prescriptions for stellar structure, mass transfer stability, and core-collapse supernovae are sufficiently accurate
All conclusions depend on the fidelity of the population-synthesis code's built-in physics.

pith-pipeline@v0.9.0 · 5662 in / 1701 out tokens · 61773 ms · 2026-05-10T14:27:09.626077+00:00 · methodology

discussion (0)

Forward citations

Cited by 1 Pith paper

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

$N$-body modelling of the ED-2 stream progenitor shows Gaia BH3's formation involved dynamical interactions
astro-ph.GA 2026-04 unverdicted novelty 5.0

N-body modeling of the ED-2 progenitor shows Gaia BH3 formed as an exchange binary via multiple dynamical interactions in a dense cluster, not in isolation.

Reference graph

Works this paper leans on

2 extracted references · 1 canonical work pages · cited by 1 Pith paper · 1 internal anchor

[1]

GWTC-4.0: Updating the Gravitational-Wave Transient Catalog with Observations from the First Part of the Fourth LIGO-Virgo-KAGRA Observing Run

Abac, A. G., Abouelfettouh, I., Acernese, F., et al. 2025a, arXiv e-prints, arXiv:2508.18082 Abac, A. G., Abouelfettouh, I., Acernese, F., et al. 2025b, arXiv e-prints, arXiv:2508.18083 Abbott, B. P., Abbott, R., Abbott, T. D., et al. 2016, Phys. Rev. Lett., 116, 061102 Atri, P., Miller-Jones, J. C. A., Bahramian, A., et al. 2019, MNRAS, 489, 3116 Balbino...

work page internal anchor Pith review arXiv 2016
[2]

This happens because higher values ofαimply that less orbital energy is requested to eject the CE; hence the orbital separation shrinks less

The figures clearly show that the orbital period distribution of dormant BHs shifts to large values with increasingα. This happens because higher values ofαimply that less orbital energy is requested to eject the CE; hence the orbital separation shrinks less. The same trend can be seen in both models with isotropic re-emission andf a =0.5 and models with ...

2019