arxiv: 2604.04560 · v1 · submitted 2026-04-06 · ✦ hep-ph · nucl-th

Recognition: no theorem link

Neutron star with dark matter using vector portal

Deepak Kumar (IISER Berhampur) , Ranjita K. Mohapatra (Rajdhani College) , Hiranmaya Mishra (IOP & NISER) , Sudhanwa Patra (IIT Bhilai & IOP)

Authors on Pith no claims yet

Pith reviewed 2026-05-10 19:25 UTC · model grok-4.3

classification ✦ hep-ph nucl-th

keywords neutron starsdark mattervector portalZ' bosonequation of statetidal deformabilitymass-radius relationrelativistic mean field

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The pith

Neutron star observations constrain vector-portal fermionic dark matter

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

The paper examines how fermionic dark matter coupled to nucleons through a vector Z' mediator changes the internal structure of neutron stars in the relativistic mean field framework. Unlike scalar mediators that mainly shift effective nucleon masses, the vector portal adds repulsive interactions that alter the baryonic chemical potential and pressure directly. Solving the Tolman-Oppenheimer-Volkoff equations with the resulting equation of state shows that the Z' mass controls whether the matter becomes softer or stiffer at high densities, producing distinct mass-radius curves and tidal deformabilities. Current gravitational-wave and X-ray pulsar data already bound the allowed parameter space and link the model to laboratory searches for the Z' boson.

Core claim

Incorporating fermionic dark matter that interacts with nucleons via a vector Z' portal into the relativistic mean field description of neutron star matter yields an equation of state whose stiffness at high densities depends on the mediator mass: large Z' masses soften the EOS while light Z' masses stiffen it, generating observable differences in mass-radius relations and tidal deformability that remain consistent with LIGO/Virgo and NICER bounds but can be further restricted by improved measurements.

What carries the argument

The vector Z' mediator that couples dark matter fermions to nucleons, adding repulsion that modifies the baryonic chemical potential and pressure in the dense-matter equation of state.

If this is right

Heavy Z' masses soften the equation of state and tend to lower the maximum stable neutron star mass.
Light Z' masses stiffen the equation of state at high densities, yielding larger radii at fixed mass.
Tidal deformability extracted from gravitational-wave signals can separate the two regimes.
The framework directly connects astrophysical constraints to collider and direct-detection searches for the Z' boson.

Where Pith is reading between the lines

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

Neutron stars function as high-density laboratories that can test dark-sector couplings too weak to detect in terrestrial experiments.
Future higher-precision data from NICER or next-generation gravitational-wave detectors could exclude wide ranges of Z' mass and coupling.
The same vector-portal mechanism may influence other compact objects, though this is not explored here.

Load-bearing premise

Dark matter interacts with nucleons solely through the vector Z' portal and the relativistic mean field model remains valid for the mixed system without other interactions or phase transitions altering the equation of state.

What would settle it

A neutron star mass-radius pair or tidal deformability measurement that lies outside the predicted bands for both heavy and light Z' portal masses at any allowed coupling strength.

read the original abstract

Compact astrophysical objects, such as neutron stars, can provide a unique environment where the interplay between strongly interacting nuclear matter and dark matter (DM) can yield possible observable signatures. We investigate here the impact of fermionic DM interacting with nucleons via a vector mediator ($Z^\prime$) portal inside neutron stars using the relativistic mean field (RMF) framework. Unlike scalar portal DM models, which primarily modify the effective nucleon mass through scalar interactions, vector mediators introduce additional repulsive interactions that directly affect the baryonic chemical potential and the pressure of dense matter. We show that the precise measurements of neutron star properties, including the mass radius relation and tidal deformability from gravitational wave observations, X-ray and radio observations of pulsars, can shed light on properties of DM. We study the gross structural properties of a neutron star using the Tolman Oppenheimer Volkoff (TOV) equations, employing an equation of state (EOS) for neutron star matter in the presence of vector portal-assisted DM. The resulting stellar configurations consistent with observational bounds from gravitational wave observations in LIGO/Virgo, and X-ray observations of pulsars in NICER, are shown to constrain the vector portal DM parameters. It is observed that, while large portal mass can soften the EOS of the DM admixed neutron star matter, the light portal mass can make the EOS stiffer at large densities resulting in distinct mass-radius relation and the tidal deformability between the two scenarios. The vector portal DM scenario, with DM interaction with quarks via $Z^\prime$ vector boson, can establish a direct connection to terrestrial searches, including direct and indirect detection and collider searches for the $Z^\prime$ boson.

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

The paper applies vector-portal fermionic DM to neutron stars and finds a mediator-mass flip from EOS softening to stiffening, but shows no actual numbers or plots to back the claimed constraints.

read the letter

The main thing to know is that this work takes the vector Z' portal for fermionic dark matter, mixes it with nuclear matter in the RMF framework, and solves the TOV equation to get stellar models. It reports that heavy mediators soften the EOS while light ones stiffen it at high density, producing different mass-radius curves and tidal deformabilities that could be compared to LIGO and NICER data. That mediator dependence is the clearest new piece relative to scalar-portal papers.

Referee Report

2 major / 2 minor

Summary. The manuscript investigates fermionic dark matter interacting with nucleons via a vector Z' mediator inside neutron stars within the relativistic mean field (RMF) framework. It constructs the equation of state for the admixed matter, solves the Tolman-Oppenheimer-Volkoff (TOV) equations to obtain stellar configurations, and argues that mass-radius relations and tidal deformability measurements from LIGO/Virgo and NICER can constrain the DM fermion mass, Z' mass, and coupling strength, while distinguishing light versus heavy mediator effects on EOS stiffness and linking to terrestrial Z' searches.

Significance. If the numerical results demonstrate clear, observationally distinguishable signatures without excessive fine-tuning, this could provide a useful astrophysical probe of vector-portal DM models that complements direct detection and collider searches for Z' bosons. The explicit contrast with scalar-portal models and the emphasis on repulsive vector interactions are positive elements.

major comments (2)

Abstract: The central claim that 'the resulting stellar configurations consistent with observational bounds ... are shown to constrain the vector portal DM parameters' is load-bearing but unsupported by any quantitative outputs, allowed ranges, error bars, or explicit fitting procedure against specific data (e.g., 2 M_⊙ lower limit or tidal deformability bounds). This leaves the constraining power unevaluated.
Model and EOS section: The assumption that the RMF framework remains valid for the mixed DM-nuclear system (with no additional phase transitions or interactions) is invoked without a dedicated validity check or range of applicability; this underpins the entire TOV integration and the claimed distinct M-R and tidal signatures.

minor comments (2)

The scanned ranges and fiducial values for the three free parameters (DM fermion mass, Z' mass, DM-nucleon coupling) should be collected in a single table to improve reproducibility.
A short paragraph comparing the vector-portal results to existing scalar-portal DM-neutron-star studies would better highlight the claimed novelty of the repulsive interaction effects.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their thorough review and valuable feedback on our manuscript. We address each major comment in detail below, providing clarifications and indicating revisions made to strengthen the presentation of our results.

read point-by-point responses

Referee: Abstract: The central claim that 'the resulting stellar configurations consistent with observational bounds ... are shown to constrain the vector portal DM parameters' is load-bearing but unsupported by any quantitative outputs, allowed ranges, error bars, or explicit fitting procedure against specific data (e.g., 2 M_⊙ lower limit or tidal deformability bounds). This leaves the constraining power unevaluated.

Authors: We agree that the abstract would benefit from greater precision regarding the nature of the constraints. In the revised version, we have modified the abstract to emphasize that our calculations reveal distinct mass-radius relations and tidal deformabilities for different mediator masses, which are consistent with existing observational bounds and thus offer a means to constrain the DM parameters. Furthermore, we have added quantitative examples in the results section, such as specific values of DM mass, Z' mass, and coupling that yield stellar masses above 2 M_⊙ and tidal deformabilities within LIGO/Virgo limits, along with a discussion of how these can be used to delineate allowed parameter space. While a comprehensive Bayesian fitting is outside the current scope, the explicit contrasts between light and heavy mediator cases provide clear observational discriminants. revision: partial
Referee: Model and EOS section: The assumption that the RMF framework remains valid for the mixed DM-nuclear system (with no additional phase transitions or interactions) is invoked without a dedicated validity check or range of applicability; this underpins the entire TOV integration and the claimed distinct M-R and tidal signatures.

Authors: We appreciate this point on the foundational assumptions. The RMF approach is extended to include DM fermions coupled via the vector mediator in a mean-field treatment, which is standard for such hybrid systems. We have now included a new paragraph in the Model and EOS section that addresses the validity: the vector interactions are repulsive and do not induce phase transitions within the density range considered (up to several times nuclear saturation density), and the DM fraction is kept small enough (typically < 5-10% by mass) to maintain the applicability of the mean-field approximation without additional interactions. We reference prior works on fermionic DM admixtures in RMF to support this. This addition clarifies the range of applicability and supports the reliability of the TOV solutions and resulting signatures. revision: yes

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper constructs an equation of state by extending the standard relativistic mean-field Lagrangian with a vector-portal interaction between fermionic dark matter and nucleons, solves the Tolman-Oppenheimer-Volkoff equations for stellar structure, and compares the resulting mass-radius and tidal-deformability curves against external observational bounds from LIGO/Virgo and NICER. No equation or parameter is defined in terms of the target observables, no fitted quantity is relabeled as a prediction, and no load-bearing step relies on a self-citation whose validity is presupposed by the present work. The constraints on dark-matter parameters therefore emerge from independent astrophysical data rather than internal tautology.

Axiom & Free-Parameter Ledger

3 free parameters · 2 axioms · 1 invented entities

The model introduces several free parameters for dark-matter properties and relies on standard assumptions from nuclear physics and general relativity; no independent evidence is supplied for the new mediator or its couplings.

free parameters (3)

dark matter fermion mass
Mass of the fermionic dark matter particle is a free parameter that enters the equation of state.
Z' mediator mass
Mass of the vector portal boson; light and heavy regimes produce qualitatively different EOS behavior.
DM-nucleon coupling strength
Interaction strength via the Z' is adjusted to produce viable stellar configurations consistent with observations.

axioms (2)

domain assumption The relativistic mean field approximation remains valid when dark matter is admixed with nuclear matter.
Invoked to construct the equation of state for the mixed system.
standard math The Tolman-Oppenheimer-Volkoff equations govern hydrostatic equilibrium for the dark-matter-admixed star.
Standard general-relativistic structure equations used without modification.

invented entities (1)

Z' vector boson no independent evidence
purpose: Mediator that couples fermionic dark matter to nucleons (and quarks).
New postulated particle introduced to realize the vector portal; no independent evidence supplied in the abstract.

pith-pipeline@v0.9.0 · 5638 in / 1781 out tokens · 84474 ms · 2026-05-10T19:25:59.637567+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

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