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PreprintCC BY 4.0arXiv

Holographic Soliton Crystals for Dense Nuclear Matter and Neutron Stars

Abstract

We construct a nuclear-matter equation of state (EOS) from holographic QCD in the Witten-Sakai-Sugimoto (WSS) model, going beyond the homogeneous ansatz by building dense baryonic matter more directly from the solitonic description of holographic baryons. Employing the two-baryon interaction potential obtained from the linearized soliton tails sourced in the curved background by point-like (core) instantons, we assemble an infinite face-centered cubic (FCC) crystal with nearest neighbors in the most attractive channel as an approximation to the quantum liquid of baryons and compute the energy density ℰ(nB), the chemical potential μB, and the pressure P. We calibrate the symmetric-matter EOS by fixing the 't Hooft coupling λ and the WSS scale MKK to saturation-density and onset-chemical-potential properties, and by including a quark-mass term to reproduce the physical pion mass mπ=135 MeV. This fit turns out to remain reasonably close to the parameters required by the vacuum meson sector, while their modification is consistent with Brown-Rho scaling in a dense medium, and the incompressibility at saturation is of the correct order of magnitude, both in clear contrast to the homogeneous approximation. We then extend to beta-equilibrated matter, using phenomenological input for the symmetry energy, and obtain hybrid EOS and neutron-star observables that are compatible with the NICER constraints.

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BibTeX
@misc{bartolini2026holographic,
  title = {{Holographic Soliton Crystals for Dense Nuclear Matter and Neutron Stars}},
  author = {Lorenzo Bartolini and Sven Bjarke Gudnason and Jonas Mager and Anton Rebhan},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.19125},
  eprint = {2607.19125},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.19125},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Holographic Soliton Crystals for Dense Nuclear Matter and Neutron Stars
AU  - Lorenzo Bartolini
AU  - Sven Bjarke Gudnason
AU  - Jonas Mager
AU  - Anton Rebhan
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2607.19125
UR  - https://arxiv.org/abs/2607.19125
AB  - We construct a nuclear-matter equation of state (EOS) from holographic QCD in the Witten-Sakai-Sugimoto (WSS) model, going beyond the homogeneous ansatz by building dense baryonic matter more directly from the solitonic description of holographic baryons. Employing the two-baryon interaction potential obtained from the linearized soliton tails sourced in the curved background by point-like (core) instantons, we assemble an infinite face-centered cubic (FCC) crystal with nearest neighbors in the most attractive channel as an approximation to the quantum liquid of baryons and compute the energy density ℰ(n_B), the chemical potential μ_B, and the pressure P. We calibrate the symmetric-matter EOS by fixing the 't Hooft coupling λ and the WSS scale M_KK to saturation-density and onset-chemical-potential properties, and by including a quark-mass term to reproduce the physical pion mass m_π=135 MeV. This fit turns out to remain reasonably close to the parameters required by the vacuum meson sector, while their modification is consistent with Brown-Rho scaling in a dense medium, and the incompressibility at saturation is of the correct order of magnitude, both in clear contrast to the homogeneous approximation. We then extend to beta-equilibrated matter, using phenomenological input for the symmetry energy, and obtain hybrid EOS and neutron-star observables that are compatible with the NICER constraints.
ER  -