Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Compact object of HESS J1731-347 and its implication on neutron star matter

Prasanta Char1,2,* and Bhaskar Biswas3,†

  • *Contact author: prasanta.char@usal.es
  • Contact author: phybhaskar95@gmail.com

Phys. Rev. D 113, 044002 – Published 2 February, 2026

DOI: https://doi.org/10.1103/f8dq-t7ky

Abstract

In this work, we investigate the impact of the possibility of a small, subsolar mass compact star, such as the recently reported central compact object of HESS J1731-347, on the equation of state (EOS) of neutron stars. We have used a hybrid approach to the nuclear EOS developed recently where the matter around nuclear saturation density is described by a parametric expansion in terms of nuclear empirical parameters and represented in an agnostic way at higher density using piecewise polytropes. We have incorporated the inputs provided by the latest neutron skin measurement experiments from PREX-II and CREX, simultaneous mass-radius measurements of pulsars PSR J0030+0451 and PSR J0740+6620, and the gravitational wave events GW170817 and GW190425. The main results of the study show the effect of HESS J1731-347 on the nuclear parameters and neutron star observables. Our analysis yields the slope of symmetry energy L=45.7122.11+38.18MeV, the radius of a 1.4M star, R1.4=12.180.88+0.71km, and the maximum mass of a static star, Mmax=2.140.17+0.26M within 90% confidence interval, respectively.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (73)

  1. Victor Doroshenko, Valery Suleimanov, Gerd Pühlhofer, and Andrea Santangelo, A strangely light neutron star within a supernova remnant, Nat. Astron. 6, 1444 (2022).
  2. Liam Brodie and Alexander Haber, Nuclear and hybrid equations of state in light of the low-mass compact star in HESS J1731-347, Phys. Rev. C 108, 025806 (2023).
  3. Kaixuan Huang, Hong Shen, Jinniu Hu, and Ying Zhang, Hadronic equation of state of low-mass neutron stars from a relativistic mean-field model with tensor couplings, Phys. Rev. D 109, 043036 (2024).
  4. Jia Jie Li and Armen Sedrakian, Baryonic models of ultra-low-mass compact stars for the central compact object in HESS J1731-347, Phys. Lett. B 844, 138062 (2023).
  5. Sebastian Kubis, Włodzimierz Wójcik, David Alvarez Castillo, and Noemi Zabari, Relativistic mean-field model for the ultracompact low-mass neutron star HESS J1731-347, Phys. Rev. C 108, 045803 (2023).
  6. Hauke Koehn et al., From existing and new nuclear and astrophysical constraints to stringent limits on the equation of state of neutron-rich dense matter, Phys. Rev. X 15, 021014 (2025).
  7. Zhiqiang Miao, Liqiang Qi, Juan Zhang, Ang Li, and Mingyu Ge, Thermal x-ray studies of neutron stars and the equation of state, Phys. Rev. D 109, 123005 (2024).
  8. Francesco Di Clemente, Alessandro Drago, and Giuseppe Pagliara, Is the compact object associated with HESS J1731-347 a strange quark star? A possible astrophysical scenario for its formation, Astrophys. J. 967, 159 (2024).
  9. J. E. Horvath, L. S. Rocha, L. M. de Sá, P. H. R. S. Moraes, L. G. Barão, M. G. B. de Avellar, A. Bernardo, and R. R. A. Bachega, A light strange star in the remnant HESS J1731347: Minimal consistency checks, Astron. Astrophys. 672, L11 (2023).
  10. P. T. Oikonomou and Ch. C. Moustakidis, Color-flavor locked quark stars in light of the compact object in the HESS J1731-347 and the GW190814 event, Phys. Rev. D 108, 063010 (2023).
  11. Ishfaq Ahmad Rather, Grigoris Panotopoulos, and Ilídio Lopes, Quark models and radial oscillations: Decoding the HESS J1731-347 compact object’s equation of state, Eur. Phys. J. C 83, 1065 (2023).
  12. Wen-Li Yuan and Ang Li, Two-flavor color superconducting quark stars may not exist, Astrophys. J. 966, 3 (2024).
  13. P. Laskos-Patkos, P. S. Koliogiannis, and Ch. C. Moustakidis, Hybrid stars in light of the HESS J1731-347 remnant and the PREX-II experiment, Phys. Rev. D 109, 063017 (2024).
  14. Bikai Gao, Yan Yan, and Masayasu Harada, Reconciling constraints from the supernova remnant HESS J1731-347 with the parity doublet model, Phys. Rev. C 109, 065807 (2024).
  15. Mauro Mariani, Ignacio F. Ranea-Sandoval, Germán Lugones, and Milva G. Orsaria, Could a slow stable hybrid star explain the central compact object in HESS J1731-347?, Phys. Rev. D 110, 043026 (2024).
  16. Violetta Sagun, Edoardo Giangrandi, Tim Dietrich, Oleksii Ivanytskyi, Rodrigo Negreiros, and Constança Providência, What is the nature of the HESS J1731-347 compact object?, Astrophys. J. 958, 49 (2023).
  17. Pinku Routaray, H. C. Das, Jeet Amrit Pattnaik, and Bharat Kumar, Dark matter admixed neutron star in the light of HESS J1731-347 and PSR J0952-0607, Int. J. Mod. Phys. E 33, 2450052 (2024).
  18. N. K. Glendenning, Compact Stars: Nuclear Physics, Particle Physics, and General Relativity (Springer, New York, 1997), p. 390.
  19. J. A. J. Alford and J. P. Halpern, Do central compact objects have carbon atmospheres?, Astrophys. J. 944, 36 (2023).
  20. Bernhard Müller, Alexander Heger, and Jade Powell, Minimum neutron star mass in neutrino-driven supernova explosions, Phys. Rev. Lett. 134, 071403 (2025).
  21. Shu-Rui Zhang, J. A. Rueda Hernandez, and Rodrigo Negreiros, Can the central compact object in HESS J1731-347 be indeed the lightest neutron star observed?, Astrophys. J. 978, 1 (2025).
  22. John Antoniadis et al., A massive pulsar in a compact relativistic binary, Science 340, 6131 (2013).
  23. H. Thankful Cromartie et al., Relativistic Shapiro delay measurements of an extremely massive millisecond pulsar, Nat. Astron. 4, 72 (2019).
  24. E. Fonseca et al., Refined mass and geometric measurements of the high-mass PSR J0740+6620, Astrophys. J. Lett. 915, L12 (2021).
  25. B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), GW170817: Observation of gravitational waves from a binary neutron star inspiral, Phys. Rev. Lett. 119, 161101 (2017).
  26. B. P. Abbott et al. (LIGO Scientific, Virgo, Fermi GBM, INTEGRAL, IceCube, AstroSat Cadmium Zinc Telluride Imager Team, IPN, Insight-Hxmt, ANTARES, Swift, AGILE Team, 1M2H Team, Dark Energy Camera GW-EM, DES, DLT40, GRAWITA, Fermi-LAT, ATCA, ASKAP, Las Cumbres Observatory Group, OzGrav, DWF (Deeper Wider Faster Program), AST3, CAASTRO, VINROUGE, MASTER, J-GEM, GROWTH, JAGWAR, CaltechNRAO, TTU-NRAO, NuSTAR, Pan-STARRS, MAXI Team, TZAC Consortium, KU, Nordic Optical Telescope, ePESSTO, GROND, Texas Tech University, SALT Group, TOROS, BOOTES, MWA, CALET, IKI-GW Follow-up, H.E.S.S., LOFAR, LWA, HAWC, Pierre Auger, ALMA, Euro VLBI Team, Pi of Sky, Chandra Team at McGill University, DFN, ATLAS Telescopes, High Time Resolution Universe Survey, RIMAS, RATIR, and SKA South Africa/MeerKAT Collaborations), Multi-messenger observations of a binary neutron star merger, Astrophys. J. Lett. 848, L12 (2017).
  27. Thomas E. Riley et al., A NICER View of PSR J0030+0451: Millisecond pulsar parameter estimation, Astrophys. J. Lett. 887, L21 (2019).
  28. M. C. Miller et al., PSR J0030+0451 mass and radius from NICER data and implications for the properties of neutron star matter, Astrophys. J. Lett. 887, L24 (2019).
  29. Thomas E. Riley et al., A NICER view of the massive pulsar PSR J0740+6620 informed by radio timing and XMM-newton spectroscopy, Astrophys. J. Lett. 918, L27 (2021).
  30. M. C. Miller et al., The radius of PSR J0740+6620 from NICER and XMM-Newton data, Astrophys. J. Lett. 918, L28 (2021).
  31. D. Adhikari et al. (PREX Collaboration), Accurate determination of the neutron skin thickness of Pb208 through parity-violation in electron scattering, Phys. Rev. Lett. 126, 172502 (2021).
  32. D. Adhikari et al. (CREX Collaboration), Precision determination of the neutral weak form factor of Ca48, Phys. Rev. Lett. 129, 042501 (2022).
  33. K. Hebeler, J. M. Lattimer, C. J. Pethick, and A. Schwenk, Equation of state and neutron star properties constrained by nuclear physics and observation, Astrophys. J. 773, 11 (2013).
  34. I. Tews, T. Krüger, K. Hebeler, and A. Schwenk, Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory, Phys. Rev. Lett. 110, 032504 (2013).
  35. J. E. Lynn, I. Tews, J. Carlson, S. Gandolfi, A. Gezerlis, K. E. Schmidt, and A. Schwenk, Chiral three-nucleon interactions in light nuclei, neutron-α scattering, and neutron matter, Phys. Rev. Lett. 116, 062501 (2016).
  36. Christian Drischler, Kai Hebeler, and Achim Schwenk, Asymmetric nuclear matter based on chiral two- and three-nucleon interactions, Phys. Rev. C 93, 054314 (2016).
  37. C. Drischler, K. Hebeler, and A. Schwenk, Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation, Phys. Rev. Lett. 122, 042501 (2019).
  38. S. Huth, C. Wellenhofer, and A. Schwenk, New equations of state constrained by nuclear physics, observations, and QCD calculations of high-density nuclear matter, Phys. Rev. C 103, 025803 (2021).
  39. C. Drischler, J. W. Holt, and C. Wellenhofer, Chiral effective field theory and the high-density nuclear equation of state, Annu. Rev. Nucl. Part. Sci. 71, 403 (2021).
  40. Bhaskar Biswas, Prasanta Char, Rana Nandi, and Sukanta Bose, Towards mitigation of apparent tension between nuclear physics and astrophysical observations by improved modeling of neutron star matter, Phys. Rev. D 103, 103015 (2021).
  41. Bhaskar Biswas, Rana Nandi, Prasanta Char, Sukanta Bose, and Nikolaos Stergioulas, GW190814: On the properties of the secondary component of the binary, Mon. Not. R. Astron. Soc. 505, 1600 (2021).
  42. Bhaskar Biswas, Impact of PREX-II and combined radio/NICER/XMM-Newton’s mass-radius measurement of PSR J0740+6620 on the dense-matter equation of state, Astrophys. J. 921, 63 (2021).
  43. Tathagata Ghosh, Bhaskar Biswas, and Sukanta Bose, Simultaneous inference of neutron star equation of state and the Hubble constant with a population of merging neutron stars, Phys. Rev. D 106, 123529 (2022).
  44. Tathagata Ghosh, Bhaskar Biswas, Sukanta Bose, and Shasvath J. Kapadia, Joint inference of population, cosmology, and neutron star equation of state from gravitational waves of dark binary neutron stars, Astrophys. J. Suppl. Ser. 281, 11 (2025).
  45. B. Alex Brown and A. Schwenk, Constraints on skyrme equations of state from properties of doubly magic nuclei and Ab-Initio calculations of low-density neutron matter, Phys. Rev. C 89, 011307 (2014); 91, 049902(E) (2015).
  46. Jérôme Margueron, Rudiney Hoffmann Casali, and Francesca Gulminelli, Equation of state for dense nucleonic matter from metamodeling. I. Foundational aspects, Phys. Rev. C 97, 025805 (2018).
  47. C. Y. Tsang, B. A. Brown, F. J. Fattoyev, W. G. Lynch, and M. B. Tsang, Constraints on skyrme equations of state from doubly magic nuclei, Ab-Initio calculations of low-density neutron matter, and neutron stars, Phys. Rev. C 100, 062801 (2019).
  48. M. Oertel, M. Hempel, T. Klähn, and S. Typel, Equations of state for supernovae and compact stars, Rev. Mod. Phys. 89, 015007 (2017).
  49. M. Dutra, O. Lourenco, J. S. Sa Martins, A. Delfino, J. R. Stone, and P. D. Stevenson, Skyrme interaction and nuclear matter constraints, Phys. Rev. C 85, 035201 (2012).
  50. M. Dutra, O. Lourenço, S. S. Avancini, B. V. Carlson, A. Delfino, D. P. Menezes, C. Providência, S. Typel, and J. R. Stone, Relativistic mean-field hadronic models under nuclear matter constraints, Phys. Rev. C 90, 055203 (2014).
  51. Jocelyn S. Read, Benjamin D. Lackey, Benjamin J. Owen, and John L. Friedman, Constraints on a phenomenologically parameterized neutron-star equation of state, Phys. Rev. D 79, 124032 (2009).
  52. Gordon Baym, Christopher Pethick, and Peter Sutherland, The ground state of matter at high densities: Equation of state and stellar models, Astrophys. J. 170, 299 (1971).
  53. J. Aasi et al. (LIGO Scientific Collaboration), Advanced LIGO, Classical Quantum Gravity 32, 074001 (2015).
  54. F. Acernese et al. (VIRGO Collaboration), Advanced Virgo: A second-generation interferometric gravitational wave detector, Classical Quantum Gravity 32, 024001 (2015).
  55. B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Properties of the binary neutron star merger GW170817, Phys. Rev. X 9, 011001 (2019).
  56. B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), GW190425: Observation of a compact binary coalescence with total mass 3.4M, Astrophys. J. Lett. 892, L3 (2020).
  57. T. E. Riley, A. L. Watts, S. Bogdanov, P. S. Ray, R. M. Ludlam, S. Guillot, Z. Arzoumanian, C. L. Baker, A. V. Bilous, D. Chakrabarty et al., A NICER View of PSR J0030 + 0451: Nested Samples for Millisecond Pulsar Parameter Estimation (2019), 10.5281/zenodo.3386449.
  58. T. E. Riley, A. L. Watts, P. S. Ray et al., A NICER View of the Massive Pulsar PSR J0740 + 6620 Informed by Radio Timing and XMM-Newton Spectroscopy: Nested Samples for Millisecond Pulsar Parameter Estimation (2021), 10.5281/zenodo.4697625
  59. M. C. Miller et al., NICER PSR J0030+0451 Illinois-Maryland MCMC samples (2019), 10.5281/zenodo.3473466.
  60. M. C. Miller, F. K. Lamb, A. J. Dittmann et al., NICER PSR J0740+6620 Illinois-Maryland MCMC Samples (2021).
  61. Victor Doroshenko, Valery F. Suleimanov, Gerd Pühlhofer, and Andrea Santangelo, MCMC samples for X-ray spectra fits summarised in the paper “A strangely light neutron star” (2022).
  62. G. Raaijmakers et al., Constraining the dense matter equation of state with joint analysis of NICER and LIGO/Virgo measurements, Astrophys. J. Lett. 893, L21 (2020).
  63. Skipper Seabold and Josef Perktold, statsmodels: Econometric and statistical modeling with python, in Proceedings of the 9th Python in Science Conference (2010).
  64. Reed Essick, Ingo Tews, Philippe Landry, and Achim Schwenk, Astrophysical constraints on the symmetry energy and the neutron skin of Pb208 with minimal modeling assumptions, Phys. Rev. Lett. 127, 192701 (2021).
  65. X. Viñas, M. Centelles, X. Roca-Maza, and M. Warda, Density dependence of the symmetry energy from neutron skin thickness in finite nuclei, Eur. Phys. J. A 50, 27 (2014).
  66. S. K. Tripathy, D. Behera, T. R. Routray, and B. Behera, Constraining nuclear symmetry energy parameters from neutron skin thickness of Ca48, arXiv:2009.00427.
  67. J. Buchner, A. Georgakakis, K. Nandra, L. Hsu, C. Rangel, M. Brightman, A. Merloni, M. Salvato, J. Donley, and D. Kocevski, X-ray spectral modelling of the AGN obscuring region in the CDFS: Bayesian model selection and catalogue, Astron. Astrophys. 564, A125 (2014).
  68. Brendan T. Reed, F. J. Fattoyev, C. J. Horowitz, and J. Piekarewicz, Implications of PREX-2 on the equation of state of neutron-rich matter, Phys. Rev. Lett. 126, 172503 (2021).
  69. Brendan T. Reed, F. J. Fattoyev, C. J. Horowitz, and J. Piekarewicz, Density dependence of the symmetry energy in the post-PREX-CREX era, Phys. Rev. C 109, 035803 (2024).
  70. Hoa Dinh Thi, Chiranjib Mondal, and Francesca Gulminelli, The nuclear matter density functional under the nucleonic hypothesis, Universe 7, 373 (2021).
  71. Chiranjib Mondal and Francesca Gulminelli, Nucleonic metamodeling in light of multimessenger, PREX-II, and CREX data, Phys. Rev. C 107, 015801 (2023).
  72. Prasanta Char, Chiranjib Mondal, Francesca Gulminelli, and Micaela Oertel, Generalized description of neutron star matter with a nucleonic relativistic density functional, Phys. Rev. D 108, 103045 (2023).
  73. Devarshi Choudhury et al., A NICER View of the Nearest and Brightest Millisecond Pulsar: PSR J0437-4715, Astrophys. J. Lett. 971, L20 (2024).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation