- Letter
- Access by Xinjiang University
Strong model-agnostic constraints for twin-star solutions
Phys. Rev. D 113, L111504 – Published 23 June, 2026
DOI: https://doi.org/10.1103/f48x-c4zt
Abstract
Twin stars, i.e., pairs of compact stars with identical masses but distinct radii, have long been considered a potential signature of a phase transition in dense QCD matter. Using a model-agnostic equation-of-state (EOS) inference setup, we show that once constraints from chiral effective field theory, perturbative QCD, and current multimessenger observations are simultaneously imposed, such solutions are strongly suppressed. The remaining viable EOSs occupy two highly fine-tuned regions in parameter space, characterized by either a discontinuous early onset phase transition or a rapid crossover at higher density, the latter coupled with a distinctive double-peaked speed of sound. Given that neither class features a conformalization of the EOS upon entering the second branch, we argue that the standard twin-star scenario linking the mass-radius discontinuity to deconfinement can be effectively ruled out.
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References (85)
- U. H. Gerlach, Phys. Rev. 172, 1325 (1968).
- J. Schaffner-Bielich, M. Hanauske, H. Stoecker, and W. Greiner, Phys. Rev. Lett. 89, 171101 (2002).
- M. Alford, M. Braby, M. W. Paris, and S. Reddy, Astrophys. J. 629, 969 (2005).
- S. Benic, D. Blaschke, D. E. Alvarez-Castillo, T. Fischer, and S. Typel, Astron. Astrophys. 577, A40 (2015).
- D. Alvarez-Castillo, A. Ayriyan, S. Benic, D. Blaschke, H. Grigorian, and S. Typel, Eur. Phys. J. A 52, 69 (2016).
- J.-E. Christian and J. Schaffner-Bielich, Astrophys. J. Lett. 894, L8 (2020).
- J.-E. Christian and J. Schaffner-Bielich, Astrophys. J. 935, 122 (2022).
- J. J. Li, A. Sedrakian, and M. Alford, J. Cosmol. Astropart. Phys. 02 (2025) 002.
- M. Mendes, J.-E. Christian, F. J. Fattoyev, and J. Schaffner-Bielich, Phys. Rev. D 111, 063007 (2025).
- I. Tews, T. Krüger, K. Hebeler, and A. Schwenk, Phys. Rev. Lett. 110, 032504 (2013).
- J. E. Lynn, I. Tews, J. Carlson, S. Gandolfi, A. Gezerlis, K. E. Schmidt, and A. Schwenk, Phys. Rev. Lett. 116, 062501 (2016).
- C. Drischler, K. Hebeler, and A. Schwenk, Phys. Rev. Lett. 122, 042501 (2019).
- C. Drischler, R. J. Furnstahl, J. A. Melendez, and D. R. Phillips, Phys. Rev. Lett. 125, 202702 (2020).
- C. Drischler, J. A. Melendez, R. J. Furnstahl, and D. R. Phillips, Phys. Rev. C 102, 054315 (2020).
- J. Keller, K. Hebeler, and A. Schwenk, Phys. Rev. Lett. 130, 072701 (2023).
- F. Alp, Y. Dietz, K. Hebeler, and A. Schwenk, Phys. Rev. C 112, 055802 (2025).
- A. Kurkela, P. Romatschke, and A. Vuorinen, Phys. Rev. D 81, 105021 (2010).
- T. Gorda, A. Kurkela, R. Paatelainen, S. Säppi, and A. Vuorinen, Phys. Rev. D 104, 074015 (2021).
- T. Gorda, A. Kurkela, R. Paatelainen, S. Säppi, and A. Vuorinen, Phys. Rev. Lett. 127, 162003 (2021).
- T. Gorda, R. Paatelainen, S. Säppi, and K. Seppänen, Phys. Rev. Lett. 131, 181902 (2023).
- A. Kärkkäinen, P. Navarrete, M. Nurmela, R. Paatelainen, K. Seppänen, and A. Vuorinen, Phys. Rev. Lett. 135, 021901 (2025).
- P. Demorest, T. Pennucci, S. Ransom, M. Roberts, and J. Hessels, Nature (London) 467, 1081 (2010).
- J. Antoniadis et al., Science 340, 1233232 (2013).
- E. Fonseca, T. Pennucci, J. Ellis et al., Astrophys. J. 832, 167 (2016).
- H. T. Cromartie, E. Fonseca, S. M. Ransom et al.(NANOGrav Collaboration), Nat. Astron. 4, 72 (2019).
- E. Fonseca et al., Astrophys. J. Lett. 915, L12 (2021).
- B. P. Abbott, R. Abbott, and T. D. Abbott (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 119, 161101 (2017).
- B. P. Abbott, R. Abbott, T. D. Abbott, and F. Acernese (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 121, 161101 (2018).
- A. W. Shaw, C. O. Heinke, A. W. Steiner, S. Campana, H. N. Cohn, W. C. G. Ho, P. M. Lugger, and M. Servillat, Mon. Not. R. Astron. Soc. 476, 4713 (2018).
- A. W. Steiner, C. O. Heinke, S. Bogdanov, C. Li, W. C. G. Ho, A. Bahramian, and S. Han, Mon. Not. R. Astron. Soc. 476, 421 (2018).
- J. Nättilä, M. C. Miller, A. W. Steiner, J. J. E. Kajava, V. F. Suleimanov, and J. Poutanen, Astron. Astrophys. 608, A31 (2017).
- M. C. Miller, F. K. Lamb, A. J. Dittmann et al., Astrophys. J. Lett. 887, L24 (2019).
- 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, K. C. Gendreau, A. K. Harding, W. C. G. Ho, J. M. Lattimer, S. M. Morsink, and T. E. Strohmayer, Astrophys. J. Lett. 887, L21 (2019).
- M. C. Miller et al., Astrophys. J. Lett. 918, L28 (2021).
- T. E. Riley et al., Astrophys. J. Lett. 918, L27 (2021).
- K. Hebeler, J. M. Lattimer, C. J. Pethick, and A. Schwenk, Astrophys. J. 773, 11 (2013).
- A. Kurkela, E. S. Fraga, J. Schaffner-Bielich, and A. Vuorinen, Astrophys. J. 789, 127 (2014).
- E. Annala, T. Gorda, A. Kurkela, and A. Vuorinen, Phys. Rev. Lett. 120, 172703 (2018).
- E. R. Most, L. R. Weih, L. Rezzolla, and J. Schaffner-Bielich, Phys. Rev. Lett. 120, 261103 (2018).
- I. Tews, J. Margueron, and S. Reddy, Phys. Rev. C 98, 045804 (2018).
- P. Landry and R. Essick, Phys. Rev. D 99, 084049 (2019).
- C. D. Capano, I. Tews, S. M. Brown, B. Margalit, S. De, S. Kumar, D. A. Brown, B. Krishnan, and S. Reddy, Nat. Astron. 4, 625 (2020).
- M. C. Miller, C. Chirenti, and F. K. Lamb, Astrophys. J. 888, 12 (2020).
- R. Essick, P. Landry, and D. E. Holz, Phys. Rev. D 101, 063007 (2020).
- G. Raaijmakers, S. K. Greif, T. E. Riley et al., Astrophys. J. Lett. 893, L21 (2020).
- T. Dietrich, M. W. Coughlin, P. T. H. Pang, M. Bulla, J. Heinzel, L. Issa, I. Tews, and S. Antier, Science 370, 1450 (2020).
- P. Landry, R. Essick, and K. Chatziioannou, Phys. Rev. D 101, 123007 (2020).
- M. Al-Mamun, A. W. Steiner, J. Nättilä, J. Lange, R. O’Shaughnessy, I. Tews, S. Gandolfi, C. Heinke, and S. Han, Phys. Rev. Lett. 126, 061101 (2021).
- R. Essick, I. Tews, P. Landry, and A. Schwenk, Phys. Rev. Lett. 127, 192701 (2021).
- G. Raaijmakers, S. K. Greif, K. Hebeler, T. Hinderer, S. Nissanke, A. Schwenk, T. E. Riley, A. L. Watts, J. M. Lattimer, and W. C. G. Ho, Astrophys. J. Lett. 918, L29 (2021).
- E. Annala, T. Gorda, E. Katerini, A. Kurkela, J. Nättilä, V. Paschalidis, and A. Vuorinen, Phys. Rev. X 12, 011058 (2022).
- S. Huth, P. T. H. Pang, I. Tews et al., Nature (London) 606, 276 (2022).
- S. Altiparmak, C. Ecker, and L. Rezzolla, Astrophys. J. Lett. 939, L34 (2022).
- Y. Lim and J. W. Holt, Galaxies 10, 99 (2022).
- T. Gorda, O. Komoltsev, and A. Kurkela, Astrophys. J. 950, 107 (2023).
- E. Annala, T. Gorda, A. Kurkela, J. Nättilä, and A. Vuorinen, Nat. Phys. 16, 907 (2020).
- E. Annala, T. Gorda, J. Hirvonen, O. Komoltsev, A. Kurkela, J. Nättilä, and A. Vuorinen, Nat. Commun. 14, 8451 (2023).
- O. Komoltsev, R. Somasundaram, T. Gorda, A. Kurkela, J. Margueron, and I. Tews, Phys. Rev. D 109, 094030 (2024).
- A. Ayriyan, O. Ivanytskyi, and D. Blaschke, arXiv:2509.02554.
- G. Montana, L. Tolos, M. Hanauske, and L. Rezzolla, Phys. Rev. D 99, 103009 (2019).
- G. Baym, C. Pethick, and P. Sutherland, Astrophys. J. 170, 299 (1971).
- C. Drischler, S. Han, J. M. Lattimer, M. Prakash, S. Reddy, and T. Zhao, Phys. Rev. C 103, 045808 (2021).
- T. Gorda, O. Komoltsev, A. Kurkela, and A. Mazeliauskas, J. High Energy Phys. 06 (2023) 002.
- B. P. Abbott, R. Abbott, T. D. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. X 9, 011001 (2019).
- Z. Arzoumanian, A. Brazier, S. Burke-Spolaor et al. (NANOGrav Collaboration), Astrophys. J. Suppl. Ser. 235, 37 (2018).
- D. Choudhury, T. Salmi, S. Vinciguerra et al., Astrophys. J. Lett. 971, L20 (2024).
- L. Mauviard, S. Guillot, T. Salmi et al., Astrophys. J. 995, 60 (2025).
- A. W. Shaw, C. O. Heinke, A. W. Steiner, S. Campana, H. N. Cohn, W. C. G. Ho, P. M. Lugger, and M. Servillat, Mon. Not. R. Astron. Soc. 476, 4713 (2018).
- J. Nättilä, A. W. Steiner, J. J. E. Kajava, V. F. Suleimanov, and J. Poutanen, Astron. Astrophys. 591, A25 (2016).
- B. Müller, A. Heger, and J. Powell, Phys. Rev. Lett. 134, 071403 (2025).
- J. G. Martinez, K. Stovall, P. C. C. Freire, J. S. Deneva, F. A. Jenet, M. A. McLaughlin, M. Bagchi, S. D. Bates, and A. Ridolfi, Astrophys. J. 812, 143 (2015).
We note that while the Bayes factor still contains a residual dependence on the EOS parametrization we have used, it is not sensitive to the different prior volumes of the two model classes. While our full ensemble consists of approx. models, of which only about correspond to twin-star solutions, we have verified that determining from two ensembles of equal size yields values that differ from the present ones only in the fourth decimal place.
- T. Zhou and C. Huang, arXiv:2504.08662.
- O. Papadopoulos and A. Schmitt, J. Subatomic Part. Cosmol. 4, 100221 (2025).
The nearly linear upper edge of the prior, corresponding to a slope of , arises from the upper bound of our prior on . Since our posterior distributions are peaked far from this edge, this cut does not impact our results.
- T. Gorda, K. Hebeler, A. Kurkela, A. Schwenk, and A. Vuorinen, Astrophys. J. 955, 100 (2023).
These remaining marginally viable solutions satisfy the upper bound on the compactness recently pointed out in [78] and previously found in Ref. [51].
- L. Rezzolla and C. Ecker, SciPost Phys. 20, 014 (2026).
Note that there is a small number of class-1 EOSs, virtually indistinguishable from the rest, where the transition is a very rapid crossover instead of a genuine FOPT.
- Y. Fujimoto, K. Fukushima, K. Hotokezaka, and K. Kyutoku, Phys. Rev. Lett. 130, 091404 (2023).
- M. Marczenko, L. McLerran, K. Redlich, and C. Sasaki, Phys. Rev. C 107, 025802 (2023).
- C. Ecker, N. Jokela, and M. Järvinen, Phys. Rev. D 113, L041302 (2026).
- J. Schaffner-Bielich, M. Hanauske, H. Stoecker, and W. Greiner, Phys. Rev. Lett. 89, 171101 (2002).
- L. McLerran and S. Reddy, Phys. Rev. Lett. 122, 122701 (2019).
- Y. Kini et al., arXiv:2602.23743.