Abstract
The high-density behavior of stellar matter composed of nucleons and leptons under \(\beta \) equilibrium and charge neutrality conditions is studied with the Skyrme parametrizations shown to be consistent (Consistent Skyrme Parametrizations, CSkP) with nuclear matter, pure neutron matter, symmetry energy and its derivatives in a set of 11 constraints [Dutra et al., Phys. Rev. C 85, 035201 (2012)]. The predictions of these parametrizations on the tidal deformabilities related to the GW170817 event are also examined. The CSkP that produce massive neutron stars give a range of \(11.86~\text{ km } \leqslant R_{1.4} \leqslant 12.55~\text{ km }\) for the canonical star radius, in agreement with other theoretical predictions. It is shown that the CSkP are compatible with the region of masses and radii obtained from the analysis of recent data from LIGO and Virgo Collaboration (LVC). A correlation between dimensionless tidal deformability and radius of the canonical star is found, namely, \(\varLambda _{1.4} \approx 3.16\times 10^{-6}R_{1.4}^{7.35}\), with results for the CSkP compatible with the recent range of \(\varLambda _{1.4}=190_{-120}^{+390}\) from LVC. An analysis of the \(\varLambda _1\times \varLambda _2\) graph shows that all the CSkP are compatible with the recent bounds obtained by LVC. Finally, the universal correlation between the moment of inertia and the deformability of a neutron star, named the I-Love relation, is verified for the CSkP; it is also shown to be consistent with the prediction for the moment of inertia of the PSR J0737-3039 primary component pulsar.
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Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study are contained in this published article.]
References
J.M. Lattimer, M. Prakash, Science 304, 536 (2004)
F. Ozel, Nature 441, 1115 (2006)
M.B. Tsang, J.R. Stone, F. Camera, P. Danielewicz, S. Gandolfi, K. Hebeler, C.J. Horowitz, J. Lee, W.G. Lynch, Z. Kohley, R. Lemmon, P. Möller, T. Murakami, S. Riordan, X. Roca-Maza, F. Sammarruca, A.W. Steiner, I. Vidaña, S.J. Yennello, Phys. Rev. C. 86, 015803 (2012)
M. Baldo, G.F. Burgio, Prog. Part. Nucl. Phys 91, 203 (2016)
J.M. Lattimer, M. Prakash, Phys. Rep. 621, 127 (2016)
M. Oertel, M. Hempel, T. Klahn, S. Typel, Rev. Mod. Phys. 89, 015007 (2017)
R.C. Tolman, Phys. Rev. 55, 364 (1939)
J.R. Oppenheimer, G.M. Volkoff, Phys. Rev. 55, 374 (1939)
Tanja Hinderer, Benjamin D. Lackey, Ryan N. Lang, Jocelyn S. Read, Phys. Rev. D 81, 123016 (2010)
Philipe Landry, Bharat Kumar, Astrophys. J. Lett. 868, L22 (2018)
K. Yagi, N. Yunes, Science 341, 365 (2013)
James M. Lattimer, Madappa Prakash, Phys. Rep. 442, 109 (2007)
Jocelyn S. Read, Benjamin D. Lackey, Benjamin J. Owen, John L. Friedman, Phys. Rev. D 79, 124032 (2009)
B.P. Abbott et al. (The LIGO Scientific Collaboration and the Virgo Collaboration). Phys. Rev. Lett. 119, 161101 (2017)
B.P. Abbott et al. (The LIGO Scientific Collaboration and the Virgo Collaboration). Phys. Rev. Lett. 121, 161101 (2018)
J. Aasi et al. (LIGO Scientific Collaboration). Class. Quant. Grav. 32, 074001 (2015)
F. Acernese et al. (Virgo Collaboration). Class. Quant. Grav. 32, 024001 (2015)
B.P. Abbott et al., Astrophys. J. 848, L13 (2017)
A. Goldstein et al., Astrophys. J. 848, L14 (2017)
B.P. Abbott et al., Astrophys. J. 848, L12 (2017)
D.A. Coulter et al., Science 358, 1556 (2017)
E. Troja et al., Nature 551, 71 (2017)
D. Haggard et al., Astrophys. J. Lett. 848, L25 (2017)
G. Hallinan et al., Science 358, 1579 (2017)
B. Kumar, S.K. Biswal, S.K. Patra, Phys. Rev. C. 95, 015801 (2017)
T. Hinderer, Astrophys. J. 677, 1216 (2008)
Thibault Damour, Alessandro Nagar, Phys. Rev. D 80, 084035 (2009)
Taylor Binnington, Eric Poisson, Phys. Rev. D 80, 084018 (2009)
T.H.R. Skyrme, Proc. Roy. Sco. Lond. A 260, 127 (1961)
D. Vautherin, D.M. Brink, Phys. Rev. C 5, 626 (1972)
M. Bender, P.H. Heenen, P.G. Reinhard, Rev. Mod. Phys. 75, 121 (2003)
J.R. Stone, P.G. Reinhard, Prog. Part. Nucl. Phys. 58, 587 (2007)
M. Dutra, O. Lourenço, J.S. Sá Martins, A. Delfino, J.R. Stone, P.D. Stevenson, Phys. Rev. C 85, 035201 (2012)
B.K. Agrawal, S.K. Dhiman, R. Kumar, Phys. Rev. C 73, 034319 (2006)
B.K. Agrawal, S. Shlomo, V.K. Au, Phys. Rev. C 72, 014310 (2005)
L.G. Cao, U. Lombardo, C.W. Shen, N.V. Giai, Phys. Rev. C 73, 014313 (2006)
L.W. Chen, C.M. Ko, B.-A. Li, J. Xu, Phys. Rev. C 82, 024321 (2010)
A.W. Steiner, M. Prakash, J.M. Lattimer, P.J. Ellis, Phys. Rep. 411, 325 (2005)
B. A. Brown, private communication
M. Rashdan, Mod. Phys. Lett. A 15, 1287 (2000)
B.A. Brown, G. Shen, G.C. Hillhouse, J. Meng, A. Trzcińska, Phys. Rev. C 76, 034305 (2007)
P.A.M. Guichon, H.H. Matevosyan, N. Sandulescu, A.W. Thomas, Nucl. Phys. A 772, 1 (2006)
F. Tondeur, M. Brack, M. Farine, J.M. Pearson, Nucl. Phys. A 420, 297 (1984)
J.R. Stone, J.C. Miller, R. Koncewicz, P.D. Stevenson, M.R. Strayer, Phys. Rev. C 68, 034324 (2003)
P. Klüpfel, P.-G. Reinhard, T.J. Bürvenich, J.A. Maruhn, Phys. Rev. C 79, 034310 (2009)
B.M. Santos, M. Dutra, O. Lourenço, A. Delfino, Phys. Rev. C 90, 035203 (2014)
M. Dutra, O. Lourenço, S.S. Avancini, B.V. Carlson, A. Delfino, D.P. Menezes, C. Providência, S. Typel, J.R. Stone, Phys. Rev. C 90, 055203 (2014)
Odilon Lourenço, Mariana Dutra, César H. Lenzi, César V. Flores, Débora P. Menezes, Phys. Rev. C 99, 045202 (2019)
T. Malik, N. Alam, M. Fortin, C. Providência, B.K. Agrawal, T.K. Jha, B. Kumar, S.K. Patra, Phys. Rev. C. 98, 035804 (2018)
F.J. Fattoyev, J. Piekarewicz, C.J. Horowitz, Phys. Rev. Lett. 120, 172702 (2018)
N.K. Glendenning, Compact Stars, 2nd edn. (Springer, New York, 2000)
G. Baym, C. Pethick, P. Sutherland, Astrophys. J. 170, 299 (1971)
J. Piekarewicz, F.J. Fattoyev, Phys. Rev. C 99, 045802 (2019)
T. Malik, B.K. Agrawal, J.N. De, S.K. Samaddar, C. Providência, C. Mondal, T.K. Jha, Phys. Rev. C 99, 052801(R) (2019)
J. Carriere, C. Horowitz, J. Piekarewicz, Astrophys. J. 593, 463 (2003)
C. Gonzalez-Boquera, M. Centelles, X. Viñas, L.M. Robledo, Phys. Lett. B 779, 195 (2018)
C. Gonzalez-Boquera, M. Centelles, X. Viñas, A. Rios, Phys. Rev. C 96, 065806 (2017)
J. Xu, L.-W. Chen, B.-A. Li, H.-R. Ma, Astrophys. J. 697, 1549 (2009)
C. Gonzalez-Boquera, M. Centelles, X. Viñas, T. R. Routray, arXiv:1904.06566 (2019)
S.S. Avancini, L. Brito, Ph Chomaz, D.P. Menezes, C. Providência, Phys. Rev. C 74, 024317 (2006)
J.B. Hartle, Astrophys. J. 150, 1005 (1967)
K. Yagi, N. Yunes, Phys. Rev. D 88, 023009 (2013)
M. Dutra, O. Lourenço, D.P. Menezes, Phys. Rev. C 93, 025806 (2016)
M. Dutra, O. Lourenço, D.P. Menezes, Phys. Rev. C. 94, 049901(E) (2016)
Young-Min Kim, Yeunhwan Lim, Kyujin Kwak, Chang Ho Hyun, Chang-Hwan Le, Phys. Rev. C 98, 065805 (2018)
N. Chamel, A.F. Fantina, J.M. Pearson, S. Goriely, Phys. Rev. C 84, 062802(R) (2011)
S. Goriely, N. Chamel, J.M. Pearson, Phys. Rev. C 82, 035804 (2010)
A.F. Fantina, N. Chamel, J.M. Pearson, S. Goriely, Astron. Astrophys. 559, A128 (2013)
L. Mornas, Eur. Phys. J A 24, 293 (2005)
Jérôme Margueron, Rudiney Hoffmann Casali, Francesca Gulminelli, Phys. Rev. C 97, 025805 (2018)
Jérôme Margueron, Rudiney Hoffmann Casali, Francesca Gulminelli, Phys. Rev. C 97, 025806 (2018)
B. Behera, T.R. Routray, S.K. Tripathy, J. Phys. G: Nucl. Part. Phys. 36, 125105 (2009)
B. Behera, X. Vinas, M. Bhuyan, T.R. Routray, B.K. Sharma, S.K. Patra, J. Phys. G 40, 095105 (2013)
P.G. Krastev, B.-A. Li, J. Phys. G 46, 074001 (2019)
P.B. Demorest, T. Pennucci, S.M. Ransom, M.S.E. Roberts, J.W.T. Hessels, Nature 467, 1081 (2010)
J. Antoniadis, P.C.C. Freire, N. Wex et al., Science 340, 448 (2013)
J. Nättilä, A.W. Steiner, J.J.E. Kajava, V.F. Suleimanov, J. Poutanen, Astron. Astrophys. 591, A25 (2016)
A.W. Steiner, J.M. Lattimer, E.F. Brown, Astrophys. J. 722, 33 (2010)
H. T. Cromartie, et. al., Nature Astron. Lett. (2019); arXiv:1904.06759
Yeunhwan Lim, Jeremy W. Holt, Phys. Rev. Lett. 121, 062701 (2018)
Elias R. Most, Lukas R. Weih, Luciano Rezzolla, Jürgen Schaffner-Bielich, Phys. Rev. Lett. 120, 261103 (2018)
Nai-Bo Zhang, Bao-An Li, J. Phys. G: Nucl. Part. Phys 46, 014002 (2019)
Carolyn A. Raithel, Feryal Ozel, Dimitrios Psaltis, Astrophys. J. Lett. 857, L23 (2018)
I. Tews, J. Margueron, S. Reddy, Phys. Rev. C 98, 045804 (2018)
M.B. Tsang, C.Y. Tsang, P. Danielewicz, W.G. Lynch, F.J. Fattoyev, arXiv:1811.04888
E. Annala, T. Gorda, A. Kurkela, A. Vuorinen, Phys. Rev. Lett. 120, 172703 (2018)
O. Lourenço, M. Dutra, C.H. Lenzi, M. Bhuyan, S.K. Biswal, B.M. Santos, Astrophys. J. 882, 67 (2019)
B.P. Abbott et al. (The LIGO Scientific Collaboration and the Virgo Collaboration). Phys. Rev. X 9, 011001 (2019)
S.S. Avancini, L. Brito, J.R. Marinelli, D.P. Menezes, M.M.W. de Moraes, C. Providência, A.M. Santos, Phys. Rev. C 79, 035804 (2009)
O. Lourenço, C.H. Lenzi, M. Dutra, T. Frederico, M. Bhuyan, R. Negreiros, C.V. Flores, G. Grams, D.P. Menezes. arXiv:1905.07308
C.Y. Tsang, M.B. Tsang, P. Danielewicz, F.J. Fattoyev, W.G. Lynch, Phys. Lett. B 796, 1 (2019)
Acknowledgements
This work is a part of the project INCT-FNA Proc. No. 464898/2014-5, partially supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) under grants 301155/2017-8 (D. P. M.), 310242/2017-7 and 406958/2018-1 (O. L.) and 433369/2018-3 (M. D.), by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) under thematic projects No. 2013/26258-4 (O. L.), 2017/05660-0 (O. L., M. D., M. B.), 2014/26195-5 (M. B.), and National key R&D Program of China, grant No. 2018YFA0404402 (S. K. B.).
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Lourenço, O., Dutra, M., Lenzi, C.H. et al. Consistent Skyrme parametrizations constrained by GW170817. Eur. Phys. J. A 56, 32 (2020). https://doi.org/10.1140/epja/s10050-020-00040-z
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DOI: https://doi.org/10.1140/epja/s10050-020-00040-z