Abstract
We present evolutionary models of primary stars with initial masses in the range of 30 to 40 \(\mathrm M_{\odot }\), evolving in massive binary systems, possible progenitors of gravitational wave sources. The binary systems have an initial mass ratio of 0.9, an initial orbital period of 3 days and an accretion efficiency of 10%. The evolution of the primary stars in those systems is followed from the main sequence to the formation of the carbon-oxygen core. In addition, the evolution of two primaries with the lowest initial masses is calculated to the iron core formation. The masses of the helium and carbon-oxygen cores formed in primary stars are compared with the masses of cores formed in single stars with the same initial masses. The initial mass limit for the black hole formation for this selected type of massive binaries is established between 32 and 34 \(\mathrm M_{\odot }\). All models are calculated with the MESA (Modules for Experiments in Stellar Astrophysics) numerical code.
Graphic abstract
Similar content being viewed by others
Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request and at Zenodo.org.]
References
B.P. Abbott, R. Abbott, T.D. Abbott, M.R. Abernathy, F. Acernese et al., ApJ 818, 22 (2016a)
B.P. Abbott, R. Abbott, T.D. Abbott, M.R. Abernathy, F. Acernese et al., Phys. Rev. Lett. 116, 241103 (2016b)
B.P. Abbott, R. Abbott, T.D. Abbott, M.R. Abernathy, F. Acernese et al., Phys. Rev. Lett. 116, 061102 (2016c)
B.P. Abbott, R. Abbott, T.D. Abbott, M.R. Abernathy, F. Acernese et al., PhysRevX 9, 031040 (2019)
B.P. Abbott, R.Abbott, T.D. Abbott, M.R. Abernathy, F.Acernese, et al., arXiv:2010.14527 (2020)
K. Belczynski, V. Kalogera, F.A. Rasio, R.E. Taam, A. Zezas, T. Bulik, T.J. Maccarone N. Ivanova et al., ApJS, 174, 223 (2008)
M. Cantiello, S.-C. Yoon, N. Langer, M. Livio et al., A&A 465, 29 (2007)
J.P. de Greve, C. de Loore, A&AS 96, 653 (1992)
C. de Loore, J.P. de Greve, A&AS 94, 453 (1992)
S.E. de Mink, M. Cantiello, N. Langer, O.R. Pols, I. Brott, S.-C. Yoon, A&A 497, 243 (2009)
S.E. de Mink, H. Sana, N. Langer, R.G. Izzard, F.R.N. Schneider, ApJ 782, 7 (2014)
R.G. Detmers, N. Langer, P. Podsiadlowski, R.G. Izzard, A&A 484, 831 (2008)
J.D.M. Dewi, O.R. Pols, MNRAS 344, 629 (2003)
J.D.M. Dewi, P. Podsiadlowski, O.R. Pols, MNRAS 363, 71 (2005)
J.J. Eldridge, R.G. Izzard, C.A. Tout, MNRAS 384, 1109 (2008)
N. Ivanova, K. Belczynski, V. Kalogera, F.A. Rasio, R.E. Taam, ApJ 592, 475 (2003)
D.C. Kippenhahn, K. Kohl, A. Weigert, Zeitschrift fur Astrophys. 66, 58 (1967)
M.U. Kruckow, T.M. Tauris, N. Langer, M. Kramer, R.G. Izzard, MNRAS 481, 1908 (2018)
A. Menon, N. de Mink, S.E. Langer, S. Justham, D. Szécsi, K. Sen, A. de Koter, M. Abdul-Masih, H. Sana, L. Mahy, P. Marchant et al., arXiv:2011.13459, (2020)
T. Nugis, H.J.G.L.M. Lamers, A&A 360, 227 (2000)
B. Paczynski, Acta Astronomica 17, 355 (1967)
B. Paxton, L. Bildsten, A. Dotter, F. Herwig, P. Lesaffre, F. Timmes, ApJS 192, 3 (2011)
B. Paxton, M. Cantiello, P. Arras, L. Bildsten, E.F. Brown, A. Dotter, C. Mankovich, M.H. Montgomery, D. Stello, F.X. Timmes, R. Townsend, ApJS 208, 4 (2013)
B. Paxton, P. Marchant, J. Schwab, E.B. Bauer, L. Bildsten, M. Cantiello, L. Dessart, R. Farmer, H. Hu, N. Langer, R.H.D. Townsend, D.M. Townsley, F.X. Timmes, ApJS 220, 15 (2015)
B. Paxton, J. Schwab, E.B. Bauer, L. Bildsten, S. Blinnikov, P. Duffell, R. Farmer, J.A. Goldberg, P. Marchant, E. Sorokina, A. Thoul, R.H.D. Townsend, F.X. Timmes, ApJS 234, 34 (2018)
J. Petrovic, N. Langer, K.A. van der Hucht, A&A 435, 1013 (2005a)
J. Petrovic, N. Langer, S.-C. Yoon, A. Heger, A&A 435, 247 (2005b)
P. Podsiadlowski, N. Langer, A.J.T. Poelarends, ApJ 612, 1044 (2004)
O.R. Pols, A&A 290, 119 (1994)
D. Reimers. Problems in Stellar Atmospheres and Envelopes, Springer, page 225., (1975)
H. Ritter, A&A 202, 93 (1988)
F.R.N. Schneider, P. Podsiadlowski, B. Muller et al., A&A 645, 5 (2021)
G.E. Soberman, E.S. Phinney, E.P.J. van den Heuvel, A&A 327, 620 (1997)
T.M. Tauris, N. Langer, P. Podsiadlowski, MNRAS 451, 2123 (2015)
T.M. Tauris, M. Kramer, P.C.C. Freire, N. Wex, H.T. Janka, N. Langer, P. Podsiadlowski, E. Bozzo, S. Chaty, M.U. Kruckow, E.P.J. van den Heuvel, J. Antoniadis, R.P. Breton, D.J. Champion, ApJ 846, 170 (2017)
R.K. Ulrich, H.I. Burger et al., ApJ 206, 509 (1976)
E.P.J. van den Heuvel, J. Heise, Nat. Phys. Sci. 239, 67 (1972)
D. Vanbeveren, A&A 105, 260 (1982)
D. Vanbeveren, J.P. de Greve, C. de Loore, E.L. van Dessel, A&A 73, 19 (1979)
F. Verbunt, E.S. Phinney, A&A 296, 709 (1995)
J.S. Vink, A. de Koter, H.J.G.L.M. Lamers, A&A 369, 574 (2001)
S. Wellstein, N. Langer, A&A 350, 148 (1999)
S. Wellstein, N. Langer, H. Braun, A&A 369, 939 (2001)
J.-P. Zahn, A&A 57, 383 (1977)
Acknowledgements
During the work on this paper the authors were financially supported by the Ministry of Education and Science of the Republic of Serbia through the contract 451-03-9/2021-14/200002.
Author information
Authors and Affiliations
Contributions
All the authors were involved in the preparation of the manuscript. All the authors have read and approved the final manuscript.
Corresponding author
Rights and permissions
About this article
Cite this article
Petrovic, J. The evolution of primary stars (30–40 \(\mathrm M_{\odot }\)) in massive close binary systems. Eur. Phys. J. D 75, 162 (2021). https://doi.org/10.1140/epjd/s10053-021-00166-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjd/s10053-021-00166-9