Abstract
We revisit the properties of relativistic and quantum complex systems of massive white dwarfs (WDs) using a modern equation of state (EoS) which accounts for electron-ion interactions among lattice nuclei, and which makes use of the latest experimental atomic mass data. We estimate the mass density thresholds for the onset of nuclear reactions in the cores of massive WDs and study the impact of microscopic stability on the structure and stability of different WD constitutions. We focus on the properties of massive carbon and oxygen white dwarfs, taking into account the electron capture and pycnonuclear fusion reactions instabilities. Our results indicate that pycnonuclear reactions turn carbon WDs unstable while for oxygen WDs their instability is due to the inverse β −decay (electron capture) process. We highlight that these dynamical nuclear processes are of great relevance for assessment of stability of these quantum complex systems of massive WDs, since they constrain their maximum masses.
Similar content being viewed by others
References
S.O. Kepler, A.D. Romero, I. Pelisoli, G. Ourique, . Int. J. Mod. Phys. Conf. 45, 1760023 (2017). https://doi.org/10/gfs2fb.00258
R. Kippenhahn, A. Weigert, A. Weiss. Stellar Structure and Evolution (Springer Science & Business Media, New York, 2012), p. 02360
M.A. Barstow, S. Jordan, D. O’Donoghue, M.R. Burleigh, R. Napiwotzki, M.K. Harrop-Allin, . MNRAS. 277, 971 (1995)
B. Külebi, S. Jordan, E. Nelan, U. Bastian, M. Altmann, . Astron. Astrophys. 524, A36 (2010). https://doi.org/10.1051/0004-6361/201015237
J. Liebert, G.D. Schmidt, R.F. Green, H.S. Stockman, J.T. McGraw, . ApJ. 264, 262 (1983). https://doi.org/10.1086/160593
G.D. Schmidt, P. Bergeron, J. Liebert, R.A. Saffer, . ApJ. 394, 603 (1992). https://doi.org/10.1086/171613
S. Mereghetti, A. Tiengo, P. Esposito, N. La Palombara, G.L. Israel, L. Stella, . Science. 325, 1222 (2009). https://doi.org/10.1126/science.1176252
S. Mereghetti, F. Pintore, P. Esposito, N. La Palombara, A. Tiengo, G.L. Israel, L. Stella, . Mon. Notices Royal Astron. Soc. 458(4), 3523 (2016). https://doi.org/10.1093/mnras/stw536
M.F. Sousa, J.G. Coelho, J.C.N. de Araujo, . Mon. Notices Royal Astron. Soc. 498(3), 4426 (2020). https://doi.org/10.1093/mnras/staa2683
M. Malheiro, J.A. Rueda, R. Ruffini, . Publ. Astron. Soc. Japan. 64(3), 56 (2012). https://doi.org/10.1093/pasj/64.3.56
J.G. Coelho, M. Malheiro, . Publ. Astron. Soc. Japan. 66(1), 14 (2014). https://doi.org/10.1093/pasj/pst014
R.V. Lobato, M. Malheiro, J.G. Coelho, . Int. J. Modern Phys. D. 25(9), 1641025 (2016). https://doi.org/10.1142/S021827181641025X
D.L. Cáceres, S.M. de Carvalho, J.G. Coelho, R.C.R. de Lima, J.A. Rueda, . Mon. Notices Royal Astron. Soc. 465(4), 4434–4440 (2016). https://doi.org/10.1093/mnras/stw3047
S.V. Borges, C.V. Rodrigues, J.G. Coelho, M. Malheiro, M. Castro, . Astrophys. J. 895(1), 26 (2020). https://doi.org/10.3847/1538-4357/ab8add
L.G. Althaus, E. García-Berro, J. Isern, A.H. Córsico, . Astron. Astrophys. 441(2), 689 (2005). https://doi.org/10.1051/0004-6361:20052996
L.G. Althaus, E. García-Berro, J. Isern, A.H. Córsico, R.D. Rohrmann, . Astron. Astrophys. 465(1), 249 (2007). https://doi.org/10.1051/0004-6361:20066059
B.G. Castanheira, S.O. Kepler, S.J. Kleinman, A. Nitta, L. Fraga, . MNRAS. 430 (1), 50 (2013). https://doi.org/10.1093/mnras/sts474
J.J. Hermes, S.O. Kepler, B.G. Castanheira, A. Gianninas, D.E. Winget, M.H. Montgomery, W.R. Brown, . S.T. Harrold, apjl. 771(1), L2 (2013). https://doi.org/10.1088/2041-8205/771/1/L2
B. Curd, A. Gianninas, K.J. Bell, M. Kilic, A.D. Romero, C. Allende Prieto, D.E. Winget, K.I. Winget, . MNRAS. 468(1), 239 (2017). https://doi.org/10.1093/mnras/stx320
M.E. Camisassa, L.G. Althaus, A.H. Córsico, F.C. De Gerónimo, M.M. Miller Bertolami, M.L. Novarino, R.D. Rohrmann, F.C. Wachlin, E. García-Berro, . Astron. Astrophys. 625, A87 (2019). https://doi.org/10.1051/0004-6361/201833822
N.P. Gentile Fusillo, P.E. Tremblay, B.T. Gänsicke, C.J. Manser, T. Cunningham, E. Cukanovaite, M. Hollands, T. Marsh, R. Raddi, S. Jordan, S. Toonen, S. Geier, M. Barstow, J.D. Cummings, . Mon. Notices Royal Astron. Soc. 482(4), 4570 (2018). https://doi.org/10.1093/mnras/sty3016
F.M. Jiménez-Esteban, S. Torres, A. Rebassa-Mansergas, G. Skorobogatov, E. Solano, C. Cantero, C. Rodrigo, . MNRAS. 480(4), 4505 (2018). https://doi.org/10.1093/mnras/sty2120
M.F. Sousa, J.G. Coelho, J.C.N. de Araujo, . Mon. Notices Royal Astron. Soc. 492(4), 5949–5955 (2020). https://doi.org/10.1093/mnras/staa205
E. Otoniel, J.G. Coelho, M. Malheiro, F. Weber, arXiv:2010.12441 (2020)
S. Subramanian, B Mukhopadhyay, . MNRAS. 454(1), 752 (2015). https://doi.org/10.1093/mnras/stv1983
J.M. Silverman, M. Ganeshalingam, W. Li, A.V. Filippenko, A.A. Miller, D. Poznanski, . MNRAS. 410(1), 585 (2011). https://academic.oup.com/mnras/article/410/1/585/1036265
R.A. Scalzo, et al., . ApJ. 713, 1073 (2010). https://doi.org/10.1088/0004-637X/713/2/1073/meta
D.A. Howell, et al., . Natur. 443, 308 (2006). https://www.nature.com/articles/nature05103
M. Hicken, P.M. Garnavich, J.L. Prieto, S. Blondin, D.L. DePoy, R.P. Kirshner, J. Parrent, . ApJ. 669, L17 (2007). https://doi.org/10.1086/523301/meta
M. Yamanaka, et al., . ApJ. 707, L118 (2009). https://doi.org/10.1088/0004-637X/707/2/L118/meta
S. Taubenberger, S. Benetti, M. Childress, R. Pakmor, S. Hachinger, P. Mazzali, V. Stanishev, N. Elias-Rosa, I. Agnoletto, F. Bufano, et al., . MNRAS. 412(4), 2735 (2011). https://doi.org/10.1111/j.1365-2966.2010.18107.x
S.O. Kepler, S.J. Kleinman, A. Nitta, D. Koester, B.G. Castanheira, O. Giovannini, A.F.M. Costa, L. Althaus, . MNRAS. 375(4), 1315 (2007). https://doi.org/10.1111/j.1365-2966.2006.11388.x
M. Ilkov, N. Soker, . MNRAS. 419(2), 1695 (2012). https://academic.oup.com/mnras/article/419/2/1695/989583
R. Moll, C. Raskin, D. Kasen, S. Woosley, . ApJ. 785, 105 (2014). https://doi.org/10.1088/0004-637X/785/2/105/meta
S. Ji, R.T. Fisher, E. García-Berro, P. Tzeferacos, G. Jordan, D. Lee, P. Lorén-Aguilar, P. Cremer, J. Behrends, . ApJ. 773(2), 136 (2013). https://doi.org/10.1088/0004-637X/773/2/136/meta
D.R. van Rossum, R. Kashyap, R. Fisher, R.T. Wollaeger, E. García-Berro, G. Aznar-Siguán, S. Ji, P. Lorén-Aguilar, . ApJ. 827(2), 128 (2016). https://doi.org/10.3847/0004-637X/827/2/128/meta
U. Das, B. Mukhopadhyay, . MPLA. 29(07), 1450035 (2014). https://doi.org/10.1142/S0217732314500357
D. Adam, . Astron. Astrophys. 160, 95 (1986). http://adsabs.harvard.edu/full/1986A
J.P. Ostriker, F. Hartwick, . ApJ. 153, 797 (1968). https://doi.org/10.1086/149706
U. Das, B. Mukhopadhyay, . PRD. 86(4), 042001 (2012). https://doi.org/10.1103/PhysRevD.86.042001
J.G. Coelho, R.M. Marinho, M. Malheiro, R. Negreiros, D.L. Cáceres, J.A. Rueda, R. Ruffini, . ApJ. 794(1), 86 (2014). https://doi.org/10.1088/0004-637X/794/1/86/meta
N. Chamel, A.F. Fantina, P.J. Davis, . PRD. 88(8), 081301(R) (2013). https://doi.org/10.1103/PhysRevD.88.081301
V. Liccardo, M. Malheiro, M.S. Hussein, B.V. Carlson, T. Frederico, . Europ. Phys. J. A. 54(12), 221 (2018). https://doi.org/10.1140/epja/i2018-12648-5
B. Franzon, S. Schramm, . PRD. 92(8), 083006 (2015). https://doi.org/10.1103/PhysRevD.92.083006
S. Chandrasekhar. An Introduction to the Study of Stellar Structure (Univ Chicago Press, New York, 1939)
E. Otoniel, B. Franzon, G.A. Carvalho, M. Malheiro, S. Schramm, F. Weber, . Astrophys. J. 879(1), 46 (2019). https://doi.org/10.3847/1538-4357/ab24d1
S. Chandrasekhar, R.F. Tooper, . ApJ. 139, 1396 (1964). https://doi.org/10.1086/147883
P. Bera, D. Bhattacharya, . Mon. Notices Royal Astron. Soc. 456(3), 3375 (2016). https://doi.org/10.1093/mnras/stv2823
G. Carvalho, R. Marinho, M. Malheiro, . Gen. Rel. Grav. 50(4), 38 (2018). https://doi.org/10.1007/s10714-018-2354-8
N. Chamel, A.F. Fantina, . PRD. 92, 023008 (2015). https://doi.org/10.1103/PhysRevD.92.023008
L.R. Gasques, A.V. Afanasjev, E.F. Aguilera, M. Beard, L.C. Chamon, P. Ring, M. Wiescher, D.G. Yakovlev, . PRC. 72(2), 025806 (2005). https://doi.org/10.1103/PhysRevC.72.025806
K. Boshkayev, J.A. Rueda, R. Ruffini, I. Siutsou, . ApJ. 762(2), 117 (2013). https://doi.org/10.1088/0004-637X/762/2/117/meta
N. Chamel, E. Molter, A. Fantina, D.P. Arteaga, . PRD. 90(4), 043002 (2014). https://doi.org/10.1103/PhysRevD.90.043002
D.G. Yakovlev, L.R. Gasques, A.V. Afanasjev, M. Beard, M. Wiescher, . PRC. 74 (3), 035803 (2006). https://doi.org/10.1103/PhysRevC.74.035803
E. Chiosi, C. Chiosi, P. Trevisan, L. Piovan, M. Orio, . Mon. Notices Royal Astron. Soc. 448(3), 2100 (2015). https://doi.org/10.1093/mnras/stv084
E.E. Salpeter, . ApJ. 134, 669 (1961). http://adsabs.harvard.edu/full/1961ApJ...134..669S
T. Hamada, E.E. Salpeter, . ApJ. 134, 683 (1961). https://doi.org/10.1086/147195
M. Wang, G. Audi, A.H. Wapstra, F.G. Kondev, M. MacCormick, X. Xu, B. Pfeiffer, . ChPhC. 36(12), 1603 (2012). https://doi.org/10.1088/1674-1137/36/12/003/meta
G. Audi, M. Wang, A.H. Wapstra, F.G. Kondev, M. MacCormick, X. Xu, B. Pfeiffer, . ChPhC. 36(12), 1287 (2012). https://doi.org/10.1088/1674-1137/36/12/002/meta
S.L. Shapiro, S.A. Teukolsky. Black Holes White Dwarfs and Neutron Stars: The Physics of Compact Objects (Wiley, New York, 2008)
J.M. Pearson, S. Goriely, N. Chamel, . PRC. 83(6), 065810 (2011). https://doi.org/10.1103/PhysRevC.83.065810
G. Gamow, . PhRv. 55(8), 718 (1939). https://doi.org/10.1103/PhysRev.55.718
A.B. Balantekin, C.A. Bertulani, M.S. Hussein, . Nucl. Phys. A. 627, 324 (1997). https://doi.org/10.1016/S0375-9474(97)00589-7
M. Ueda, A.J. Sargeant, M.P. Pato, M.S. Hussein, . Prog. Theor. Phys. Suppl. 146, 634 (2002). https://doi.org/10.1143/PTPS.146.634
M.A. Cândido Ribeiro, L.C. Chamon, D. Pereira, M.S. Hussein, D. Galetti, . PRL. 78, 3270 (1997). https://doi.org/10.1103/PhysRevLett.78.3270
L.C. Chamon, et al., . PRL. 79, 5218 (1997). https://doi.org/10.1103/PhysRevLett.79.5218
M. Rotondo, J.A. Rueda, R. Ruffini, S.S. Xue, . Phys. Rev. D. 84, 084007 (2011). https://doi.org/10.1103/PhysRevD.84.084007
J.R. Oppenheimer, G.M. Volkoff, . PhRv. 55(4), 374 (1939). https://doi.org/10.1103/PhysRev.55.374
R.C. Tolman, . PhRv. 55(4), 364 (1939). https://doi.org/10.1103/PhysRev.55.364https://doi.org/10.1103/PhysRev.55.364
B. Golf, J. Hellmers, F. Weber, PRC 80(1), https://doi.org/10.1103/PhysRevC.80.015804https://doi.org/10.1103/PhysRevC.80.015804 (2009)
U. Das, B. Mukhopadhyay, . PRL. 110(7), 071102 (2013). https://doi.org/10.1103/PhysRevLett.110.071102
U. Das, B. Mukhopadhyay, A.R. Rao, . ApJ. 767 (1), L14 (2013). https://doi.org/10.1088/2041-8205/767/1/L14. http://stacks.iop.org/2041-8205/767/i=1/a=L14?key=crossref.302d00cc31bcb5b7d8658fce3d99e40c
P. Lesaffre, Z. Han, C.A. Tout, P. Podsiadlowski, R.G. Martin, . MNRAS. 368, 187 (2006). https://doi.org/10.1111/j.1365-2966.2006.10068.x
Funding
M.M. acknowledges financial support from FAPESP under the thematic project 13/26258-4, CAPES, CNPq, and INCT-FNA (Proc. No. 464898/2014-5). E.0. is grateful for the support of Pró-Reitoria de Pesquisa e Inovação - EDITAL 01/2020/PRPI/UFCA. J.G.C. is grateful for support of CNPq (421265/2018-3 and 305369/2018-0).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Malheiro, M., Otoniel, E. & Coelho, J.G. Relevance of Dynamical Nuclear Processes in Quantum Complex Systems of Massive White Dwarfs. Braz J Phys 51, 223–230 (2021). https://doi.org/10.1007/s13538-020-00840-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13538-020-00840-0