Abstract
We study the effects of high magnetic fields on the particle population and equation of state of hybrid stars using an extended hadronic and quark SU(3) non-linear realization of the sigma model. In this model the degrees of freedom change naturally from hadrons to quarks as the density and/or temperature increases. The effects of high magnetic fields and anomalous magnetic moment are visible in the macroscopic properties of the star, such as mass, adiabatic index, moment of inertia, and cooling curves. Moreover, at the same time that the magnetic fields become high enough to modify those properties, they make the star anisotropic.
Similar content being viewed by others
References
B. Paczynski, Acta Astron. 42, 145 (1992)
A.I. Ibrahim, C. Markwardt, J. Swank, S. Ransom, M. Roberts et al., AIP Conf. Proc. 714, 294 (2004)
E.J. Ferrer, V. de la Incera, J.P. Keith, I. Portillo, P.P. Springsteen, Phys. Rev. C 82, 065802 (2010)
M. Bocquet, S. Bonazzola, E. Gourgoulhon, J. Novak, Astron. Astrophys. 301, 757 (1995)
C.Y. Cardall, M. Prakash, J.M. Lattimer, Astrophys. J. 554, 322 (2001)
A.E. Broderick, M. Prakash, J.M. Lattimer, Phys. Lett. B 531, 167 (2002)
V.C.A. Ferraro, Astrophys. J. 119, 407 (1954)
S. Lander, D. Jones, Mon. Not. R. Astron. Soc. 424, 482 (2012)
L. Rezzolla, F.K. Lamb, S.L. Shapiro, Astrophys. J. 531, L141 (2000)
K. Kiuchi, K. Kotake, Mon. Not. R. Astron. Soc. 385, 1327 (2008)
A. Kurkela, P. Romatschke, A. Vuorinen, Phys. Rev. D 81, 105021 (2010)
A. Kurkela, P. Romatschke, A. Vuorinen, B. Wu, arXiv:1006.4062 (2010)
T. Hatsuda, M. Tachibana, N. Yamamoto, G. Baym, Phys. Rev. Lett. 97, 122001 (2006)
G. Baym, T. Hatsuda, M. Tachibana, N. Yamamoto, J. Phys. G 35, 104021 (2008)
P. Powell, G. Baym, The axial anomaly and three-flavor NJL model with confinement: constructing the QCD phase diagram, in APS Meeting Abstracts (2012) p. 10001
N.M. Bratovic, T. Hatsuda, W. Weise, arXiv:1204.3788 (2012)
O. Lourenco, M. Dutra, A. Delfino, M. Malheiro, Phys. Rev. D 84, 125034 (2011)
O. Lourenco, M. Dutra, T. Frederico, A. Delfino, M. Malheiro, Phys. Rev. D 85, 097504 (2012)
N. Yamamoto, M. Tachibana, T. Hatsuda, G. Baym, Phys. Rev. D 76, 074001 (2007)
N. Yamamoto, JHEP 12, 060 (2008)
H. Abuki, G. Baym, T. Hatsuda, N. Yamamoto, Phys. Rev. D 81, 125010 (2010)
S. Chakrabarty, Phys. Rev. D 54, 1306 (1996)
D. Bandyopadhyay, S. Chakrabarty, S. Pal, Phys. Rev. Lett. 79, 2176 (1997)
A. Rabhi, H. Pais, P.K. Panda, C. Providencia, J. Phys. G 36, 115204 (2009)
L. Paulucci, E.J. Ferrer, V. de la Incera, J.E. Horvath, Phys. Rev. D 83, 043009 (2011)
V.A. Dexheimer, S. Schramm, Phys. Rev. C 81, 045201 (2010)
S. Schramm, R. Negreiros, J. Steinheimer, T. Schurhoff, V. Dexheimer, Acta Phys. Pol. B 43, 749 (2012)
R. Negreiros, V. Dexheimer, S. Schramm, Phys. Rev. C 85, 035805 (2012)
P. Papazoglou, S. Schramm, J. Schaffner-Bielich, H. Stoecker, W. Greiner, Phys. Rev. C 57, 2576 (1998)
J.T. Lenaghan, D.H. Rischke, J. Schaffner-Bielich, Phys. Rev. D 62, 085008 (2000)
P. Papazoglou et al., Phys. Rev. C 59, 411 (1999)
L. Bonanno, A. Drago, Phys. Rev. C 79, 045801 (2009)
V. Dexheimer, S. Schramm, Astrophys. J. 683, 943 (2008)
K. Fukushima, Phys. Lett. B 591, 277 (2004)
C. Ratti, M.A. Thaler, W. Weise, Phys. Rev. D 73, 014019 (2006)
S. Roessner, C. Ratti, W. Weise, Phys. Rev. D 75, 034007 (2007)
Z. Fodor, S. Katz, JHEP 04, 050 (2004)
Y. Aoki, G. Endrodi, Z. Fodor, S. Katz, K. Szabo, Nature 443, 675 (2006) hep-lat/0611014
W. Lin, B.A. Li, J. Xu, C.M. Ko, D.H. Wen, Phys. Rev. C 83, 045802 (2011)
C. Lenzi, A. Schneider, C. Providencia, R. Marinho, Phys. Rev. C 82, 015809 (2010)
B. Agrawal, Phys. Rev. D 81, 023009 (2010)
H. Chen, M. Baldo, G. Burgio, H.J. Schulze, Phys. Rev. D 84, 105023 (2011)
T. Endo, Phys. Rev. C 83, 068801 (2011)
T.K. Herbst, J.M. Pawlowski, B.J. Schaefer, Phys. Lett. B 696, 58 (2011)
L. McLerran, R.D. Pisarski, Nucl. Phys. A 796, 83 (2007)
G.J. Mao, A. Iwamoto, Z.X. Li, Chin. J. Astron. Astrophys. 3, 359 (2003)
S. Weinberg, Phys. Rev. Lett. 65, 1181 (1990)
I.-S. Suh, G.J. Mathews, F. Weber, astro-ph/0110069 (2001)
A. Perez Martinez, H. Perez Rojas, H.J. Mosquera Cuesta, M. Boligan, M.G. Orsaria, Int. J. Mod. Phys. D 14, 1959 (2005)
R.G. Felipe, A.P. Martinez, H.P. Rojas, M. Orsaria, Phys. Rev. C 77, 015807 (2008)
D. Menezes, M. Benghi Pinto, S. Avancini, A. Perez Martinez, C. Providencia, Phys. Rev. C 79, 035807 (2009)
D. Menezes, M. Benghi Pinto, S. Avancini, C. Providência, Phys. Rev. C 80, 065805 (2009)
S.S. Avancini, D.P. Menezes, C. Providência, Phys. Rev. C 83, 065805 (2011)
M. D'Elia, S. Mukherjee, F. Sanfilippo, Phys. Rev. D 82, 051501 (2010)
A.J. Mizher, M. Chernodub, E.S. Fraga, Phys. Rev. D 82, 105016 (2010)
R. Gatto, M. Ruggieri, Phys. Rev. D 83, 034016 (2011)
A. Broderick, M. Prakash, J. Lattimer, Astrophys. J. 537, 351 (2000)
C.Y. Ryu, T. Maruyama, T. Kajino, G.J. Mathews, M.K. Cheoun, Phys. Rev. C 85, 045803 (2012)
R.C. Tolman, Phys. Rev. 55, 364 (1939)
J. Oppenheimer, G. Volkoff, Phys. Rev. 55, 374 (1939)
G. Baym, C. Pethick, P. Sutherland, Astrophys. J. 170, 299 (1971)
H. Chen, M. Baldo, G. Burgio, H.J. Schulze, Phys. Rev. D 84, 105023 (2011)
M. Chaichian, S. Masood, C. Montonen, A. Perez Martinez, H. Perez Rojas, Phys. Rev. Lett. 84, 5261 (2000)
A.P. Martinez, H. Rojas, H.J. Mosquera Cuesta, Eur. Phys. J. C 29, 111 (2003)
A. Perez Martinez, H. Perez Rojas, H. Mosquera Cuesta, Int. J. Mod. Phys. D 17, 2107 (2008)
M. Orsaria, I.F. Ranea-Sandoval, H. Vucetich, Astrophys. J. 734, 41 (2011)
M. Sinha, B. Mukhopadhyay, arXiv:1005.4995 (2010)
I. Bednarek, A. Brzezina, R. Manka, M. Zastawny-Kubica, Nucl. Phys. A 716, 245 (2003)
F. Weber, Pulsars as Astrophysical Laboratories for Nuclear and Particle Physics, 1st edition (IOP, Bristol, 1999)
E.H. Gudmundsson, C.J. Pethick, R.I. Epstein, Astrophys. J. Lett. 259, L19 (1982)
E.H. Gudmundsson, C.J. Pethick, R.I. Epstein, Astrophys. J. 272, 286 (1983)
D. Page, U. Geppert, F. Weber, Nucl. Phys. A 777, 497 (2006)
D. Blaschke, T. Klahn, D. Voskresensky, Astrophys. J. 533, 406 (2000)
D. Yakovlev, A. Kaminker, O.Y. Gnedin, P. Haensel, Phys. Rep. 354, 1 (2001)
N. Iwamoto, Ann. Phys. 141, 1 (1982)
D. Page, J.M. Lattimer, M. Prakash, A.W. Steiner, Astrophys. J. Suppl. 155, 623 (2004)
E. Flowers, N. Itoh, Astrophys. J. 250, 750 (1981)
P. Haensel, Nucl. Phys. B Proc. Suppl. 24, 23 (1991)
D. Page, J.M. Lattimer, M. Prakash, A.W. Steiner, Astrophys. J. 707, 1131 (2009)
D.N. Aguilera, J.A. Pons, J.A. Miralles, Astrophys. J. 673, L167 (2008)
D.N. Aguilera, J.A. Pons, J.A. Miralles, Astron. Astrophys. 486, 255 (2008)
Y. Xie, S.N. Zhang, arXiv:1110.3869 (2011)
R. Negreiros, S. Schramm, F. Weber, Phys. Rev. D 85, 104019 (2012)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by S. Hands
Rights and permissions
About this article
Cite this article
Dexheimer, V., Negreiros, R. & Schramm, S. Hybrid stars in a strong magnetic field. Eur. Phys. J. A 48, 189 (2012). https://doi.org/10.1140/epja/i2012-12189-y
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2012-12189-y