Abstract
We analyzed 186 binary pulsars (BPSRs) in the magnetic field versus spin period (B-P) diagram, where their relations to the millisecond pulsars (MSPs) can be clearly shown. Generally, both BPSRs and MSPs are believed to be recycled and spun-up in binary accreting phases, and evolved below the spin-up line setting by the Eddington accretion rate (\(\dot{M}{\simeq}10^{18}~\mbox{g/s}\)). It is noticed that most BPSRs are distributed around the spin-up line with mass accretion rate \(\dot{M}=10^{16}~\mbox{g/s}\) and almost all MSP samples lie above the spin-up line with \(\dot{M}\sim10^{15}~\mbox{g/s}\). Thus, we calculate that a minimum accretion rate (\(\dot{M}\sim10^{15}~\mbox{g/s}\)) is required for the MSP formation, and physical reasons for this are proposed. In the B-P diagram, the positions of BPSRs and their relations to the binary parameters, such as the companion mass, orbital period and eccentricity, are illustrated and discussed. In addition, for the seven BPSRs located above the limit spin-up line, possible causes are suggested.
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References
Alpar, M.A., Cheng, A.F., Ruderman, M.A., Shaham, J.: Nature 300, 728 (1982)
Antoniadis, J., Bassa, C.G., Wex, N., et al.: Mon. Not. R. Astron. Soc. 412, 580 (2011)
Bhattacharya, D., Srinivasan, G.: In: Lewin, W.H.G., van Paradijs, J., van den Heuvel, E.P.J. (eds.) X-ray Binaries, p. 495. Cambridge University Press, Cambridge (1995)
Bhattacharya, D., van den Heuvel, E.P.J.: Phys. Rep. 203, 1 (1991)
Bradt, H.V.D., McClintock, J.E.: Annu. Rev. Astron. Astrophys. 21, 13 (1983)
Burderi, L., D’Antona, F., Burgay, M.: Astrophys. J. 574, 325 (2002)
Burgray, M., D’Amico, N., Possenti, A., et al.: Nature 426, 531 (2003)
Camenzind, M.: Compact Objects in Astrophysics. Springer, Berlin (2007)
Camilo, F., Thorsett, S.E., Kulkarni, S.R.: Astrophys. J. 421, L15 (1994)
Frank, J., King, A., Raine, D.: Accretion Power in Astrophysics. Cambridge, UK (2002)
Ghosh, P., Lamb, F.K.: Astrophys. J. 217, 578 (1977)
Ghosh, P., Lamb, F.K.: In: van den Heuvel, E.P.J., Rappaport, S.A. (eds.) X-Ray Binaries and Recycled Pulsars, p. 487. Kluwer, Dorddrecht (1992)
Haensel, P., Potelin, A.Y., Yakovlev, D.G.: Neutron Stars. Springer, Berlin (2007)
Hansen, M.S., Phinney, E.S.: Mon. Not. R. Astron. Soc. 294, 569 (1998)
Hartman, J.W., Portegies Zwart, S., Verbunt, F.: Astron. Astrophys. 325, 1031 (1997)
Hasinger, G., van der Klis, M.: Astron. Astrophys. 225, 79 (1989)
Hessels, J.W.T.: AIP Conf. Proc. 1068, 130 (2008)
Hessels, J.W.T., Ransom, S.M., Stairs, I.H., et al.: Science 311, 190 (2006)
Hobbs, G., Archibald, A., Arzoumanian, Z., et al.: Class. Quantum Gravity 27, 4013 (2010)
Kaspi, V.M.: Proc. Natl. Acad. Sci. USA 107, 7147 (2010)
Kaspi, V.M., Johnston, S., Bell, J.F., et al.: Astrophys. J. 423, 43 (1994)
Kluzniak, W., Ruderman, M., Shaham, J., Tavani, M.: Nature 334, 225 (1988)
Kramer, M.: Science 314, 97 (2006)
Kulkarni, A.K., Romanova, M.M.: Mon. Not. R. Astron. Soc. 386, 673 (2008)
Lamb, F.K., Yu, W.: ASP Conf. Ser. 328, 299 (2005)
Lattimer, J.M., Prakash, M.: Science 304, 536 (2004)
Lipunov, V.M., Postnov, K.A.: Astrophys. Space Sci. 106, 103 (1984)
Liu, Q.Z., van Paradijs, J., van den Heuvel, E.P.J.: Astron. Astrophys. 469, 807 (2007)
Lorimer, D.R., Duncan, R.: Living Rev. Relativ. 11, 8 (2008)
Lundgren, S.C., Cordes, J.M., Foster, R.S., et al.: Astrophys. J. 458, L33 (1996)
Lyne, A.G., Smith, F.G.: Pulsar Astronomy. Cambridge University Press, Cambridge (2006)
Lyne, A.G., Burgay, M., Kramer, M., et al.: Science 303, 1153 (2004)
Manchester, R.N.: Science 304, 542 (2004)
Manchester, R.N., Taylor, J.H.: Pulsars. Freeman, New York (1977)
Manchester, R.N., Lyne, A.G., Camilo, J.F., et al.: Mon. Not. R. Astron. Soc. 328, 17 (2001)
Manchester, R.N., Hobbs, G.B., Teoh, A., Hobbs, M.: Astron. J. 129, 1993 (2005)
McLaughlin, M.: Chandra proposal, 1862 (2004)
Melatos, A., Payne, D.: Astrophys. J. 623, 1044 (2005)
Miller, C.: Nature 420, 31 (2002)
Miller, M., Lamb, F.K., Psaltis, D.: Astrophys. J. 508, 791 (1998)
Nan, R.D.: Sci. China Ser. G 49, 129 (2006)
Nan, R.D., Li, D., Jin, C.J., et al.: Int. J. Mod. Phys. D 20, 989 (2011)
Portegies, Z., Simon, F., Yungelson Lev, R.: Mon. Not. R. Astron. Soc. 309, 26 (1999)
Radhakrishnan, V., Srinivasan, G.: Curr. Sci. 51, 1096 (1982)
Ruderman, M.A., Sutherland, P.G.: Astrophys. J. 196, 51 (1975)
Shapiro, S.L., Teukolsky, S.A.: Black Holes, White Dwarfs and Neutron Stars. Wiley, New York (1983)
Shibazaki, N., Murakami, T., Shaham, J., Nomoto, K.: Nature 342, 656 (1989)
Smits, R., Lorimer, D.R., Kramer, M., et al.: Astron. Astrophys. 505, 919 (2009)
Stairs, I.H.: Science 304, 23 (2004)
Stairs, I.H., Manchester, R.N., Lyne, A.G.: Mon. Not. R. Astron. Soc. 325, 979 (2001)
Stairs, I.H., Athanasiadis, D., Kramer, M., Lyne, A.G.: ASP Conf. Ser. 302, 855 (2003)
Taam, R.E., van den Heuvel, E.P.J.: Astrophys. J. 305, 235 (1986)
Tauris, M.: Science 335, 561 (2012)
Tauris, M., Savonije, J.: Astron. Astrophys. 350, 928 (1999)
Tauris, M., van den Heuvel, E.P.J., Savonije, J.: Astrophys. J. 530, 93 (2000)
Tauris, M., Langer, N., Kramer, M.: Mon. Not. R. Astron. Soc. 416, 2130 (2011)
Tauris, M., Langer, N., Kramer, M.: Mon. Not. R. Astron. Soc. 425, 1601T (2012)
van den Heuvel, E.P.J.: Science 303, 20 (2004)
van den Heuvel, E.P.J.: Astrophys. Space Sci. Libr. 359, 125v (2009)
van den Heuvel, E.P.J., Bitzaraki, O.: Astron. Astrophys. 297, L41 (1995)
van der Klis, M.: Annu. Rev. Astron. Astrophys. 38, 717 (2000)
Wang, N., Johnston, S., Manchester, R.N.: Mon. Not. R. Astron. Soc. 351, 599 (2004)
Wang, J., Zhang, C.M., Zhao, Y.H., et al.: Astron. Astrophys. 526, 88 (2011)
Wijers, R.A.M.J.: Mon. Not. R. Astron. Soc. 287, 607 (1997)
Wijnands, R., van der Klis, M.: Nature 394, 344 (1998)
Zhang, C.M., Kojima, Y.: Mon. Not. R. Astron. Soc. 336, 137 (2006)
Zhang, C.M., Yin, H.X., Kojima, Y., et al.: Mon. Not. R. Astron. Soc. 374, 232 (2007)
Zhang, C.M., Wang, J., Zhao, Y.H., et al.: Astron. Astrophys. 527, 83 (2011)
Acknowledgements
This work is supported by the National Basic Research Program of China (2012CB821800, 2009CB824800), the National Natural Science Foundation of China (NSFC 11173034), and CAS Knowledge Innovation Project (KJCX2-YW-T09). We are grateful for the critic comments and advices from van den Heuvel E.P.J., which greatly improves the quality of the paper.
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Pan, Y.Y., Wang, N. & Zhang, C.M. Binary pulsars in magnetic field versus spin period diagram. Astrophys Space Sci 346, 119–125 (2013). https://doi.org/10.1007/s10509-013-1432-3
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DOI: https://doi.org/10.1007/s10509-013-1432-3