Spin period evolution of a recycled pulsar in an accreting binary

We investigate the spin period evolutions of recycled pulsars in binary accreting systems. Taking both the accretion induced field decay and spin-up into consideration, we calculate their spin period evolutions influenced by the initial magnetic field strengths, initial spin periods, and accretion rates. The results indicate that the minimum spin period (or maximum spin frequency) of a millisecond pulsar (MSP) is independent of the initial conditions and accretion rate when the neutron star (NS) accretes the mass of similar to 0.2 M-circle dot. The accretion torque with the fastness parameter and gravitational wave (GW) radiation torque may be responsible for the formation of the minimum spin period (maximum spin frequency). The fastest spin frequency (716 Hz) of MSP can be inferred to associate with a critical fastness parameter of about omega(c) = 0.55. Furthermore, comparisons with the observational data are presented in the field period (B - P) diagram.

[1]  V. Kaspi.  Grand unification of neutron stars , 2010, Proceedings of the National Academy of Sciences.

[2]  C. Tout,et al.  Formation of binary millisecond pulsars by accretion-induced collapse of white dwarfs , 2010 .

[3]  A. Melatos,et al.  GRAVITATIONAL RADIATION FROM HYDRODYNAMIC TURBULENCE IN A DIFFERENTIALLY ROTATING NEUTRON STAR , 2009, 0911.1609.

[4]  E. Gotthelf,et al.  SPIN-DOWN MEASUREMENT OF PSR J1852+0040 IN KESTEVEN 79: CENTRAL COMPACT OBJECTS AS ANTI-MAGNETARS , 2009, 0911.0093.

[5]  R. Breton.  Radio Pulsars in Binary Systems , 2009, 0907.2623.

[6]  R. Lynch,et al.  A Radio Pulsar/X-ray Binary Link , 2009, Science.

[7]  W. Becker.  Rotation and Accretion Powered Pulsars , 2008 .

[8]  Bernard Schutz,et al.  Detecting gravitational wave emission from the known accreting neutron stars , 2008, 0803.4097.

[9]  M. Romanova,et al.  Accretion to magnetized stars through the Rayleigh–Taylor instability: global 3D simulations , 2008, 0802.1759.

[10]  D. Wickramasinghe,et al.  Binary Millisecond Pulsars: The Accretion Induced Collapse hypothesis revisited , 2008 .

[11]  D. Wickramasinghe,et al.  Magnetic fields in neutron stars, white dwarfs and implications for binary millisecond pulsars , 2008 .

[12]  M. Romanova,et al.  Unstable Disk Accretion onto Magnetized Stars: First Global Three-dimensional Magnetohydrodynamic Simulations , 2008 .

[13]  L. Kaper,et al.  Determination of the mass of the neutron star in SMC X-1, LMC X-4, and Cen X-3 with VLT/UVES , 2007, 0707.2802.

[14]  C. Zhang,et al.  Recent study about the correlations between the spin frequencies and kHz QPOs of Neutron Stars in LMXBs , 2007, 0705.1431.

[15]  Pranab Ghosh,et al.  Rotation and Accretion Powered Pulsars , 2007 .

[16]  J. Tomsick,et al.  Evidence of 1122 Hz X-Ray Burst Oscillations from the Neutron Star X-Ray Transient XTE J1739–285 , 2006, astro-ph/0611716.

[17]  C. Zhang,et al.  The correlations between the twin kHz quasi-periodic oscillation frequencies of low-mass X-ray binaries , 2006 .

[18]  S. Ransom,et al.  A Radio Pulsar Spinning at 716 Hz , 2006, Science.

[19]  C. Zhang,et al.  The correlations between the twin kHz QPO frequencies of LMXBs , 2006, astro-ph/0601318.

[20]  M. Romanova,et al.  Screening of the Magnetic Field of Disk Accreting Stars , 2005, astro-ph/0508168.

[21]  A. Melatos,et al.  Gravitational Radiation from an Accreting Millisecond Pulsar with a Magnetically Confined Mountain , 2005, astro-ph/0503287.

[22]  Y. Kojima,et al.  The bottom magnetic field and magnetosphere evolution of neutron star in low-mass X-ray binary , 2004, astro-ph/0410248.

[23]  Wenfei Yu,et al.  Spin Rates and Magnetic Fields of Millisecond Pulsars , 2004, astro-ph/0408459.

[24]  J. Lattimer,et al.  The Physics of Neutron Stars , 2004, Science.

[25]  A. Melatos,et al.  Burial of the polar magnetic field of an accreting neutron star - I. Self-consistent analytic and numerical equilibria , 2004, astro-ph/0403173.

[26]  E. V. Heuvel.  Double Pulsar Jackpot , 2004 .

[27]  B. C. Joshi,et al.  A Double-Pulsar System: A Rare Laboratory for Relativistic Gravity and Plasma Physics , 2004, Science.

[28]  R. Manchester,et al.  The Australia Telescope National Facility Pulsar Catalogue , 2003, astro-ph/0309219.

[29]  E. Morgan,et al.  Nuclear-powered millisecond pulsars and the maximum spin frequency of neutron stars , 2003, Nature.

[30]  M. Burgay,et al.  PSR J1740–5340: Accretion Inhibited by Radio Ejection in a Binary Millisecond Pulsar in the Globular Cluster NGC 6397 , 2002, astro-ph/0203387.

[31]  A. Choudhuri,et al.  Diamagnetic screening of the magnetic field in accreting neutron stars , 2001, astro-ph/0304490.

[32]  R. Wijers,et al.  The Evolution of Relativistic Binary Progenitor Systems , 2001, astro-ph/0103216.

[33]  L. Bildsten,et al.  Magnetic Screening in Accreting Neutron Stars , 2001, astro-ph/0102178.

[34]  M. Klis.  Millisecond Oscillations in X-ray Binaries , 2000, astro-ph/0001167.

[35]  R. Sunyaev,et al.  Spread of matter over a neutron-star surface during disk accretion: Deceleration of rapid rotation , 1999, 1102.0975.

[36]  X.-D. Li,et al.  Disk Accretion onto Magnetized Neutron Stars: The Inner Disk Radius and Fastness Parameter , 1999, astro-ph/9901083.

[37]  D. Bhattacharya,et al.  Magnetic field evolution of accreting neutron stars ⋆ III , 1998, astro-ph/9812035.

[38]  D. Lorimer.  Binary and Millisecond Pulsars , 1998, Living reviews in relativity.

[39]  R. Wijnands,et al.  A millisecond pulsar in an X-ray binary system , 1998, Nature.

[40]  Lars Bildsten,et al.  Gravitational Radiation and Rotation of Accreting Neutron Stars , 1998, astro-ph/9804325.

[41]  U. Geppert,et al.  Magnetic and spin evolution of neutron stars in close binaries , 1998, astro-ph/9802087.

[42]  R. Wijers.  Evidence against field decay proportional to accreted mass in neutron stars , 1996, astro-ph/9608075.

[43]  U. Geppert,et al.  Accretion and evolution of the neutron star magnetic field , 1995 .

[44]  G. Chanmugam,et al.  Postaccretion magnetic field evolution of neutron stars , 1995 .

[45]  U. Geppert,et al.  Accretion-driven magnetic field decay in neutron stars , 1994 .

[46]  S. Kulkarni,et al.  The magnetic fields, ages, and original spin periods of millisecond pulsars , 1994 .

[47]  D. Bhattacharya,et al.  Formation and evolution of binary and millisecond radio pulsars , 1991 .

[48]  R. Romani.  A unified model of neutron-star magnetic fields , 1990, Nature.

[49]  K. Nomoto,et al.  Does mass accretion lead to field decay in neutron stars? , 1989, Nature.

[50]  R. Taam,et al.  Magnetic Field Decay and the Origin of Neutron Star Binaries , 1986 .

[51]  Saul A. Teukolsky,et al.  Black Holes, White Dwarfs, and Neutron Stars , 1983 .

[52]  A. Cheng,et al.  A new class of radio pulsars , 1982, Nature.

[53]  P. Ghosh,et al.  Accretion by rotating magnetic neutron stars. III. Accretion torques and period changes in pulsating X-ray sources. , 1979 .

[54]  P. Ghosh,et al.  Accretion by rotating magnetic neutron stars. II. Radial and vertical structure of the transition zone in disk accretion. , 1979 .

[55]  C. Pethick,et al.  Accretion by rotating magnetic neutron stars. I. Flow of matter inside the magnetosphere and its implications for spin-up and spin-down of the star , 1977 .

[56]  R. Elsner,et al.  Accretion by magnetic neutron stars. I. Magnetospheric structure and stability. , 1977 .

[57]  J. Lowry.  Trends in Pulsar Research , 2006 .

[58]  Accepted??? Received??? , 2003 .

[59]  R. T Jantzen,et al.  Proceedings of the Seventh Marcel Grossmann Meeting on General Relativity , 1996 .

[60]  J. Paradijs,et al.  The lives of the neutron stars , 1995 .

[61]  E. V. Heuvel,et al.  X-ray binaries and recycled pulsars. , 1992 .

[62]  D. Raine,et al.  Accretion power in astrophysics , 1985 .

[63]  E.P.J. van den Heuvel,et al.  UvA-DARE ( Digital Academic Repository ) A catalogue of low-mass X-ray binaries , 2022 .