Recently, extra motivation has been given to the investigations of an unresolved problem of millisecond pulsars (MSPs) produced by the recycling process, as an apparent role of the accretion-induced collapse (AIC) in white dwarfs (WDs) was suggested to this concern.
I have found that the distribution of the orbital periods of binary MSPs in the Galactic disk closely follows an exponential distribution.
I have also determined the best-fit mean value of Nobs by fitting our data with an exponential distribution for the MSP population.
As a result, it can be stated that reaching the Chandrasekhar limit may cause an explosion of a massive WD as a Type Ia supernova (in the case of a CO WD) or an ignition of a ONeMg WD, and possibly merging in some CO WDs, all resulting in peculiar MSP systems.
Accretion-Induced Collapse of White Dwarfs as an Alternative Symbiotic Channel to Millisecond Pulsars · Around
L. Ferrario and D.T. Wickramasinghe, Binary Millisecond Pulsars: The Accretion Induced Collapse hypothesis revisited , in Astrophysics of Compact Objects , Y.-F. Yuan, X.-D. Li and D. Lai, eds., vol. 968 of American Institute of Physics Conference Series , pp. 194–196, Jan., 2008, DOI
2008
Cited alongside, same era.
D.R. Lorimer, Radio Pulsar Statistics , in Astrophysics and Space Science Library , W. Becker, ed., vol. 357 of Astrophysics and Space Science Library , p. 1, Jan., 2009, DOI
A. Taani, A. Abushattal and M.K. Mardini, The regular dynamics through the finite-time Lyapunov exponent distributions in 3D Hamiltonian systems , Astronomische Nachrichten 340
2019
Later among the works it cites.
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Y.-C. Wei, A. Taani, Y.-Y. Pan, J. Wang, Y. Cai, G.-C. Liu et al., Neutron Star Motion in the Disk Galaxy , Chinese Physics Letters 27
2010
Cited alongside, same era.
H. Ritter and U. Kolb, VizieR Online Data Catalog: Cataclysmic Binaries, LMXBs, and related objects (Ritter+, 2004) , VizieR Online Data Catalog (2011) B/cb
A. Taani, J.C. Vallejo and M. Abu-Saleem, Assessing the complexity of orbital parameters after asymmetric kick in binary pulsars , Journal of High Energy Astrophysics 35