2006
DOI: 10.1111/j.1365-2966.2006.09920.x
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The correlations between the twin kHz quasi-periodic oscillation frequencies of low-mass X-ray binaries

Abstract: We analyzed the recently published kHz quasi‐period oscillaiton (QPO) data in the neutron star low‐mass X‐ray binaries (LMXBs), in order to investigate the different correlations of the twin‐peak kHz QPOs in bright Z sources and in the less luminous Atoll sources. We find a power‐law relation ν1∼νb2 between the upper and the lower kHz QPOs with different indices: b≃ 1.5 for the Atoll source 4U 1728‐34 and b≃ 1.9 for the Z source Sco X‐1. The implications of our results for the theoretical models for kHz QPOs a… Show more

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Cited by 60 publications
(38 citation statements)
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References 38 publications
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“…Abramowicz et al (2003a,b); Kluźniak & Abramowicz (2001) introduced the resonance model with the upper frequency corresponding to the vertical epicyclic frequency and the lower frequency corresponding to the radial epicyclic frequency, which accords with observational data quite well in the black-hole binary systems (Török et al, 2005. But the last two models show the inconsistent with the subsequent twin kHz QPO observations (Belloni et al, 2007;Jonker et al, 2002a;Muno, 2004;Strohmayer & Bildsten, 2006;Urbanec et al, 2010;van der Klis, 2006;Wijnands et al, 2003;Zhang et al, 2006a).…”
Section: Introductionsupporting
confidence: 67%
“…Abramowicz et al (2003a,b); Kluźniak & Abramowicz (2001) introduced the resonance model with the upper frequency corresponding to the vertical epicyclic frequency and the lower frequency corresponding to the radial epicyclic frequency, which accords with observational data quite well in the black-hole binary systems (Török et al, 2005. But the last two models show the inconsistent with the subsequent twin kHz QPO observations (Belloni et al, 2007;Jonker et al, 2002a;Muno, 2004;Strohmayer & Bildsten, 2006;Urbanec et al, 2010;van der Klis, 2006;Wijnands et al, 2003;Zhang et al, 2006a).…”
Section: Introductionsupporting
confidence: 67%
“…As noticed in several studies, the frequency correlations in the six sources considered in this paper are well-fitted by linear relations (Abramowicz et al 2005a;Belloni et al 2005;Bursa 2006;Zhang et al 2006). We use this property to connect both amplitude-frequency relations (1), with the assumption that the frequency correlations are linear in the range above ν L = 500 Hz, and follow the relations found in Abramowicz et al (2005a,b).…”
Section: Published Data (Set I)mentioning
confidence: 76%
“…In all of these models the frequency difference ν U − ν L decreases with increase in the magnitude of the lower and upper frequencies in accord with trends given by the observational data Belloni et al 2007a;Boutelier et al 2010). An alternative explanation of HF QPOs in neutron star systems provides the sonic-point and spin-resonance models (Lamb & Miller 2001, higher-order nonlinearity model (Mukhopadhyay 2009), shock-wave model Debnath et al 2010), Rayleigh-Taylor gravity wave model (Osherovich & Titarchuk 1999;Titarchuk 2003;Titarchuk & Shaposhnikov 2008), MHD Alfvén wave oscillation model (Zhang 2004;Zhang et al 2006Zhang et al , 2007Shi 2011), and MHD model (Shi & Li 2009). …”
Section: Neutron Starsmentioning
confidence: 99%