NuSTAR and Swift joint view of neutron star X-ray binary 4U~1728--34 : Disc reflection in the island and lower banana states

TL;DR

This study analyzes simultaneous NuSTAR and Swift observations of the neutron star X-ray binary 4U 1728-34, revealing spectral states, burst characteristics, and disc reflection features, and constraining system parameters including inclination, inner disc radius, and magnetic field.

Contribution

It provides the first joint spectral analysis of 4U 1728-34 in different states, modeling reflection features and estimating key physical parameters of the system.

Findings

Detection of broad Iron line and reflection hump.

Constraints on inner disc radius and inclination.

Estimation of neutron star magnetic field strength.

Abstract

We analyze two simultaneous \nustar{} and \swift{} data of the Atoll type neutron star (NS) X-ray binary 4U~1728--34 observed on 1 and 3 October, 2013. Based on power density spectra, hardness ratio and colour-colour diagram, we infer that the first and second observations belong to the island state and lower banana state, respectively. During island state, a low-frequency quasi-periodic oscillation (LFQPO) at $\sim4.53$ Hz is observed along with four type-I X-ray bursts ($\sim 10-15$ s duration each). The X-ray luminosity of the source during the island and lower banana states are found to be $L_{X}= 1.1$ and $1.6\times10^{37}$ erg s$^{-1}$, respectively which correspond to $\sim 6\%$ and $\sim 9\%$ of the Eddington luminosity. The combined burst spectrum is well represented by a blackbody with a characteristic temperature of $2.22\pm0.05\kev$ and the blackbody radius of $9.87\pm1.86$ km which is consistent with the typical radius of the neutron star. The persistent energy spectra from both observations in the energy band $1-79\kev$ are well described with thermal emission from the NS surface ($kT_{bb}\simeq1-2.5\kev$), Comptonized emission of thermal seed photons from the hot boundary layer/corona and the strong reflection component from the accretion disc. We detect a broad Iron line in the $5-8 \kev$ band and reflection hump in the $15-30 \kev$ band. These features are well modelled by the {\tt relxill} reflection model. From joint spectral fitting, we constrain the inclination angle of the binary system and inner disc radius to be $22\degree-40\degree$ and $(2.8-4.3)\times R_{ISCO}$, respectively. From inner disc radius, we estimate the magnetic field to be $(3.3-6.5)\times10^{8}$ Gauss.