PSR J1756$-$2251: a pulsar with a low-mass neutron star companion
Robert D. Ferdman, Ingrid H. Stairs, Michael Kramer, Gemma H. Janssen,, Cees G. Bassa, Benjamin W. Stappers, Paul B. Demorest, Isma\"el Cognard,, Gregory Desvignes, Gilles Theureau, Marta Burgay, Andrew G. Lyne, Richard N., Manchester, Andrea Possenti

TL;DR
This study presents long-term timing of the pulsar PSR J1756-2251, testing general relativity, measuring system properties, and suggesting a low-mass supernova formation channel for the neutron star companion.
Contribution
It provides the first detailed measurements of the system's parameters, tests GR with high precision, and proposes a new formation scenario for the neutron star companion.
Findings
Agreement with GR at 4% level for most parameters
Discrepancy in orbital decay rate likely due to observational biases
Evidence supporting a low-mass, symmetric supernova progenitor for the companion
Abstract
The pulsar PSR J17562251 resides in a relativistic double neutron star (DNS) binary system with a 7.67-hr orbit. We have conducted long-term precision timing on more than 9 years of data acquired from five telescopes, measuring five post-Keplerian parameters. This has led to several independent tests of general relativity (GR), the most constraining of which shows agreement with the prediction of GR at the 4% level. Our measurement of the orbital decay rate disagrees with that predicted by GR, likely due to systematic observational biases. We have derived the pulsar distance from parallax and orbital decay measurements to be 0.73 kpc (68%) and < 1.2 kpc (95% upper limit), respectively; these are significantly discrepant from the distance estimated using Galactic electron density models. We have found the pulsar mass to be 1.3410.007 M, and a low neutron…
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