A detailed X-ray investigation of PSR J2021+4026 and $\gamma$-Cygni supernova remnant
C. Y. Hui (1), K. A. Seo (1), L. C. C. Lin (2), R. H. H. Huang (2), C., P. Hu (3), J. H. K. Wu (2), L. Trepl (4), J. Takata (5), Y. Wang (5), Y. Chou, (3), K. S. Cheng (5), A. K. H. Kong (2) ((1) Chungnam National University,, (2) National Tsing Hua University

TL;DR
This study uses X-ray observations to analyze PSR J2021+4026 and its supernova remnant G78.2+2.1, revealing thermal pulsations, a pulsar wind nebula, and insights into the remnant's shock history and pulsar motion.
Contribution
It provides a detailed X-ray analysis of PSR J2021+4026 and G78.2+2.1, confirming the pulsar's thermal pulsations, identifying a bow-shock nebula, and studying the remnant's ionization state and shock age.
Findings
X-ray pulsation is purely thermal, originating from a hot polar cap.
A bow-shock nebula extends ~10 arcsec west, indicating eastward pulsar motion.
The supernova remnant is in a non-equilibrium ionization state with recent shock activity.
Abstract
We have investigated the field around the radio-quiet -ray pulsar, PSR J2021+4026, with a ~140 ks XMM-Newton observation and a ~56 ks archival Chandra data. Through analyzing the pulsed spectrum, we show that the X-ray pulsation is purely thermal in nature which suggests the pulsation is originated from a hot polar cap with K on the surface of a rotating neutron star. On the other hand, the power-law component that dominates the pulsar emission in the hard band is originated from off-pulse phases, which possibly comes from a pulsar wind nebula. In re-analyzing the Chandra data, we have confirmed the presence of bow-shock nebula which extends from the pulsar to west by ~10 arcsec. The orientation of this nebular feature suggests that the pulsar is probably moving eastward which is consistent with the speculated proper motion by extrapolating from the nominal…
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