Expansion measurement of Supernova Remnant RX J1713.7-3946

TL;DR

This study measures the expansion of SNR RX J1713.7-3946 using X-ray observations, constrains its age and physical parameters, and discusses its evolutionary stage and particle acceleration limits.

Contribution

The paper provides the first proper motion measurements of the NW shell of RX J1713.7-3946 and constrains its hydrodynamical evolution and age.

Findings

Blast-wave shock speed is approximately 3900 km/s at 1 kpc distance.

Remnant's age estimated between 1580 and 2100 years.

Current maximum proton energy is below the theoretical maximum due to incomplete Sedov-Taylor transition.

Abstract

Supernova remnant (SNR) RX J1713.7-3946 is well known for its bright TeV gamma-ray emission with shell-like morphology. To constrain the hydrodynamical evolution, we have performed six times observations of the northwestern (NW) shell with the Chandra X-ray Observatory from 2005 to 2011, and measured the proper motion by using these data and the first epoch observation taken in 2000. The blast-wave shock speed at the NW shell is measured to be $(3900\pm 300) (d/{\rm kpc})\ {\rm km}\ {\rm s}^{-1}$ with an estimated distance of $d = 1$ kpc, and the proper motions of other structures within the NW shell are significantly less than that. Assuming that the measured blast-wave shock speed is the representative of the remnant's outer shock wave as a whole, we have confronted our measurements as well as a recent detection of thermal X-ray lines, with the analytic solution of the hydrodynamical properties of SNRs. Our hydrodynamical analysis indicates that the age of the remnant is 1580-2100 years, supporting the association with SN393. A model with SN kinetic energy of $E = 10^{51}\, \rm erg$, the ejecta mass of $M_{\rm ej} = 3\, M_{\odot}$, and the ambient density at the current blast wave location of $n_2 = 0.015\, {\rm cm}^{-3}$, provides reasonable explanation for our measurements and previous findings at the X-ray and gamma-ray wavelengths. We find that the transition to the Sedov-Taylor (ST) phase is incomplete for any reasonable set of parameters, implying that the current maximum energy of accelerated protons in RX J1713.7-3946 would not correspond to the maximum attainable energy for this remnant.