High energy particle collisions in a general, static, and spherically symmetric wormhole spacetime: the Damour-Solodukhin and black-hole-like wormholes

A Damour-Solodukhin wormhole with a metric which is similar to a metric in a Schwarzschild spacetime seems to be a black-hole mimicker since it is difficult to distinguish the Damour-Solodukhin wormhole from the Schwarzschild black hole by practical astrophysical observations. In this paper, we investigate a center-of-mass energy for the collision of two particles in the Damour-Solodukhin wormhole spacetime. The center-of-mass energy for the head-on collision of the particles is large if the difference between the metric in the Damour-Solodukhin wormhole spacetime and the one in the Schwarzschild spacetime is small. Since the center-of-mass energy is equal to an upper limit of the total mass of products after the particle collision, a black hole might be formed near a throat and it might break down the Damour-Solodukhin wormhole. To deeply understand the high energy particle collision, we investigate a center-of-mass energy in a general, static, and spherically symmetric wormhole spacetime. We show that the center-of-mass energy of a head-on particle collision near a throat is high if the metric of the general wormhole spacetime is similar to the ones of black hole spacetimes. The high center-of-mass energy implies the general black-hole-like wormhole is unstable against the head-on particle collision.