Hi Folks;
I had a question about the de Broglie wavelength of relativistic particles and the cross-section of such particles for interaction ,or more to the point, of contact with a line made of some form of solid, somehow, stabilized neutronium.
Basically, I am assuming that a somehow stabilized neutronium line or cable that has a uniform thickness of about 10 femtometers and which is traveling through space at a gamma factor of say 50 or about 99.98 percent of the speed of light would experience a probability of contact with typical interstellar or intergalactic ions and neutral atoms that is reduced by about 50 fold from that of an identical line traveling at Keplarian velocities on a per particle basis.
I make the above assumption based on the initial assumption that the effective width of most ions and neutral atoms within the interstellar medium is about 1 angstrom for the case where the line would travel through the interstellar medium at merely Keplerian velocities.
My question is, "Is the above assuption reasonably accurate?". I am neglecting the effects of and the reality of the presence of dust particles which have a width of up to 10 to 100 nanometers. I am also assuming that the neutronium line material could be somehow stabilized so that it would not decay and that the line has a mechanism for self-repair such as may be needed when severed by contact with a gas atom or ion at 0.9998 C.
Thanks;
Jim