Transplanckian bremsstrahlung and black hole production

Dmitri V. Gal'tsov; Georgios Kofinas; Pavel Spirin; Theodore N. Tomaras

doi:10.1016/j.physletb.2009.12.042

paper

Transplanckian bremsstrahlung and black hole production

arXiv:0908.0675 · doi:10.1016/j.physletb.2009.12.042

Abstract

Classical gravitational bremsstrahlung in particle collisions at transplanckian energies is studied in $M_{4} \times T^{d}$ . The radiation efficiency $ε \equiv E_{rad} / E_{initial}$ is computed in terms of the Schwarzschild radius $r_{S} (s)$ , the impact parameter $b$ and the Lorentz factor $γ_{cm}$ and found to be $ε = C_{d} (r_{S} / b)^{3 d + 3} γ_{cm}^{2 d + 1}$ , larger than previous estimates by many powers of $γ_{cm} ≫ 1$ . The result is reliable for impact parameters in the overlap of $r_{S} < b < b_{c} and b > λ_{C}$ , with $b_{c}$ marking (for $d \neq = 0$ ) the loss of the notion of classical trajectories and $λ_{C} \equiv ℏ/ m c$ the Compton length of the scattered particles. The condition on $s$ and $m$ for extreme radiation damping and (presumably) no black hole production is also derived.

4 pages, revtex 4. The discussion section is changed to better clarify the region of validity of our calculation. The physical conclusions and the abstract are modified accordingly. A few more references added. We just added the preprint number CCTP-2010-18

Transplanckian bremsstrahlung and black hole production

Abstract

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