TY - JOUR
T1 - Particle production at a finite potential step
T2 - transition from Euler–Heisenberg to Klein paradox
AU - Evans, Stefan
AU - Rafelski, Johann
N1 - Publisher Copyright: © 2021, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/12
Y1 - 2021/12
N2 - Spontaneous pair production for spin-1/2 and spin-0 particles is explored in a quantitative manner for a static tanh -Sauter potential step (SS), evaluating the imaginary part of the effective action. We provide finite-valued per unit-surface results, including the exact sharp-edge Klein paradox (KP) limit, which is the upper bound to pair production. At the vacuum instability threshold the spin-0 particle production can surpass that for the spin-1/2 rate. Presenting the effect of two opposite sign Sauter potential steps creating a well we show that spin-0 pair production, contrary to the case of spin-1/2, requires a smoothly sloped wall.
AB - Spontaneous pair production for spin-1/2 and spin-0 particles is explored in a quantitative manner for a static tanh -Sauter potential step (SS), evaluating the imaginary part of the effective action. We provide finite-valued per unit-surface results, including the exact sharp-edge Klein paradox (KP) limit, which is the upper bound to pair production. At the vacuum instability threshold the spin-0 particle production can surpass that for the spin-1/2 rate. Presenting the effect of two opposite sign Sauter potential steps creating a well we show that spin-0 pair production, contrary to the case of spin-1/2, requires a smoothly sloped wall.
UR - http://www.scopus.com/inward/record.url?scp=85122542650&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85122542650&partnerID=8YFLogxK
U2 - 10.1140/epja/s10050-021-00654-x
DO - 10.1140/epja/s10050-021-00654-x
M3 - Article
SN - 1434-6001
VL - 57
JO - European Physical Journal A
JF - European Physical Journal A
IS - 12
M1 - 341
ER -