TY - JOUR
T1 - Hypergeometric resummation approach to dissociation and Stark effect in non-rigid dipolar molecules
AU - Pedersen, Thomas Garm
PY - 2020/9/14
Y1 - 2020/9/14
N2 - In a strong electric field, a dipolar molecule will contract or expand and, in extreme cases, dissociate. Considering a two-atomic non-rigid dipole described by the realistic Kratzer model, we compute analytical energy corrections up to fourth order in the field strength for general states and ninth order for the ground state. The fourth-order series is subsequently 'resummed' using the hypergeometric approach (Mera et al 2015 Phys. Rev. Lett. 115 143001). We benchmark the approach against numerical complex scaling results and demonstrate that the resummed series is highly accurate in a wide range of field strengths and, importantly, correctly reproduces the dissociation rate. Finally, Stark shift and dissociation rate are calculated for LiH+ as a practical application of the theory.
AB - In a strong electric field, a dipolar molecule will contract or expand and, in extreme cases, dissociate. Considering a two-atomic non-rigid dipole described by the realistic Kratzer model, we compute analytical energy corrections up to fourth order in the field strength for general states and ninth order for the ground state. The fourth-order series is subsequently 'resummed' using the hypergeometric approach (Mera et al 2015 Phys. Rev. Lett. 115 143001). We benchmark the approach against numerical complex scaling results and demonstrate that the resummed series is highly accurate in a wide range of field strengths and, importantly, correctly reproduces the dissociation rate. Finally, Stark shift and dissociation rate are calculated for LiH+ as a practical application of the theory.
KW - complex scaling
KW - dissociation
KW - perturbation theory
KW - resummation
KW - Stark effect
UR - http://www.scopus.com/inward/record.url?scp=85088043817&partnerID=8YFLogxK
U2 - 10.1088/1361-6455/ab999b
DO - 10.1088/1361-6455/ab999b
M3 - Journal article
AN - SCOPUS:85088043817
SN - 0953-4075
VL - 53
JO - Journal of Physics B: Atomic, Molecular and Optical Physics
JF - Journal of Physics B: Atomic, Molecular and Optical Physics
IS - 17
M1 - 175101
ER -