ON THE DERIVATION OF ASYMPTOTIC EXPANSIONS OF EXPONENTIAL INTEGRALS, WITH APPLICATIONS TO COULOMB EXCITATION FUNCTIONS
The Coulomb excitation process has received considerable attention recently. The electric (and magnetic) interaction between the projectile and the target nucleus can be decomposed into multipole components, and the semiclassical treatment of this process was found to iead to very accurate results. The excitation probability of the various multipole transitions is calculated by first order time-dependent perturbation theory, with the relevant matrix elements appearing as path integrals along the hyperbolic orbit of the projectile in the Coulomb field of the target nucleus. A second integration over all possible impact parameters (or equivalently over all possible orbital eccentricities) then yields the excitation probability. It is only in the electric dipole (E1) case that these integrations can be performed analytically. (auth)
- Research Organization:
- Duke Univ., Durham, N.C.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-017133
- OSTI ID:
- 4743229
- Journal Information:
- Ann. Physik, Journal Name: Ann. Physik Vol. Vol: (7), 10
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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