Geoscience Reference
In-Depth Information
and predissociation, V
12
is the field interaction, and
1
is the shift of level 1. In
these conditions, isolated laser-induced resonance is weak. However, according to
Eq.
2.12
, it can greatly affect the line profile if that is close to the natural resonance.
In general, the contour form is described by a curve with two peaks.
An alternative situation arises if
1
1.2/
when the “anti-resonances” appear
instead of resonances. In accordance with the formula (
2.12
)forf
D
0, only one
Fano “anti-resonance” is formed, which is described by the dependence
W
ˇ0
'
W
0
ˇ
ˇ
ˇ
ˇ
ˇ
ˇ
ˇ
ˇ
2
"
1
"
1
C
i
1
In the opposite case (under condition
ˇ
ˇ
V
12
ˇ
ˇ
12
,
1.2/
,where
12
D
j
E
1
E
2
j
), it turns into the two “anti-resonances” located symmetrically at the
points "
D˙
V
12
with half-widths
1
C
2
=2. The next important reaction
channel DR is characterized by an increase .m
D
1/ or decrease (.m
D
1/
of
the translational energy of the reaction products caused by a field mixing, when the
probability of resonant process is given by the expression
1
V
12
2
2
W
ˇ0
D
(2.13)
ˇ
ˇ
ˇ
"
1
C
i
1
"
2
C
i
2
V
12
2
ˇ
ˇ
ˇ
2
where
i
.
ˇ
/
1
is the autoionizing (i) or predissociative .ˇ/ half-widths of the states 1
and 2, respectively. The expression (Eq.
2.13
) by analogy with (Eq.
2.12
) provided
by
ˇ
ˇ
V
12
ˇ
ˇ
12
,
1.2/
describes the energy dependence with the two symmetrically
situated maxima.
The product features of the process depend not only on the total angular
momentum
J
and its projection
M
: averaging over
M
should lead to a smoothing
of the observed relationships. However, if V
12
=J
1.2/
, the spectrum should
reproduce the individual resonances for each value
M
(Ivanov et al.
1995
).
References
Abrashkevich DG, Shapiro M, Brumer P (1998) Two-pulse coherent control of electronic
branching in Li
2
photodissociation. J Chem Phys 108(9):3385-3390
Adamson SO, Buenker RJ, Golubkov GV, Golubkov MG, Dement'ev AI (2009) Laser stimulation
of low-temperature dissociative recombination of electrons and oxygen molecular ions. Russ J
Phys Chem B3(2):195-210
Akramine OEl, Makhoute A, Khalil D et al (1999) Effect of laser polarization in laser-assisted
electron-helium inelastic collisions: a Sturmian approach.
J Phys B At Mol Opt Phys
32(12):2783-2800
Akulin VM, Karlov NV (1987) Intense resonant interactions in quantum electronics. Nauka,
Moscow
Alber G, Zoller P (1983) Harmonic generation and multiphoton ionization near an autoionizing
resonance. Phys Rev A27(3):1373-1388
