Effects of diabaticity on fusion of heavy nuclei in the dinuclear model ...

Appendix A
For describing nucleus-nucleus collisions, we use the TCSM [40] as a single-particle model. The
Hamiltonian <strong>of</strong> the model is
H = − ¯h2 ∇ 2
2m0
+ V (ρ,z)+V LS(r, p, s)+V L 2(r, l), (A.1)
in cylinder coordinates z, ρ and ϕ. The momentum-independent part <strong>of</strong> the potential may be
expressed as
V (ρ, z) = f0
2 m0ω 2 z ′2 (1+ cz ′
The momentum-dependent parts are
with the abbreviation z ′
V LS = −
¯hκ
L2 = − V 1
¯hκµ
2
m0ω 3 0
, l
dz + ′2 )+ 1
2 m0α 2 gz (1+ ′2 )ρ 2 (A.2)
.
m0ω0
, (∇V × p) · s
, (A.3)
N (N +3)
δif , (A.4)
+¯hκµω0
= z − zi . The positions <strong>of</strong> the centers are denoted by z1 and z2,
z1 ≤ 0 ≤ z2. The behaviour <strong>of</strong> V (ρ, z) along the z-axis can be seen from Fig. A-1, where the
potential is plotted below the associated nuclear surface. To the left <strong>of</strong> z1 and to the right <strong>of</strong>
z2 the potential (A.2) is simply that <strong>of</strong> a deformed oscillator. Between the centers, however,
there are considerable deviations caused by a variable barrier and by the need <strong>of</strong> joining the
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