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

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where<br />

The volume is<br />

V0 = 1<br />

2 m0ϖ 2 R 2<br />

0<br />

. (A.5)<br />

= W0 4π<br />

3 R2<br />

(A.6)<br />

,<br />

R0 = 1.2249fm · A 1/3<br />

¯hϖ = 41MeV · A −1/3<br />

The coord<strong>in</strong>ates <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> centers, z1 and z2, are calculated with <strong>the</strong> c<strong>on</strong>diti<strong>on</strong> that <strong>the</strong> barrier<br />

must have <strong>the</strong> same positi<strong>on</strong> <strong>on</strong> <strong>the</strong> z-axis as <strong>in</strong> <strong>the</strong> two-center oscillator [125]<br />

E ′ = 1<br />

2 m0ω 2 z 2<br />

= 0 1<br />

2<br />

0<br />

2<br />

z1 m0ω z2<br />

= 1 1<br />

2<br />

2<br />

z2 m0ω z2.<br />

(A.7)<br />

2<br />

The c<strong>on</strong>stants g, c, d, ω, α, z 1 and z 2 depend <strong>on</strong> <strong>the</strong> nuclear shapes, which are def<strong>in</strong>ed by<br />

<strong>the</strong> collective coord<strong>in</strong>ates: el<strong>on</strong>gati<strong>on</strong> λ, mass asymmetry η, neck parameter ε and deformati<strong>on</strong>s<br />

βi <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> axial symmetric fragments.<br />

The parameters κ, µ and ω 0 are determ<strong>in</strong>ed by a c<strong>on</strong>venient <strong>in</strong>terpolati<strong>on</strong> method regard<strong>in</strong>g<br />

<strong>the</strong>se parameters as functi<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> extrapolated masses <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> fragments <strong>in</strong> order to achieve <strong>the</strong><br />

correct transiti<strong>on</strong> from <strong>the</strong> system <str<strong>on</strong>g>of</str<strong>on</strong>g> two separate <strong>nuclei</strong> to <strong>the</strong> compound-system c<strong>on</strong>figura-<br />

ti<strong>on</strong>. The additi<strong>on</strong>al undef<strong>in</strong>ed quantity f 0 has little <strong>in</strong>fluence <strong>on</strong> <strong>the</strong> total energy for a wider<br />

range <str<strong>on</strong>g>of</str<strong>on</strong>g> values, and from liquid drop <strong>model</strong> calculati<strong>on</strong>s it was found that f0 =4ε isagood<br />

approximati<strong>on</strong> to <strong>the</strong> value giv<strong>in</strong>g m<strong>in</strong>imal energy.<br />

112

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