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

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fragments c<strong>on</strong>t<strong>in</strong>uously.<br />

A-1: The potential al<strong>on</strong>g <strong>the</strong> z-axis and <strong>the</strong> associated nuclear shape. The designati<strong>on</strong>s<br />

Figure<br />

<strong>the</strong> geometrical quantities have been <strong>in</strong>dicated and <strong>the</strong> quantities for <strong>the</strong> def<strong>in</strong>iti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong><br />

<str<strong>on</strong>g>of</str<strong>on</strong>g><br />

parameter ε = E0/E ′ are shown.<br />

The c<strong>on</strong>stants are listed <strong>in</strong> Table A and l =(∇V × p)/m0ω 2 0 . In <strong>the</strong>se formulas, {A, B} =<br />

AB + BA denotes <strong>the</strong> anticommutator <str<strong>on</strong>g>of</str<strong>on</strong>g> A and B and δif is <strong>the</strong> Kr<strong>on</strong>ecker symbol. The<br />

quantity N should be chosen such that it approaches <strong>the</strong> usual pr<strong>in</strong>cipal quantum number <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

<strong>the</strong> spherical oscillator <strong>in</strong> <strong>the</strong> limit<strong>in</strong>g cases <str<strong>on</strong>g>of</str<strong>on</strong>g> a s<strong>in</strong>gle sphere and that <str<strong>on</strong>g>of</str<strong>on</strong>g> two separate fragments<br />

with a large separati<strong>on</strong>.<br />

The coefficients g, c and d are determ<strong>in</strong>ed by requir<strong>in</strong>g that <strong>the</strong> potential and its derivative<br />

with respect to z is c<strong>on</strong>t<strong>in</strong>uous at z =0.<br />

The oscillator frequencies, ω and α, must be determ<strong>in</strong>ed numerically from <strong>the</strong> assumpti<strong>on</strong><br />

<str<strong>on</strong>g>of</str<strong>on</strong>g> volume-c<strong>on</strong>servati<strong>on</strong> <strong>in</strong>side <strong>the</strong> equipotential surface V (ρ, z) =V0 with<br />

111

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