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

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

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to <strong>the</strong> <strong>on</strong>es obta<strong>in</strong>ed <strong>in</strong> adiabatic calculati<strong>on</strong>s because we took <strong>the</strong> width Γ k <str<strong>on</strong>g>of</str<strong>on</strong>g> s<strong>in</strong>gle-particle<br />

states <strong>in</strong>to c<strong>on</strong>siderati<strong>on</strong>. This is observed <strong>in</strong> Figs. 5-1and 5-6 compar<strong>in</strong>g <strong>the</strong> values <str<strong>on</strong>g>of</str<strong>on</strong>g> M εε<br />

at <strong>the</strong> touch<strong>in</strong>g c<strong>on</strong>figurati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> <strong>nuclei</strong> for <strong>the</strong> reacti<strong>on</strong> 110 Pd+ 110 Pd. Due to <strong>the</strong> effect<br />

<str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> width <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> s<strong>in</strong>gle-particle states, <strong>the</strong> occupati<strong>on</strong> probabilities for s<strong>in</strong>gle-particle levels<br />

with zero widths are distributed over more levels. This effect partially destroys <strong>the</strong> difference<br />

between <strong>the</strong> <str<strong>on</strong>g>diabaticity</str<strong>on</strong>g> and a<str<strong>on</strong>g>diabaticity</str<strong>on</strong>g> at cross<strong>in</strong>gs (or pseudo-cross<strong>in</strong>gs) <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> s<strong>in</strong>gle-particle<br />

levels. We want to stress that <strong>the</strong> differences between <strong>the</strong> diabatic and adiabatic s<strong>in</strong>gle-particle<br />

levels appear <strong>on</strong>ly near <strong>the</strong> cross<strong>in</strong>g po<strong>in</strong>ts. Moreover, <strong>the</strong> distributi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> diabatic occupa-<br />

ti<strong>on</strong> numbers n(ɛ k) and <strong>the</strong> derivatives f k approaches <strong>the</strong> <strong>on</strong>es obta<strong>in</strong>ed <strong>in</strong> <strong>the</strong> adiabatic case<br />

for fixed values <str<strong>on</strong>g>of</str<strong>on</strong>g> ε, λ and excitati<strong>on</strong> energy <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> system (Fig. 5-8). S<strong>in</strong>ce we showed <strong>the</strong><br />

similarity <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> data obta<strong>in</strong>ed with adiabatic and diabatic levels us<strong>in</strong>g <strong>the</strong> same width, we can<br />

use diabatic s<strong>in</strong>gle particle states <strong>in</strong> fur<strong>the</strong>r calculati<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> mass parameters <strong>in</strong> order to simplify<br />

<strong>the</strong> numerical procedure.<br />

The obta<strong>in</strong>ed mass parameter for <strong>the</strong> neck degree <str<strong>on</strong>g>of</str<strong>on</strong>g> freedom is much larger than <strong>the</strong> <strong>on</strong>e<br />

obta<strong>in</strong>ed <strong>in</strong> <strong>the</strong> hydrodynamical <strong>model</strong> with <strong>the</strong> Werner-Wheeler approximati<strong>on</strong>. By apply<strong>in</strong>g<br />

<strong>the</strong> microscopical mass parameters we f<strong>in</strong>d a relatively stable neck dur<strong>in</strong>g <strong>the</strong> time <str<strong>on</strong>g>of</str<strong>on</strong>g> reacti<strong>on</strong>.<br />

In additi<strong>on</strong>, a large energy threshold due to <strong>the</strong> diabatic (structural) forbiddenness effect [35, 36]<br />

h<strong>in</strong>ders <strong>the</strong> moti<strong>on</strong> to smaller <strong>in</strong>ternuclear distances. Therefore, <strong>the</strong> DNS c<strong>on</strong>figurati<strong>on</strong> exists<br />

l<strong>on</strong>g enough, and <strong>the</strong>rmal fluctuati<strong>on</strong>s <strong>in</strong> <strong>the</strong> mass asymmetry coord<strong>in</strong>ate could develop and<br />

lead to fusi<strong>on</strong> and quasifissi<strong>on</strong>, which are <strong>the</strong> essential reacti<strong>on</strong>s <strong>in</strong> <strong>the</strong> DNS c<strong>on</strong>cept.<br />

77

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