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

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are c<strong>on</strong>t<strong>in</strong>uous with respect to z at z =0. Forz0, <strong>the</strong> oscillator frequencies ωz<br />

must be determ<strong>in</strong>ed numerically from <strong>the</strong> assumpti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> volume-c<strong>on</strong>servati<strong>on</strong>. With <strong>the</strong> method<br />

suggested we can f<strong>in</strong>d <strong>the</strong> diabatic levels close to <strong>the</strong> adiabatic levels (Fig. 3-1). Differences<br />

take place <strong>on</strong>ly near <strong>the</strong> cross<strong>in</strong>g po<strong>in</strong>ts. In c<strong>on</strong>trast to Ref. [57], we can c<strong>on</strong>sider <strong>the</strong> diabatic<br />

effects for any neck parameter ε. This yields a better shape parametrisati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> DNS.<br />

3.2 Results and discussi<strong>on</strong><br />

In <strong>the</strong> calculati<strong>on</strong>s, we firstly c<strong>on</strong>sider symmetric collisi<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> spherical <strong>nuclei</strong> and <strong>the</strong>n analyse<br />

asymmetric entrance channels, <strong>the</strong>rmal and deformati<strong>on</strong> effects. The diabatic c<strong>on</strong>tributi<strong>on</strong><br />

∆V diab as a functi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> el<strong>on</strong>gati<strong>on</strong> is presented for <strong>the</strong> reacti<strong>on</strong> 100 Mo+ 100 Mo <strong>in</strong> Fig. 3-2.<br />

The <strong>nuclei</strong> are c<strong>on</strong>sidered as spherical with ε =0.74, which supplies realistic shapes <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong><br />

DNS for λ = 1.5 − 1.6. ∆V diab c<strong>on</strong>sists <str<strong>on</strong>g>of</str<strong>on</strong>g> c<strong>on</strong>tributi<strong>on</strong>s from neutr<strong>on</strong>s and prot<strong>on</strong>s. The<br />

diabatic c<strong>on</strong>tributi<strong>on</strong> <strong>in</strong>creases with decreas<strong>in</strong>g λ or R because many diabatic levels cross <strong>the</strong><br />

Fermi level (Fig. 3-3). In general, <strong>the</strong> diabatic c<strong>on</strong>tributi<strong>on</strong> <strong>in</strong>creases with <strong>the</strong> mass number<br />

A <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> system because <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> larger number <str<strong>on</strong>g>of</str<strong>on</strong>g> level cross<strong>in</strong>gs. The diabatic c<strong>on</strong>tributi<strong>on</strong><br />

∆V diab <str<strong>on</strong>g>of</str<strong>on</strong>g> many symmetric systems selected al<strong>on</strong>g <strong>the</strong> l<strong>in</strong>e <str<strong>on</strong>g>of</str<strong>on</strong>g> beta stability shows diabatic shell-<br />

structure effects [63, 64]. The role <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong>se effects is dem<strong>on</strong>strated <strong>in</strong> Fig.3-4a by <strong>the</strong> diabatic<br />

c<strong>on</strong>tributi<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> neutr<strong>on</strong>s and prot<strong>on</strong>s for <strong>the</strong> systems 90 Zr+ 90 Zr and 96 Zr+ 96 Zr. While <strong>the</strong><br />

diabatic c<strong>on</strong>tributi<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> prot<strong>on</strong>s are nearly <strong>the</strong> same <strong>in</strong> both <strong>the</strong> systems, <strong>the</strong> diabatic<br />

c<strong>on</strong>tributi<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> neutr<strong>on</strong>s are quite different. As a result, <strong>the</strong> total diabatic potential is<br />

more repulsive <strong>in</strong> <strong>the</strong> case <str<strong>on</strong>g>of</str<strong>on</strong>g> 90 Zr+ 90 Zr (Fig. 3-4b).<br />

Fur<strong>the</strong>r diabatic potentials are presented <strong>in</strong> Figs.3-4c and 3-5 for <strong>the</strong> systems 130 Xe+ 130 Xe,<br />

136 Xe+ 136 Xe, 100 Mo+ 100 Mo and 110 Pd+ 110 Pd. The neck parameter is fixed at ε =0.74 and <strong>the</strong><br />

<strong>nuclei</strong> are c<strong>on</strong>sidered as spherical. Except<strong>in</strong>g <strong>the</strong> potentials with <strong>the</strong> Xe isotopes (Fig. 3-4c),<br />

<strong>the</strong> diabatic potentials for all <strong>the</strong>se systems have a pocket near to <strong>the</strong> touch<strong>in</strong>g c<strong>on</strong>figurati<strong>on</strong><br />

(λ =1.58) <strong>in</strong> which <strong>the</strong> DNS could stand some time and evolve <strong>in</strong> mass asymmetry. For smaller<br />

el<strong>on</strong>gati<strong>on</strong>s, <strong>the</strong> diabatic potential is str<strong>on</strong>gly repulsive <strong>in</strong> all symmetric systems.<br />

The diabatic potential is similar to <strong>the</strong> <strong>on</strong>e calculated with <strong>the</strong> phenomenological double fold<strong>in</strong>g<br />

potential. In Fig. 3-5 we compare <strong>the</strong> diabatic potential <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> system 110 Pd+ 110 Pd with <strong>the</strong><br />

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