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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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elements from Z=104 to Z=112 <strong>in</strong> <strong>the</strong> cold fusi<strong>on</strong> reacti<strong>on</strong>s, <strong>the</strong> experimentalists observed a<br />

rapid fall-<str<strong>on</strong>g>of</str<strong>on</strong>g>f <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> evaporati<strong>on</strong> residue cross secti<strong>on</strong>s (about four orders <str<strong>on</strong>g>of</str<strong>on</strong>g> magnitude) with<br />

<strong>in</strong>creas<strong>in</strong>g charge number <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> compound nucleus [7, 8]. In <strong>the</strong> <strong>model</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> fusi<strong>on</strong> based <strong>on</strong> <strong>the</strong><br />

DNS-c<strong>on</strong>cept, <strong>the</strong> fusi<strong>on</strong> cross secti<strong>on</strong>s and excitati<strong>on</strong> functi<strong>on</strong>s for <strong>the</strong> cold fusi<strong>on</strong> reacti<strong>on</strong>s<br />

lead<strong>in</strong>g to <strong>the</strong> formati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> super<strong>heavy</strong> elements are obta<strong>in</strong>ed <strong>in</strong> good agreement with <strong>the</strong><br />

experimental data [20].<br />

The structure <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> mass (charge) distributi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> quasi-fissi<strong>on</strong> products well corresp<strong>on</strong>ds<br />

to <strong>the</strong> peculiarities <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> driv<strong>in</strong>g potential (<strong>the</strong> DNS potential energy as a functi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> mass<br />

(charge) asymmetry) shown <strong>in</strong> chapter 4. In order to illustrate <strong>the</strong> c<strong>on</strong>necti<strong>on</strong> between <strong>the</strong><br />

quasi-fissi<strong>on</strong> product yield and <strong>the</strong> driv<strong>in</strong>g potential, Fig. 7-4 shows <strong>the</strong> quasi-fissi<strong>on</strong> charge dis-<br />

tributi<strong>on</strong> for <strong>the</strong> reacti<strong>on</strong>s 110 Pd+ 136 Xe (η=0.1), 86 Kr+ 160 Gd (η=0.3) and 76 Ge+ 170 Er (η=0.4),<br />

which lead to <strong>the</strong> formati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> same compound nucleus 246 Fm. The distributi<strong>on</strong>s reveal<br />

large widths and <strong>on</strong>e can observe a notable drift <strong>in</strong> charge (mass) away from <strong>the</strong> <strong>in</strong>itial charge<br />

(mass) asymmetry <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> <strong>in</strong>teract<strong>in</strong>g <strong>nuclei</strong>. The product masses are substantially different<br />

from <strong>the</strong> target—projectile masses. It is seen that <strong>the</strong> symmetric fragments can be formed<br />

<strong>in</strong> <strong>the</strong> quasi-fissi<strong>on</strong> process if <strong>the</strong> entrance DNS is an asymmetric <strong>on</strong>e. We can observe that<br />

<strong>the</strong> ma<strong>in</strong> peak <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> distributi<strong>on</strong>s is around <strong>the</strong> <strong>in</strong>itial c<strong>on</strong>figurati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> DNS. Compar-<br />

<strong>in</strong>g Fig. 7-4 with Fig. 4-7a), we observe that <strong>the</strong>re is a correlati<strong>on</strong> between <strong>the</strong> peaks <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong><br />

quasi-fissi<strong>on</strong> distributi<strong>on</strong> and <strong>the</strong> m<strong>in</strong>ima <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> driv<strong>in</strong>g potential. The <strong>in</strong>ner fusi<strong>on</strong> barrier Bη<br />

<strong>in</strong>creases with decreas<strong>in</strong>g mass asymmetry η (Figs. 4-1to 4-7b)), while <strong>the</strong> quasi-fissi<strong>on</strong> bar-<br />

rier B qf becomes smaller because <strong>the</strong> Coulomb repulsi<strong>on</strong> <strong>in</strong>creases with decreas<strong>in</strong>g η and leads<br />

to very shallow pockets <strong>in</strong> <strong>the</strong> nucleus-nucleus potential for nearly symmetric c<strong>on</strong>figurati<strong>on</strong>s.<br />

Therefore, <strong>the</strong> decay <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> <strong>in</strong>itial DNS dom<strong>in</strong>ates <strong>in</strong> symmetric or nearly symmetric collisi<strong>on</strong>s.<br />

The experimental fusi<strong>on</strong> probability becomes larger with <strong>the</strong> <strong>in</strong>crease <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> mass asymmetry<br />

η <strong>in</strong> <strong>the</strong> entrance channel [118]. This experimental evidence for a h<strong>in</strong>drance <str<strong>on</strong>g>of</str<strong>on</strong>g> fusi<strong>on</strong> has been<br />

ma<strong>in</strong>ly c<strong>on</strong>cluded from <strong>the</strong> impossibility to produce fermium evaporati<strong>on</strong> residues with nearly<br />

symmetric projectile-target comb<strong>in</strong>ati<strong>on</strong>s [118].<br />

The ma<strong>in</strong> c<strong>on</strong>clusi<strong>on</strong>s are: 1) The quasi-fissi<strong>on</strong> products <str<strong>on</strong>g>of</str<strong>on</strong>g> fusi<strong>on</strong> reacti<strong>on</strong>s are correctly<br />

described with<strong>in</strong> <strong>the</strong> DNS <strong>model</strong>: diffusi<strong>on</strong> <strong>in</strong> charge (mass) asymmetry and <strong>in</strong> relative distance<br />

(<strong>the</strong> DNS decay) coord<strong>in</strong>ates c<strong>on</strong>tributes to <strong>the</strong> yield <str<strong>on</strong>g>of</str<strong>on</strong>g> quasi-fissi<strong>on</strong> products. 2) The quasi-<br />

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