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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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products. However, <strong>in</strong> <strong>the</strong> driv<strong>in</strong>g potential calculated with <strong>the</strong> phenomenological method <strong>the</strong><br />

peculiarities <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> s<strong>in</strong>gle-particle spectra <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> DNS <strong>nuclei</strong> are not taken <strong>in</strong>to account explicitly.<br />

The shell effects <strong>in</strong> <strong>the</strong> driv<strong>in</strong>g potentials calculated with <strong>the</strong> TCSM-method and <strong>the</strong> alter-<br />

native microscopical method reflect <strong>the</strong> <strong>in</strong>fluence <str<strong>on</strong>g>of</str<strong>on</strong>g> peculiarities <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> s<strong>in</strong>gle-particle spectra<br />

near <strong>the</strong> Fermi surface <strong>on</strong> <strong>the</strong> nucle<strong>on</strong> exchange process. For this reas<strong>on</strong>, <strong>the</strong>se driv<strong>in</strong>g potentials<br />

can carry more <strong>in</strong>formati<strong>on</strong> about <strong>the</strong> DNS evoluti<strong>on</strong> <strong>in</strong> η than <strong>the</strong> driv<strong>in</strong>g potential calculated<br />

with <strong>the</strong> phenomenological method. It is obvious that <strong>the</strong> positi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> <strong>in</strong>itial c<strong>on</strong>figurati<strong>on</strong><br />

η i def<strong>in</strong>es <strong>the</strong> evoluti<strong>on</strong> directi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> DNS <strong>in</strong> η. The driv<strong>in</strong>g potentials calculated with <strong>the</strong><br />

TCSM- and with <strong>the</strong> alternative microscopical methods have few local m<strong>in</strong>ima. The absence<br />

<str<strong>on</strong>g>of</str<strong>on</strong>g> local m<strong>in</strong>ima for some magic <strong>nuclei</strong> <strong>in</strong> <strong>the</strong> d<strong>in</strong>uclear system can be expla<strong>in</strong>ed by <strong>the</strong> shell<br />

structure <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> c<strong>on</strong>jugated nucleus and <strong>the</strong> <strong>in</strong>fluence <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> neutr<strong>on</strong> subsystem.<br />

The effect <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> deformati<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> <strong>nuclei</strong> <strong>on</strong> <strong>the</strong> driv<strong>in</strong>g potential is presented <strong>in</strong> Figs.<br />

4-6b) and 4-7b) for <strong>the</strong> d<strong>in</strong>uclear systems 180 Hg and 246 Fm, respectively. Here, <strong>the</strong> driv<strong>in</strong>g<br />

potential calculated with<strong>in</strong> <strong>the</strong> TCSM and <strong>the</strong> phenomenological potential are shown.We assume<br />

that <strong>the</strong> deformati<strong>on</strong>s take <strong>the</strong> effects <str<strong>on</strong>g>of</str<strong>on</strong>g> polarisati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> nucleus <strong>in</strong>duced by <strong>the</strong> mean-field<br />

<str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> o<strong>the</strong>r nucleus <strong>in</strong>to account. The potential energy <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> DNS with prolate <strong>nuclei</strong> is<br />

smaller than <strong>the</strong> potential energy with spherical <strong>nuclei</strong> (Figs. 4-6a) and 4-7a) ) because <strong>the</strong><br />

Coulomb energy becomes larger for spherical <strong>nuclei</strong>. In this case, <strong>the</strong> fusi<strong>on</strong> barrier <strong>in</strong> η gets<br />

smaller than <strong>the</strong> <strong>on</strong>e obta<strong>in</strong>ed with spherical <strong>nuclei</strong>. For oblate deformati<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> <strong>nuclei</strong>,<br />

<strong>the</strong> potential energy and <strong>the</strong> fusi<strong>on</strong> barrier <strong>in</strong> η are larger than for spherical <strong>nuclei</strong>. In reality,<br />

some averag<strong>in</strong>g over <strong>the</strong> orientati<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> <strong>nuclei</strong> has to be carried out <strong>in</strong> <strong>the</strong> <strong>in</strong>itial DNS.<br />

The deformati<strong>on</strong> effects produce fluctuati<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> value <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> fusi<strong>on</strong> barrier <strong>in</strong> η around <strong>the</strong><br />

value obta<strong>in</strong>ed for spherical <strong>nuclei</strong>. In <strong>the</strong> present versi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> TCSM, <strong>the</strong> <strong>in</strong>tr<strong>in</strong>sic symmetry<br />

axes <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> deformed <strong>nuclei</strong> lie al<strong>on</strong>g <strong>the</strong> <strong>in</strong>ternuclear axis. For arbitrary orientati<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong><br />

<strong>in</strong>tr<strong>in</strong>sic symmetry axes <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> deformed <strong>nuclei</strong>, a more general TCSM [81] should be used.<br />

Calculati<strong>on</strong>s with <strong>the</strong> method suggested <strong>in</strong> [65] reveal a weak dependence <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> potential <strong>on</strong><br />

<strong>the</strong> orientati<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> <strong>nuclei</strong>. In order to completely take <strong>in</strong>to account <strong>the</strong> deformati<strong>on</strong> effect <strong>in</strong><br />

<strong>the</strong> driv<strong>in</strong>g potential calculated with <strong>the</strong> alternative microscopical method, <strong>the</strong> s<strong>in</strong>gle-particle<br />

levels should be taken for deformed <strong>nuclei</strong>. For <strong>the</strong> sake <str<strong>on</strong>g>of</str<strong>on</strong>g> simplicity, we use <strong>the</strong> s<strong>in</strong>gle-particle<br />

levels <str<strong>on</strong>g>of</str<strong>on</strong>g> spherical <strong>nuclei</strong> <strong>in</strong> <strong>the</strong> present calculati<strong>on</strong>s. However, <strong>the</strong> fit <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> Fermi surface by <strong>the</strong><br />

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