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Examination of the different roles of neutron transfer in the sub-barrier fusion reactions<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">S</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>32</mml:mn></mml:mrow></mml:mmultiscripts><mml:mo>+</mml:mo><mml:mmultiscripts><mml:mi mathvariant="normal">Zr</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>94</mml:mn><mml:mo>,</mml:mo><mml:mn>96</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mrow/><mml:mn>40</mml:mn></mml:msup><mml:mi>Ca</mml:mi><mml:mo>+</mml:mo><mml:mmultiscripts><mml:mi mathvariant="normal">Zr</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>94</mml:mn><mml:mo>,</mml:mo><mml:mn>96</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>

V. V. SargsyanJoint Institute for Nuclear Research, 141980 Dubna, RussiaG. G. AdamianJoint Institute for Nuclear Research, 141980 Dubna, RussiaN. V. AntonenkoJoint Institute for Nuclear Research, 141980 Dubna, RussiaW. ScheidInstitut für Theoretische Physik der Justus-Liebig-Universität, D-35392 Giessen, GermanyH. Q. ZhangChina Institute of Atomic Energy, P.O. Box 275, Beijing 102413, China
2015lv
ABI

Abstract

The sub-barrier capture (fusion) reactions $^{32}\mathrm{S}+^{90,94,96}\mathrm{Zr}$, $^{36}\mathrm{S}+^{90,96}\mathrm{Zr}$, ${}^{40}\mathrm{Ca}+^{90,94,96}\mathrm{Zr}$, and ${}^{48}\mathrm{Ca}+^{90,96}\mathrm{Zr}$ with positive and negative $Q$ values for neutron transfer are studied with the quantum diffusion approach and the universal fusion function representation. For these systems, the $s$-wave capture probabilities are extracted from the experimental excitation functions and are also analyzed. Different effects of the positive ${Q}_{xn}$-value neutron transfer in the fusion enhancement are revealed in the relatively close reactions $^{32}\mathrm{S}+^{94,96}\mathrm{Zr}$ and ${}^{40}\mathrm{Ca}+^{94,96}\mathrm{Zr}$.

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