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Measurement of the fusion probability<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi mathvariant="normal">CN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>for the reaction of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Ti</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>50</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Pb</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>208</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

Radhika NaikDepartment of Chemistry, Oregon State University, Corvallis, Oregon 97331, USAW. LovelandDepartment of Chemistry, Oregon State University, Corvallis, Oregon 97331, USAP. H. SprungerDepartment of Chemistry, Oregon State University, Corvallis, Oregon 97331, USAA. M. VinodkumarDepartment of Chemistry, Oregon State University, Corvallis, Oregon 97331, USAD. PetersonDepartment of Chemistry, Oregon State University, Corvallis, Oregon 97331, USAC. L. JiangDepartment of Chemistry, Oregon State University, Corvallis, Oregon 97331, USAS. ZhuDepartment of Chemistry, Oregon State University, Corvallis, Oregon 97331, USAXiaodong TangDepartment of Chemistry, Oregon State University, Corvallis, Oregon 97331, USAE. F. MooreDepartment of Chemistry, Oregon State University, Corvallis, Oregon 97331, USAP. ChowdhuryDepartment of Chemistry, Oregon State University, Corvallis, Oregon 97331, USA
2007lv
ABI

Abstract

The capture cross sections and fission fragment angular distributions were measured for the reaction of $^{50}\mathrm{Ti}$ with $^{208}\mathrm{Pb}$ at center of mass projectile energies (${E}_{\mathrm{c}.\mathrm{m}.}$) of 183.7, 186.2, 190.2, 194.2, and 202.3 MeV (${E}^{*}=14.2$, 16.6, 20.6, 24.7, and 32.7 MeV). From fitting the backward angle fragment angular distributions, the cross sections for quasifission and fusion-fission and ${P}_{\mathrm{CN}}$, the probability that the colliding nuclei go from the contact configuration to inside the fission saddle point, were deduced. These quantities, along with the known values of the evaporation residue production cross sections for this reaction, were used to deduce values of the survival probabilities, ${W}_{\mathrm{sur}}$, for this reaction as a function of excitation energy. The deduced values of ${P}_{\mathrm{CN}}$ and ${W}_{\mathrm{sur}}$ and their dependence on excitation energy differ from some current theoretical predictions of these quantities.

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