Extended Hauser-Feshbach Method for Statistical Binary-Decay of Light-Mass Systems

Abstract

An Extended Hauser-Feshbach Method (EHFM) is developed for light heavy-ion fusion reactions in order to provide a detailed analysis of all the possible decay channels by including explicitly the fusion-fission phase-space in the description of the cascade chain. The mass-asymmetric fission component is considered as a complex-fragment binary-decay which can be treated in the same way as the light-particle evaporation from the compound nucleus in statistical-model calculations. The method of the phase-space integrations for the binary-decay is an extension of the usual Hauser-Feshbach formalism to be applied to the mass-symmetric fission part. The EHFM calculations include ground-state binding energies and discrete levels in the low excitation-energy regions which are essential for an accurate evaluation of the phase-space integrations of the complex-fragment emission (fission). In the present calculations, EHFM is applied to the first-chance binary-decay by assuming that the second-chance fission decay is negligible. In a similar manner to the description of the fusion-evaporation process, the usual cascade calculation of light-particle emission from the highly excited complex fragments is applied. This complete calculation is then defined as EHFM+CASCADE. Calculated quantities such as charge-, mass- and kinetic-energy distributions are compared with inclusive and/or exclusive data for the ${}^{32}$S+${}^{24}$Mg and ${}^{35}$Cl+${}^{12}$C reactions which have been selected as typical examples. Finally, the missing charge distributions extracted from exclusive measurements are also successfully compared with the EHFM+CASCADE predictions.

34 pages, 6 Figures available upon request, Phys. Rev. C (to be published)

References in corpus (1)

• Statistical Binary Decay of ${}^{35}$Cl + ${}^{24}$Mg at 8 MeV/nucleon

Cited by in corpus (17)

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• Emission of intermediate mass fragments from hot ${}^{116}$Ba${}^{\ast }$ formed in low-energy ${}^{58}$Ni+${}^{58}$Ni reaction
• Experimental investigation of $\alpha$-condensation in light nuclei
• Highly deformed ${}^{40}$Ca configurations in ${}^{28}$Si + ${}^{12}$C
• The population of deformed bands in ${}^{48}$Cr by emission of ${}^8$Be from the ${}^{32}$S + ${}^{24}$Mg reaction
• Intermediate-mass fragments from fission and multifragmentation in the spallation of 136Xe
• Survival of orbiting in ${}^{20}$Ne (7 - 10 MeV/nucleon) + ${}^{12}$C reactions
• Fusion and Binary-Decay Mechanisms in the ${}^{35}$Cl+${}^{24}$Mg System at E/A $\approx$ 8 MeV/Nucleon
• Fission decay of N = Z nuclei at high angular momentum: ${}^{60}$Zn
• Characterization of fragment emission in ^{20}Ne (7 - 10 MeV/nucleon) + ^{12}C reactions
• Decay analysis of compound nuclei with mass A$\sim 30-200$ formed in the reactions involving loosely bound projectiles
• Dissipation of angular momentum in light heavy ion collision
• Complex fragment emission in low energy light-ion reactions
• Dissipative collisions in ${}^{16}$O + ${}^{27}$Al at E${}_{lab}$=116 MeV
• Study of Dissipative Collisions of ${}^{20}$Ne ($\sim$7-11 MeV/nucleon) + ${}^{27}$Al