A systematic study is provided to analyze the behaviors of the interaction potential and complete fusion cross section which are influenced by the effects of the surface energy coefficients γ and temperature T. Our f...A systematic study is provided to analyze the behaviors of the interaction potential and complete fusion cross section which are influenced by the effects of the surface energy coefficients γ and temperature T. Our framework is restricted to the proximity formalism for fusion reactions induced by weakly bound projectiles 6 Li,7Li and 9 Be. The different surface energy coefficients(γ-MN76, γ-MN95, γ-MS00 and γ-PD03) are used to study the role of the parameterγ in the proximity potentials AW 95 and BW 91. Comparison of the theoretical and the experimental values of the barrier characteristics(barrier heights and its positions) indicates that the modified versions AW 95(γ-MS00) and BW91(γ-MS00) give the least deviations for fusion barrier heights. Moreover, it is shown that the temperature-dependence improves the calculated barrier heights based on the potentials AW 95 and BW 91. In the present study, the analysis of the mentioned effects on the complete fusion cross sections has been also discussed for the systems of interest. The obtained results reveal that the above-modified versions provide a more accurate description for behavior of the complete fusion cross sections than the original potentials at above-barrier energies. It is demonstrated that the increase of the temperature T enhances the complete fusion suppression at this energy range.展开更多
The complete fusion channel of two approaching nuclei,including the interaction potential and fusion cross section,is systematically analyzed using the face-center-cubic(FCC)approach.For this purpose,we assume that th...The complete fusion channel of two approaching nuclei,including the interaction potential and fusion cross section,is systematically analyzed using the face-center-cubic(FCC)approach.For this purpose,we assume that the initial distribution of the nucleons in target and projectile nuclei is formed based on the FCC lattice model.Moreover,the density-dependent nucleon-nucleon interaction(CDM3Y6)is employed to parameterize the nuclear interactions between the participant nuclei.The obtained results for 45 fusion reactions reveal that the FCC+CDM3Y6 model is able to reproduce the corresponding experimental data of the barrier heights and positions within±10%,on average.The analytical calculations of the fusion cross section are performed by employing the coupled-channel approach which includes couplings to the low-lying2^(+) and 3^(-) states in target and projectile nuclei.It is shown that the theoretical values of the fusion excitation functions based on the selected microscopic framework are consistent with the experimental data.展开更多
A systematic survey of the accurate measurements of heavy-ion fusion cross sections at extreme sub-barrier energies is performed using the coupled-channels(CC)theory that is based on the proximity formalism.This work ...A systematic survey of the accurate measurements of heavy-ion fusion cross sections at extreme sub-barrier energies is performed using the coupled-channels(CC)theory that is based on the proximity formalism.This work theoretically explores the role of the surface energy coefficient and energy-dependent nucleus-nucleus proxim-ity potential in the mechanism of the fusion hindrance of 14 typical colliding systems with negative Q-values,in-eluding ^(11a)B+^(197)AU,^(12)C+^(198)Pt,^(16)O+^(208)Pb,^(28)Si+^(94Mo),^(48)Ca+^(96)Zr,^(28Si+)^(64)Ni,^(58)Ni+^(58)Ni+,^(60)Ni+^(89)Y,^(12)C+^(204)Pb,^(36)S+^(64)Ni,^(36)S+^(90)Zr,^(40)Ca+^(90)Zr,^(40)Ca+^(40Ca)and ^(48)Ca+^(48)Ca,,as well as five typical colliding systems with positive Q-values,ineluding ^(12)C+^(30)Si,^24Mg+^(30)Si,^(36)Si+^(48)Ca, and ^(40)Ca+^(48)Ca.It is shown that the outcomes based on the proximity potential along with the above-mentioned physical effects achieve reasonable agreement with the experimentally observed data of the fusion cross sections(Tfus(£),astrophysical S(E)factors,and logarithmic derivatives L(E)in the energy region far below the Coulomb barrier.A discussion is also presented on the performance of the present theoretical approach in reproducing the experimental fusion barrier distributions for different colliding systems.展开更多
文摘A systematic study is provided to analyze the behaviors of the interaction potential and complete fusion cross section which are influenced by the effects of the surface energy coefficients γ and temperature T. Our framework is restricted to the proximity formalism for fusion reactions induced by weakly bound projectiles 6 Li,7Li and 9 Be. The different surface energy coefficients(γ-MN76, γ-MN95, γ-MS00 and γ-PD03) are used to study the role of the parameterγ in the proximity potentials AW 95 and BW 91. Comparison of the theoretical and the experimental values of the barrier characteristics(barrier heights and its positions) indicates that the modified versions AW 95(γ-MS00) and BW91(γ-MS00) give the least deviations for fusion barrier heights. Moreover, it is shown that the temperature-dependence improves the calculated barrier heights based on the potentials AW 95 and BW 91. In the present study, the analysis of the mentioned effects on the complete fusion cross sections has been also discussed for the systems of interest. The obtained results reveal that the above-modified versions provide a more accurate description for behavior of the complete fusion cross sections than the original potentials at above-barrier energies. It is demonstrated that the increase of the temperature T enhances the complete fusion suppression at this energy range.
文摘The complete fusion channel of two approaching nuclei,including the interaction potential and fusion cross section,is systematically analyzed using the face-center-cubic(FCC)approach.For this purpose,we assume that the initial distribution of the nucleons in target and projectile nuclei is formed based on the FCC lattice model.Moreover,the density-dependent nucleon-nucleon interaction(CDM3Y6)is employed to parameterize the nuclear interactions between the participant nuclei.The obtained results for 45 fusion reactions reveal that the FCC+CDM3Y6 model is able to reproduce the corresponding experimental data of the barrier heights and positions within±10%,on average.The analytical calculations of the fusion cross section are performed by employing the coupled-channel approach which includes couplings to the low-lying2^(+) and 3^(-) states in target and projectile nuclei.It is shown that the theoretical values of the fusion excitation functions based on the selected microscopic framework are consistent with the experimental data.
文摘A systematic survey of the accurate measurements of heavy-ion fusion cross sections at extreme sub-barrier energies is performed using the coupled-channels(CC)theory that is based on the proximity formalism.This work theoretically explores the role of the surface energy coefficient and energy-dependent nucleus-nucleus proxim-ity potential in the mechanism of the fusion hindrance of 14 typical colliding systems with negative Q-values,in-eluding ^(11a)B+^(197)AU,^(12)C+^(198)Pt,^(16)O+^(208)Pb,^(28)Si+^(94Mo),^(48)Ca+^(96)Zr,^(28Si+)^(64)Ni,^(58)Ni+^(58)Ni+,^(60)Ni+^(89)Y,^(12)C+^(204)Pb,^(36)S+^(64)Ni,^(36)S+^(90)Zr,^(40)Ca+^(90)Zr,^(40)Ca+^(40Ca)and ^(48)Ca+^(48)Ca,,as well as five typical colliding systems with positive Q-values,ineluding ^(12)C+^(30)Si,^24Mg+^(30)Si,^(36)Si+^(48)Ca, and ^(40)Ca+^(48)Ca.It is shown that the outcomes based on the proximity potential along with the above-mentioned physical effects achieve reasonable agreement with the experimentally observed data of the fusion cross sections(Tfus(£),astrophysical S(E)factors,and logarithmic derivatives L(E)in the energy region far below the Coulomb barrier.A discussion is also presented on the performance of the present theoretical approach in reproducing the experimental fusion barrier distributions for different colliding systems.
