Abstract:The cold binary fission of even-even [244][245][246][247][248][249][250][251][252][253][254][255][256][257][258] Cf isotopes has been studied by taking the interacting barrier as the sum of Coulomb and proximity potential. The favorable fragment combinations are obtained from the cold valley plot (plot of driving potential vs. mass number of fragments) and by calculating the yield for charge minimized fragments. It is found that highest yield for 244,246,248 Cf isotopes are for the fragments with isotope of P… Show more
“…Researchers have usually calculated the spontaneous fission half-lives [46][47][48] and Relative mass yields [21,23,49] for even-even elements with WKB model. In one of the modified statistical scission-point mode [18], the mass yield values are significantly different compared to the experimental data (more than 0.03).…”
Section: Resultsmentioning
confidence: 99%
“…The fission fragments mass yields were calculated using the WKB approximation model for spontaneous fission [20,21], cold fission [22,23] and ternary fission [24,25] of super-heavy nuclei and Actinides. Recently, Gao [26] calculated the spontaneous fission half-lives for heavy and super-heavy nuclei by applying a new method of numerically solving Schrödinger equation.…”
The spontaneous fission fragments mass yield of 238U is calculated with two models: WKB approximation model and statistical scission-point model. The results are compared with experimental data. This shows that the statistical scission-point model results are closer to the experimental data of the spontaneous fission fragments mass distributions than the WKB model. Also, experimental values are obtained by changing the deformation parameter for light fragments. The influence of temperature, deformation parameters, and pairing energy on the spontaneous fission fragments mass yield has been investigated within the statistical scission-point model. Adding the pairing correction energy to the total energy of the fission system adds some oscillations in theoretical results of fission fragments mass yields, also the inclusion of fission fragments temperature regardless of the pairing energy causes some theoretical results to be overestimated compared to the experimental data. It is seen that adding the pairing correction energy with the fragments temperature together leads to acceptable results compared to the experimental values. Therefore, the theoretical results of the systematic modified statistical scission-point model are in good agreement with the experimental values. This shows that although the statistical model is commonly used for the even–even isotopes, all isotopes can be investigated using the modified statistical model.
“…Researchers have usually calculated the spontaneous fission half-lives [46][47][48] and Relative mass yields [21,23,49] for even-even elements with WKB model. In one of the modified statistical scission-point mode [18], the mass yield values are significantly different compared to the experimental data (more than 0.03).…”
Section: Resultsmentioning
confidence: 99%
“…The fission fragments mass yields were calculated using the WKB approximation model for spontaneous fission [20,21], cold fission [22,23] and ternary fission [24,25] of super-heavy nuclei and Actinides. Recently, Gao [26] calculated the spontaneous fission half-lives for heavy and super-heavy nuclei by applying a new method of numerically solving Schrödinger equation.…”
The spontaneous fission fragments mass yield of 238U is calculated with two models: WKB approximation model and statistical scission-point model. The results are compared with experimental data. This shows that the statistical scission-point model results are closer to the experimental data of the spontaneous fission fragments mass distributions than the WKB model. Also, experimental values are obtained by changing the deformation parameter for light fragments. The influence of temperature, deformation parameters, and pairing energy on the spontaneous fission fragments mass yield has been investigated within the statistical scission-point model. Adding the pairing correction energy to the total energy of the fission system adds some oscillations in theoretical results of fission fragments mass yields, also the inclusion of fission fragments temperature regardless of the pairing energy causes some theoretical results to be overestimated compared to the experimental data. It is seen that adding the pairing correction energy with the fragments temperature together leads to acceptable results compared to the experimental values. Therefore, the theoretical results of the systematic modified statistical scission-point model are in good agreement with the experimental values. This shows that although the statistical model is commonly used for the even–even isotopes, all isotopes can be investigated using the modified statistical model.
“…The extremum values of energy at the scission point is usually used to find the atomic numbers of the fission fragments [36][37][38][39]. The exponential function is upward-sloping, so the minimum total energy at the scission point has the greatest effect in equation (2).…”
The fission fragment mass-yields are evaluated for pre-actinide and actinide isotopes using a systematic statistical scission point model. The total potential energy of the fissioning systems at the scission point is presented in approximate relations as functions of mass numbers, deformation parameters and the temperature of complementary fission fragments. The collective temperature, T
coll, and the temperature of fission fragments, T
i
, are separated and the effect of collective temperature on mass yields results is investigated. The fragment temperature has been calculated with the generalized superfluid model. The sum of deformation parameters of complementary fission fragments has been obtained by fitting the calculated results with the experimental data. To investigate the transitions between symmetric and asymmetric modes mass yields for pre-actinide and heavy actinides are calculated with this model. The transition from asymmetric to symmetric fission is well reproduced using this systematic statistical scission point model. The calculated results are in good agreement with the experimental data with T
coll = 2 MeV at intermediate excitation energy and with T
coll = 1 MeV for spontaneous fission. Despite the Langevin model, in the scission point model, a constraint on the deformation parameters of fission fragments has little effect on the results of the mass yield.
“…Based on the liquid drop model, Bohr and Wheeler [2] developed the theory of fission. Over many years, it has been clearly observed that lowenergy fission of heavy elements with Z > 90 is one of the most complicated nuclear processes [3]. Andersson et al [4] investigated binary fission of 159 Tb and nat Ag induced by 600MeV protons, finding fission yield cross sections of 1.9mb and 1.0mb, respectively.…”
Section: Introductionmentioning
confidence: 99%
“…Fig 3. Plot of logarithmic half-lives for isotopes of nuclei 298−300,302 120 as a function of fission fragment mass number A 1…”
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