Relative mass distributions of neutron-rich thermally fissile nuclei within a statistical model

Kumar, Bharat; Kannan, M. T. Senthil; Balasubramaniam, M.; Agrawal, B. K.; Patra, S. K.

doi:10.1103/physrevc.96.034623

Cited by 6 publications

(7 citation statements)

References 49 publications

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“…It is used to explain energy gap in single particle spectrum. The detail formalism is given in [3,4], but for completeness, we briefly highlight some essential part of the formalism. The BCS pairing state is defined as…”

Section: Pairing and Temperature Dependent E-rmf Formalismmentioning

confidence: 99%

“…The temperature dependent of the equations are adopted through the occupation number of protons and neutrons as it is developed in Refs. [3,4]. The results are discussed in Section III and compared with various models, wherever necessary.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the relative mass distribution of thermally fissile nuclei for binary [3] and ternary [4] fission processes have been reported. Here, it is shown that the relative yield of fission fragments depend very much on the temperature of the system.…”

Section: Introductionmentioning

confidence: 99%

“…In this section, the equations of motion of the nucleon and meson fields are obtained from the relativistic mean field Lagrangian. The temperature dependence of the equations are adopted through the occupation number of protons and neutrons as was developed in [3,4]. The results are discussed in section 3 and compared with various models, wherever necessary.…”

Section: Introductionmentioning

confidence: 99%

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Study of hot thermally fissile nuclei using relativistic mean field theory

Quddus¹,

Naik²,

Patra³

2018

J. Phys. G: Nucl. Part. Phys.

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We have studied the properties of hot 234,236 U and 240 Pu nuclei in the frame-work of relativistic mean field formalism. The recently developed FSUGarnet and IOPB-I parameter sets are implemented for the first time to deform nuclei at finite temperature. The results are compared with the well known NL3 set. The said isotopes are structurally important because of the thermally fissile nature of 233,235 U and 239 Pu as these nuclei ( 234,236 U and 240 Pu) are formed after the absorption of a thermal neutron, which undergoes fission. Here, we have evaluated the nuclear properties, such as shell correction energy, neutron-skin thickness, quadrupole and hexadecapole deformation parameters and asymmetry energy coefficient for these nuclei as a function of temperature.

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Section: Pairing and Temperature Dependent E-rmf Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Study of hot thermally fissile nuclei using relativistic mean field theory

Quddus¹,

Naik²,

Patra³

2018

J. Phys. G: Nucl. Part. Phys.

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“…Their results show that some isotopes in that series are stable against α-decay as well as spontaneous fission [7]. In addition to these, the shell correction energy, deformation parameters, the asymmetry energy coefficient etc., are also crucial quantities to study the structure and dynamics of a nucleus [5,[8][9][10][11][12][13][14].…”

Section: Introduction mentioning

confidence: 99%

Structure and Decay Properties of Th Isotopes Using E-RMFT Formalism

et al. 2022

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In the present scenario, the search for the thermally fissile nuclei is crucial and also important not only for the research background of nuclear physics but also for the great social and economic impact on the country. Many theoretical works have been performed to analyze a series of Th and U-isotopes and found that some of these isotopes are stable against α-decays and spontaneous fission. Here, we have chosen the isotopic chain of Th-nuclei for the present analysis using relativistic mean-field formalism. The work also explores a few stable isotopes in this region of the nuclear landscape, which is crucial for understanding the exotic region of the nuclear landscape. The objective of this work is to study the bulk properties such as binding energies, root mean square charge radii, neutronproton radii, neutron skin-thickness as well as intrinsic properties such as excitation energy and specific heat for the Th-isotopic chain. Furthermore, the stability of these isotopes is investigated through their possible decay chain analysis. The relativistic mean-field theory was used to obtain the nuclear bulk properties, namely, binding energies, root-mean-square charge radii, neutron skin-thickness, and excitation energy. The steady solution of the temperaturedependent effective relativistic mean-field equations was obtained selfconsistently by taking different inputs of the initial deformations. All the calculations were done for NL3, FSUGarnet and IOPB-I parameter sets for Th-isotopes. The decay energy of α (Q α ) and β-decay (Q β ) were calculated from the binding energies and were further used to obtain the corresponding halflives. We have analyzed the structural and decay properties of Th isotopes. The excitation energy and specific heat are also estimated for these considered nuclei by using the temperature-dependent effective relativistic mean-field (E-RMFT) formalism for NL3, FSUGarnet and IOPB-I parameters sets. The calculated results are compared with the available experimental data and found similar observations for all the parameter sets at a given temperature. The excitation energy study signifies the shell melting point where maybe the shape transition occurs. Three phenomenological formulae such as Viola-Seaborg, Royer and modified universal decay law are adopted for the calculation of αdecay half-lives. We found lower values of α-decay half-lives indicating a higher rate of β-decay for the isotopic chain.

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Semiclassical study of thermodynamic properties in the spontaneous fission of $$Cf^{252}$$

Monga

Kaur

2022

Indian J Phys

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Relative mass distributions of neutron-rich thermally fissile nuclei within a statistical model

Cited by 6 publications

References 49 publications

Study of hot thermally fissile nuclei using relativistic mean field theory

Study of hot thermally fissile nuclei using relativistic mean field theory

Structure and Decay Properties of Th Isotopes Using E-RMFT Formalism

Semiclassical study of thermodynamic properties in the spontaneous fission of $$Cf^{252}$$

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