Relativistic mean-field study of the properties of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mn>117</mml:mn></mml:mrow></mml:math>nuclei and the decay chains of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>293</mml:mn><mml:mo>,</mml:mo><mml:mn>294</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>117 isotopes

Bhuyan, M.; Patra, S. K.; Gupta, Raj K.

doi:10.1103/physrevc.84.014317

Cited by 52 publications

(60 citation statements)

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“…It is worth mentioning that the interaction parameters are able to describe the bulk properties of the nuclei reasonably good from the β-stable region to the drip-line [35,38,42,[44][45][46][47]. To deal with the open-shell nuclei, one has to consider the pairing correlations in their ground as well as excited states [33,35,38,42,[44][45][46][47]. The constant gap BCS approach is adopted for the present study and more details of the paring can be found in Ref.…”

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Above-barrier heavy-ion fusion cross-sections using the relativistic mean-field approach: Case of spherical colliding nuclei

et al. 2020

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In the present work, the influence of the nuclear matter density on the DF potential and on the Coulomb barrier parameters is studied systematically for collisions of spherical nuclei. The value of the parameter = ( 1 3 ⁄ + 1 3 ⁄ ) ⁄ (estimating the Coulomb barrier height) varies in these calculations from 10 MeV up to 150 MeV. We have introduced self-consistent relativistic mean field (RMF) density in the present analysis. For the nucleon-nucleon effective interaction, the M3Y forces with the finite range exchange term and density dependence are employed. The above barrier fusion cross sections are calculated within the framework of the trajectory model with surface friction. Results are compared with the previous study in which the nuclear density came from the Skyrme Hartree-Fock (HF) calculations and with the high precision experimental data. This comparison demonstrates that i) agreement between the theoretical and experimental cross sections obtained with RMF and HF densities is of the same quality and ii) the values of the only adjustable parameter (friction strength) obtained with RMF and HF densities strongly correlate with each other.where is the mass number and ( ⊥ , ) is the deformed density. The total binding energy and other observables are also obtained by using the standard relations, given in Ref. [50]. We apply the widely used NL3 [54] interaction parameter set for the present analysis. It is worth mentioning that the interaction parameters are able to describe the bulk properties of the nuclei reasonably good from the β-stable region to the drip-line [35,38,42,[44][45][46][47]. To deal with the open-shell nuclei, one has to consider the pairing correlations in their ground as well as excited states [33,35,38,42,[44][45][46][47]. The constant gap BCS approach is adopted for the present study and more details of the paring can be found in Ref. [31][32][33][34][35][36][37][38][39][40][42][43][44][45][46][47][48][49][50][51][52][53][54]. The trajectory fluctuation-dissipation model Dynamical equations and cross-sectionsThe physical picture of our dynamical model is similar to that of Ref.[55] the detail description of the model can be found in [22]. The fictitious particle with the reduced mass runs experiencing the action of the conservative, dissipative, and random (fluctuating)

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Above-barrier heavy-ion fusion cross-sections using the relativistic mean-field approach: Case of spherical colliding nuclei

et al. 2020

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“…The mean BE is a fundamental quantity to measure the stability of nuclei and can serve as a good interior to classify superheavy nuclei by their stabilities [35]. From the droplet mass formula [36], (16) the mean binding energies are calculated using the parameter values of Moller et al [37] with r o = 1.6 fm, α 1 = 16.279 MeV, α 2 = 23 MeV, Q = 29.4 MeV, and J = 32.5 MeV, and are tabulated in Table 1 with RMF(NL3) calculations [38] and FRDM [16] results for comparison. The deviation in mean BE with FRDM [16] are due to minor parametric difference from ref.…”

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Nuclear Level Density and the Structural Dynamics of Rotating Superheavy Nucleus Z = 117

Preetha

Kumar

2020

Braz J Phys

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The temperature dependence of the recently synthesized superheavy nucleus Z = 117 is extensively studied through the statistical model for a wide range of isotopes. The model code is developed and executed for calculating the excitation energy, single neutron separation energy, level density, and entropy for the hot system. The possible sub-magic and magic numbers predicted are 178, 184, and 196. It is found that the pairing correlation collapses at T = 0.8 MeV and shell effect vanishes at T = 2.5 MeV. The limiting temperature is determined from the behavior of the level density parameter as a function of temperature.

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“…The RMF model [18][19][20][21][22][23][24][25][26][27] al become famous in recent years and has been applied to finite nuclei and infinite nuclear matter. We have taken the RMF Lagrangian with NL3 force parameter 28 in the present study.…”

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The structural and decay properties of Francium isotopes

Bhuyan

Mahapatro

Singh

et al. 2015

Int. J. Mod. Phys. E

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We study the bulk properties such as binding energy (BE), root-mean-square (RMS) charge radius, quadrupole deformation etc. for Francium (F r) isotopes having mass number A = 180-240 within the framework of relativistic mean field (RMF) theory. Systematic comparisons are made between the calculated results from RMF theory, Finite Range Droplet Model (FRDM) and the experimental data. Most of the nuclei in the isotopic chain shows prolate configuration in their ground state. The α-decay properties like αdecay energy and the decay half-life are also estimated for three different chains of 198 Fr, 199 Fr and 200 Fr. The calculation for the decay half-life are carried out by taking two different empirical formulae and the results are compared with the experimental data. Int. J. Mod. Phys. E 2015.24. Downloaded from www.worldscientific.com by UNIVERSITY OF QUEENSLAND on 10/06/15. For personal use only. M. Bhuyan et al.information regarding the synthesis of new element due to stellar evolution. 5-7 Further, the elements in this region, such as Francium (Fr ) or Astatine, are very rarely abundant on the earth and they are only observed in nature by the decay chains of heavy elements. The structure of these neutron-deficient nuclei has attracted a lot of interest due to a multitude of phenomena because of the vicinity to the closed proton shell at Z = 82. A systematic appearance of low-lying intruder state is also one of the most amusing phenomena of this region. 1,8,9 Again, the studies of the Odd-Odd nuclei are difficult because of the coupling of odd valence nucleon results in multiple states, both normal and intruder, some members of which can become isomeric. 10 Hence, the α-decay often allows an ideal tool to identify their states in the daughter nucleus which has identical spin, parity as the parent nucleus. 11,12 In addition to that, the α-decay also plays a crucial role to investigate the exotic nuclei at drip-line and superheavy region. [13][14][15][16] Recently, the synthesis of neutron-deficient 198,199,200 F r from heavy-ion induced fusion-evaporation reactions of the type 141 Pr + 60 Ni → 201−x Fr, which decay simultaneously via "x" number of neutrons, 17 motivates us to focus on their structural as well as decay properties, using a microscopic theoretical model with well established force parameter. The objective of this paper is an investigation of the structure and the decay properties of F r isotopes in the framework of relativistic mean field (RMF) theory, since the time when the idea of deformed isotopes has appeared. This idea stimulated very much the studies, both theoretical and experimental, as the region of drip-line heavy nuclei is expected to be much closer to already known nuclei than the region of spherical one and, thus, much easier to be reached in experiment. More elaborately, the present investigation of F r isotopes far from the β-stable region is also a demanding field in nuclear structure physics. It provides some information towards the understanding of "Magicity" near drip-line regi...

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Relativistic mean-field study of the properties ofZ=117nuclei and the decay chains of the293,294117 isotopes

Cited by 52 publications

References 50 publications

Above-barrier heavy-ion fusion cross-sections using the relativistic mean-field approach: Case of spherical colliding nuclei

Above-barrier heavy-ion fusion cross-sections using the relativistic mean-field approach: Case of spherical colliding nuclei

Nuclear Level Density and the Structural Dynamics of Rotating Superheavy Nucleus Z = 117

The structural and decay properties of Francium isotopes

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