Correlation among the nuclear structure and effective symmetry energy of finite nuclei

Naz, Tabassum; Bhuyan, M.; Ahmad, Shakeb; Patra, S. K.; Abusara, H.

doi:10.1016/j.nuclphysa.2019.04.011

Cited by 16 publications

(13 citation statements)

References 82 publications

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“…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].…”

Section: Relativistic Mean-field Approach For the Nuclear Densitiesmentioning

confidence: 99%

“…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.…”

Section: Relativistic Mean-field Approach For the Nuclear Densitiesmentioning

confidence: 99%

“…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].…”

Section: Relativistic Mean-field Approach For the Nuclear Densitiesmentioning

confidence: 99%

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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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Section: Relativistic Mean-field Approach For the Nuclear Densitiesmentioning

confidence: 99%

Section: Relativistic Mean-field Approach For the Nuclear Densitiesmentioning

confidence: 99%

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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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“…Hence, the constant gap BCS-pairing and Bogoliubov transformation approaches are valid in present calculations [71]. Many other authors and we have already applied these kinds of prescription for pairing correlations both in the RMF and Skyrme-Hartree-Fock (SHF) [72,60,73,7,12,74,56,64,63,57].…”

Section: Theoretical Formalismmentioning

confidence: 89%

The kinks in charge radii across $N$ = 82 and 126 revisited

Bhuyan,

Maheshwari,

Kassim

et al. 2021

Preprint

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We revisit the studies of the isotopic shift in the charge radii of even-even isotopes of Sn and Pb nuclei at N = 82, and 126, respectively, within the relativistic mean-field and Relativistic-Hartree-Bogoliubov approach. The shell model is also used to estimate isotopic shift in these nuclei, for the first time, to the best of our knowledge. The ground state single-particle energies (spe) are calculated for non-linear NL3 & NL3 * and density-dependent DD-ME2 parameter sets compared with the experimental data, wherever available. We establish a correlation between the filling of single-particle levels and the isotopic shift in occupation probabilities. The obtained spe from the relativistic mean-field and Relativistic-Hartree-Bogoliubov approaches are in line with those used in the shell model and experimental data for both the Sn and Pb isotopic chains. The shell model calculated isotopic shift agrees with relativistic mean-field and Relativistic-Hartree-Bogoliubov approaches that explain the experimental data quite well.

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“…[90][91][92] In principle, the Bogoliubov transformation is the widely used method to take pairing correlations for the drip-line nuclei. 8,33,53,80,82 We have used the constant gap BCS approach within the NL3, & NL3 * and Bogoliubov transformation within the DD-ME2 parameter sets for the present analysis. 5, 8, 29, 32, 33, 67-69, 78, 80, 81, 85-87 August 30, 2021 0:40 WSPC/INSTRUCTION FILE alpha120-V3…”

Section: Introductionmentioning

confidence: 99%

Structural and decay properties of nuclei appearing in the $α$-decay chains of $^{296,298,300,302,304}$120 within the relativistic mean-field formalism

Biswal,

Jain,

Kumar

et al. 2021

Preprint

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An extensive study of α-decay half-lives for various decay chains of isotopes of Z = 120 is performed within the axially deformed relativistic mean-field (RMF) formalism by employing the NL3, NL3 * , and DD-ME2 parameter set. The structural properties of the nuclei appearing in the decay chains are explored. The binding energy, quadrupole deformation parameter, root-mean-square charge radius, and pairing energy are calculated for the even-even isotopes of Z = 100 − 120, which are produced in five different α-decay chains, namely, 296 120 → 260 No, 298 120 → 262 No, 300 120 → 264 No, 302 120 → 266 No, and 304 120 → 268 No. A superdeformed prolate ground state is observed for the heavier nuclei, and gradually the deformation decreases towards the lighter nuclei in the considered decay chains. The RMF results are compared with various theoretical predictions and experimental data. The α-decay energies are calculated for each decay chain. To determine the relative numerical dependency of the half-life for a specific αdecay energy, the decay half-lives are calculated using four different formulas, namely, Viola-Seaborg, Alex-Brown, Parkhomenko-Sobiczewski, and Royer for the above said five α-decay chain. We notice a firm dependency of the half-life on the α-decay formula in terms of Qα-values for all decay chains. Further, the present study also strengthens the prediction for the island of stability in terms of magic number at the superheavy valley

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Correlation among the nuclear structure and effective symmetry energy of finite nuclei

Cited by 16 publications

References 82 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

The kinks in charge radii across $N$ = 82 and 126 revisited

Structural and decay properties of nuclei appearing in the $α$-decay chains of $^{296,298,300,302,304}$120 within the relativistic mean-field formalism

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