Erratum: Effect of density and nucleon-nucleon potential on the fusion cross section within the relativistic mean field formalism [Phys. Rev. C 
<b>101</b>
, 044603 (2020)]

Bhuyan, M.; Kumar, Raj; Rana, Shilpa; Jain, Deepak; Patra, S. K.; Carlson, B. V.

doi:10.1103/physrevc.104.059901

Cited by 6 publications

(32 citation statements)

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“…The contributions from the meson fields are expressed either by mean fields or by point-like interactions between the nucleons [70,71], and to reflect the correct saturation properties of infinite nuclear matter, the non-linear coupling terms [47,72] or the density depending coupling constants [63,64,73,74,75] are introduced. The relativistic Lagrangian density for a nucleon-meson many-body system [47,48,49,60,61,62,65,66,67,68,69,76,77,78,79,80] is as following:…”

Section: Relativistic Mean-field Formalismmentioning

confidence: 99%

Exploring the ground state bulk and decay properties of the nuclei in superheavy island

Jain,

Kumar,

Bhuyan

2022

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The α-decay half-lives of 204 superheavy nuclei covering the range 114 ≤ Z ≤ 126 have been investigated using the relativistic mean-field model (RMF) for NL3 * parameter set. The ground state bulk properties such as binding energy, quadrupole deformation parameter (β 2 ), and root-mean-square charge radii for these nuclei are analyzed. Four different semi-empirical formulae, namely, the universal decay law (UDL), the Viola-Seaborg (VSS) formula, the modified universal decay law (MUDL), and the modified Brown formula (MBrown), are used to obtain the α-decay half-lives for the considered nuclei. To examine the applicability of relativistic mean-field model within NL3 * parametrization, the α-decay energies, and the half-lives of a few known superheavy nuclei within the range 102 ≤ Z ≤ 118 are calculated and the results are compared with the experimental data along with the theoretical predictions. The α-decay energies (Q-values) are estimated from the binding energies of the parent, and daughter from the RMF (NL3 * ) parameter set. The calculated results are compared with macroscopic-microscopic Finite-Range-Droplet-Model (FRDM), Global Nuclear Mass Model (WS3, WS4), Weizsacker-Skyrme mass model (WS * ) predictions, and the experimental data, wherever available. The possible standard deviations are also estimated for experimental and various theoretical predictions. We find a good consistency for the experimental-to-UDL, FRDM-to-UDL, and WS4-to-UDL estimates of the decay energy and corresponding half-life. The present analysis provides the theoretical predictions within the microscopic model for the upcoming experiments on the superheavy region.

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Section: Relativistic Mean-field Formalismmentioning

confidence: 99%

Exploring the ground state bulk and decay properties of the nuclei in superheavy island

Jain,

Kumar,

Bhuyan

2022

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“…In this approach, the nuclear optical potential is obtained using nuclear density distributions and effective nucleon-nucleon interaction. The model has been widely adopted to provide real and imaginary parts of the optical potentials between the colliding ions in elastic and inelastic scattering as well as in the study of nuclear fusion characteristics [32][33][34][35][36][37] and references therein.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the microscopic R3Y NN interaction potential has also been derived from the relativistic mean-field formalism [38][39][40]. In relativistic mean-field (RMF) models, the point-like Dirac nucleons interact through the exchange of mesons and photons [36,37,[41][42][43][44][45][46][47]. The mass of σ meson and the coupling constants of the interacting mesons are fine-tuned to the ground state bulk properties of finite nuclei.…”

Section: Introductionmentioning

confidence: 99%

Systematic study of fusion barrier characteristics within the relativistic mean-field formalism

Rana,

Bhuyan,

Kumar

2022

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Background: Heavy-ion fusion reactions play a crucial role in various aspects of nuclear physics and astrophysics. The nuclear interaction potential and hence the fusion barrier formed between the interacting nuclei are the keys to understanding the complex fusion process dynamics. Thus, a theoretical investigation of fusion barrier characteristics which includes the relativistic effects is of paramount significance. Purpose: This work intends to explore the fusion barrier characteristics of different target-projectile combinations within the relativistic mean-field (RMF) formalism. The M3Y nucleon-nucleon (NN) potential is compared with the relativistic R3Y and density dependent R3Y (DDR3Y) NN potentials within the double folding approach. A systematic study is carried out to study the effect of different RMF density distributions and effective NN interactions on the fusion and/or capture cross-section of twenty-four (24 nos) target-projectile combinations leading to heavy and superheavy nuclei (SHN). Methods: The density distributions of interacting nuclei and the microscopic R3Y NN interaction are obtained from relativistic mean-field (RMF) formalism for non-linear NL1, NL3, TM1, and relativistic-Hartree-Bogoliubov (RHB) approach for DDME2 parameter sets. The medium independent relativistic R3Y, the density dependent DDR3Y, and widely adopted M3Y NN potential are used to obtain the nuclear interaction potential within the double folding approach. The densities for the projectiles and targets are obtained from the relativistic mean-field approaches. The fusion and/or capture cross-section for the different reaction systems is calculated using the well-known -summed Wong model. Results: The barrier height and position of 24 heavy-ion reaction systems are obtained for different nuclear density distributions and effective NN interaction potentials. We have considered the lighter mass projectile and heavier mass target combinations for synthesizing exotic drip-line nuclei, including the super-heavy nuclei (SHN). These reactions include the even-even 48 Ca+ 154 Sm, 48 Ca+ 238 U, 48 Ca+ 248 Cm, 26 Mg+ 248 Cm; even-odd 46 K+ 181 Ta; odd-odd 31 Al+ 197 Au and 39 K+ 181 Ta and also seventeen other systems for the synthesis of SHN Z=120. The comparison of fusion and/or capture cross-section obtained from the -summed Wong model is made with the available experimental data. Conclusions: The phenomenological M3Y NN potential is observed to give higher barrier heights than the relativistic R3Y NN potential for all the reaction systems. The comparison of results obtained from different relativistic parameter sets shows that the densities from NL1 and TM1 parameter sets give the lowest and highest barrier heights for all the systems under study. The density dependant DDR3Y NN potential is obtained within the Relativistic-Hartree-Bogoliubov approach for the DDME2 parameter set. We observed higher barrier heights and lower cross-sections for DDR3Y NN potential as compared to density-independent R3Y NN potentials obtained for con...

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“…Recently, a large number of works have been reported, which connect the surface properties of finite nuclei with the nuclear matter observables [8,[10][11][12][13][14][15][16]. To calculate these properties, a large number of methods are adopted such as Coherent Density Fluctuation Model [9-12, 14, 15] and Liquid Drop Approximation [17].…”

Section: Introductionmentioning

confidence: 99%

“…Some of the relations of symmetric energy and related quantities have a strong correlation with the structures of the finite nuclei. We have reported in an isotopic series that the symmetric energy shows a peak at the corresponding magic number [15,16,19]. Due to the advancement of the radioactive ion beam facility, the study of highly asymmetric isospin neutron/proton-rich nuclei open up a new area of research in Nuclear Physics.…”

Section: Introductionmentioning

confidence: 99%

Systematic study of surface properties for Ne, Na, Mg, Al and Si isotopes in a coherent density fluctuation model using the relativistic mean field formalism

Pattnaik¹,

Panda²,

Bhuyan³

et al. 2021

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We have systematically studied the surface properties, such as symmetric energy, neutron pressure, and symmetry energy curvature coefficient for Ne, Na, Mg, Al, and Si nuclei from the proton to neutron drip-lines. The Coherent Density Fluctuation Model (CDFM) is used to estimate these quantities taking the relativistic meanfield densities as inputs. The Brückner energy density functional is taken for the nuclear matter binding energy and local density approximation is applied for its conversion to coordinate space. The symmetry energy again decomposed to the volume and surface components within the liquid drop model formalism to the volume and surface parts separately. Before calculating the surface properties of finite nuclei, the calculated bulk properties are compared with the experimental data, whenever available. The NL3* parameter set with the BCS pairing approach in an axially deformed frame-work is used to take care of the pairing correlation when needed. The deformed density is converted to its spherical equivalent with a two Gaussian fitting, which is used as an input for the calculation of weight function in the CDFM approximation. With the help of the symmetric energy for the recently isotopes 29 F, 28 Ne, 29,30 Na and 31,35,36 Mg are considered to be within the island of inversion emphasized [Phys. Lett. B 772, 529 (2017)]. Although we get large symmetric energies corresponding to a few neutron numbers for this isotopic chain as expected, an irregular trend appears for all these considered nuclei. The possible reason behind this abnormal behavior of symmetry energy for these lighter mass nuclei is also included in the discussion, which gives a direction for future analysis.

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Erratum: Effect of density and nucleon-nucleon potential on the fusion cross section within the relativistic mean field formalism [Phys. Rev. C 101 , 044603 (2020)]

Cited by 6 publications

References 1 publication

Exploring the ground state bulk and decay properties of the nuclei in superheavy island

Exploring the ground state bulk and decay properties of the nuclei in superheavy island

Systematic study of fusion barrier characteristics within the relativistic mean-field formalism

Systematic study of surface properties for Ne, Na, Mg, Al and Si isotopes in a coherent density fluctuation model using the relativistic mean field formalism

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