Investigation of proton emission using deformed relativistic mean field densities

Sahoo, T.; Kaur, Manpreet; Panda, R. N.; Das, Piyush R.; Patra, S. K.

doi:10.1142/s0218301319500952

Cited by 8 publications

(6 citation statements)

References 67 publications

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“…The reason for considering two types of prescriptions is to investigate the effects of pairing as well as their model dependence on nuclear matter quantities at local density. For nuclei lying close to the β-stability line, the constant gap BCS pairing approach can be used to obtain a reasonably good pairing approximation [99], whereas, for nuclei lying in the exotic region, that is, close to the drip-line, a minimal effect is observed when employing the BCS approach. This paves the way for the Bogoliubov transformation, which is found to be a viable method for dealing with pairing correlation in exotic drip-line nuclei [95].…”

Section: Theoretical Formalismmentioning

confidence: 99%

Isospin dependent properties of the isotopic chains of Scandium and Titanium nuclei within the relativistic mean-field formalism *

Yadav¹,

Kumar²,

Bhuyan³

2022

Chinese Phys. C

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The coherent density fluctuation method (CDFM) is used to estimate the isospin-dependent properties of finite nuclei such as symmetry energy, surface symmetry energy, and volume symmetry energy from its corresponding component in infinite nuclear matter. The relativistic mean-field (RMF) formalism with non-linear NL3 and Relativistic-Hartree-Bogoliubov with density-dependent DD-ME2 interaction parameters are employed in the present analysis. The weight function $\vert \mathcal{F}(x) \vert^{2} $ is estimated using the total density of each nucleus, which in turn is used along with the nuclear matter quantities to obtain the effective symmetry energy and its components in the finite nuclei. We calculate the ground state bulk properties such as nuclear binding energy, quadrupole deformation, two-neutron separation energy, the differential variation of two-neutron separation energy, and root-mean-square charge radius for the Sc- and Ti- isotopic chains based on non-linear NL3 and density-dependent DD-ME2 parameter sets. Further, the ground state density distributions are used within the CDFM to obtain the effective surface properties such as symmetry energy and its components, namely volume and surface symmetry energy, for both the parameter sets. The calculated quantities are used to understand the isospin dependent structural properties of finite nuclei near and beyond the drip line that will further our horizon of finding newer magicity along the isotopic chains. A shape transition is observed from prolate-spherical-prolate near $N$ = 40 for Sc-, and spherical to prolate near the drip-line region of Ti- Isotopes. Notable signatures of shell and/or sub-shell closures have been found for the magic neutron numbers at $N$ = 20 and 28 for both the isotopic chain using the nuclear bulk and isospin quantities. In addition to these, a few signatures of shell/sub-shell closure are observed near the drip-line region, at $N$ = 34 and 50 by following the isospin dependent observables, namely symmetry energy and its components.

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Section: Theoretical Formalismmentioning

confidence: 99%

Isospin dependent properties of the isotopic chains of Scandium and Titanium nuclei within the relativistic mean-field formalism *

Yadav¹,

Kumar²,

Bhuyan³

2022

Chinese Phys. C

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“…This paves the way for the Bogoliubov transformation, which is found to be a viable method for dealing with pairing correlation in exotic drip-line nuclei [100]. The Relativistic-Hartree-Bogoliubov (RHB) energy density functional comprises RMF functional along with the pairing of the RHB model and the pairing tensor [101]. In the RHB prescription, energy is expressed as:…”

Section: Theoretical Formalismmentioning

confidence: 99%

Isospin dependent properties of the isotopic chain of Scandium and Titanium nuclei within the relativistic mean-field formalism

Yadav,

Kumar,

Bhuyan

2022

Preprint

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Background: The density-dependent nuclear symmetry energy is directly related to the isospin asymmetry for finite and infinite nuclear systems. It is critical to determine the coefficients of symmetry energy and its related observables as it holds great importance in different areas of nuclear physics, such as analyzing the structure of ground state exotic nuclei and neutron star study. Purpose: The ground state bulk properties such as nuclear binding energy (B.E.), quadrupole deformation (β2), two-neutron separation energy (S2n), the differential variation of two-neutron separation energy (dS2n), and root-mean-square charge radius (r ch ) for Scandium (Z = 21), and Titanium (Z = 22) nuclei are calculated. The isospin properties, namely the coefficient of nuclear symmetry energy and its components such as surface and volume symmetry energy for the finite isotopic chain from the corresponding quantities of infinite nuclear matter, are also estimated. Finally, we correlate the neutron-skin thickness with the coefficient of symmetry energy and its related observables corresponding to these isotopic chains of nuclei. Methods: The coherent density fluctuation model (CDFM) is used to estimate the isospindependent properties of finite nuclei such as symmetry energy, surface symmetry energy, and volume symmetry energy from its corresponding component in infinite nuclear matter. The relativistic mean-field (RMF) formalism with non-linear NL3 and Relativistic-Hartree-Bogoliubov with densitydependent DD-ME2 interaction parameters are employed in the present analysis. The weight function |F(x)| 2 is estimated using the total density of each nucleus, which in turn is used along with the nuclear matter quantities to obtain the effective symmetry energy and its components in the finite nuclei. Results: We calculate the ground state bulk properties such as nuclear binding energy, quadrupole deformation, two-neutron separation energy, the differential variation of two-neutron separation energy, and root-mean-square charge radius for the Sc-and Ti-isotopic chains based on non-linear NL3 and density-dependent DD-ME2 parameter sets. Further, the ground state density distributions are used within the CDFM to obtain the effective surface properties such as symmetry energy and its components, namely volume and surface symmetry energy, for both the parameter sets. The calculated quantities are used to understand the isospin dependent structural properties of finite nuclei near and beyond the drip line that will further our horizon of finding newer magicity along the isotopic chains. Conclusions: A shape transition is observed from spherical to prolate near N ≥ 44, and N ≥ 40 for Sc-and Ti-isotopic chain, respectively. Notable signatures of shell and/or sub-shell closures have been found for the magic neutron numbers at N = 20 and 28 for both the isotopic chain using the nuclear bulk and isospin quantities. In addition to these, a few signatures of shell/sub-shell closure are observed near drip-line region, at N = 34 and 50 by following ...

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“…For this, we inculcated the microscopic temperature-dependent binding energies (T.B.E) from relativistic mean field theory (RMFT) replacing the Davidson mass formula based macroscopic T.B.E., as discussed in our previous work [11]. Here, for the first time, we incorporate the microscopic nuclear interaction potential obtained by folding the M3Y nucleon-nucleon interaction with RMFT based cluster densities [12] within the DCM and explore the effect of varying neutron skin thickness of Ar cluster, which is complementary to α-cluster, upon the α-cluster preformation factor. The organization of the paper is as follows.…”

Section: Introductionmentioning

confidence: 99%

Alpha clustering in ^{41, 45, 49}Ca^* nuclei formed in neutron induced reactions

Kaur,

Singh,

Patra

et al. 2023

J. Phys.: Conf. Ser.

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The light neutron-rich nuclei play a vital role in nucleosynthesis process and the extent of alpha (α) clustering significantly influence the astrophysical rates. Thus, it is significant to explore the α clustering in these nuclei and in the present work, we have studied the α clustering in 41,45,49Ca* nuclei formed in neutron induced reactions within the dynamical cluster decay model (DCM). The results present that with progression towards neutron-rich 45Ca* and 49Ca* nuclei, there is a significant decrease in the α-cluster preformation factor P0. The inclusion of relativistic mean field theory (RMFT) based microscopic temperature-dependent binding energies (T.B.E.) within DCM, give relatively enhanced α-cluster preformation factor for 41,45,49Ca* nuclei compared to the case of macroscopic T.B.E. based upon Davidson mass formula. The cross-section associated with α-cluster emission depicts strong isospin dependence and falls off significantly with increasing neutron number of Ca* nuclei. Further, for the first time, we inculcate the microscopic nuclear potential constructed via folding the standard Fermi form fitted RMFT cluster densities and M3Y nucleon-nucleon interaction within the DCM. The neutron skin thickness of the Ar cluster, complementary to α-cluster, is varied and its effect upon the nuclear interaction potential and α-cluster preformation factor is analysed. The results present that with growing neutron skin of Ar cluster, the α-cluster preformation factor decreases. It explores a strong correlation among the neutron skin thickness and α-cluster preformation factor in light mass 41,45,49Ca* nuclear systems.

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Investigation of proton emission using deformed relativistic mean field densities

Cited by 8 publications

References 67 publications

Isospin dependent properties of the isotopic chains of Scandium and Titanium nuclei within the relativistic mean-field formalism *

Isospin dependent properties of the isotopic chains of Scandium and Titanium nuclei within the relativistic mean-field formalism *

Isospin dependent properties of the isotopic chain of Scandium and Titanium nuclei within the relativistic mean-field formalism

Alpha clustering in ^{41, 45, 49}Ca^* nuclei formed in neutron induced reactions

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Investigation of proton emission using deformed relativistic mean field densities

Cited by 8 publications

References 67 publications

Isospin dependent properties of the isotopic chains of Scandium and Titanium nuclei within the relativistic mean-field formalism *

Isospin dependent properties of the isotopic chains of Scandium and Titanium nuclei within the relativistic mean-field formalism *

Isospin dependent properties of the isotopic chain of Scandium and Titanium nuclei within the relativistic mean-field formalism

Alpha clustering in 41, 45, 49Ca* nuclei formed in neutron induced reactions

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Alpha clustering in ^{41, 45, 49}Ca^* nuclei formed in neutron induced reactions