Finite-nuclei calculations based on relativistic mean-field effective interactions

Gmuca, Stefan

doi:10.1016/0375-9474(92)90032-f

Cited by 72 publications

(43 citation statements)

References 18 publications

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“…The relativistic mean field approach is well known and the theory is well documented [23][24][25][26][27][28]. Here we start with the relativistic Lagrangian density for a nucleon-meson manybody system [23,24,[26][27][28]:…”

Section: Theoretical Frameworkmentioning

confidence: 99%

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Relativistic mean field study of clustering in light nuclei

et al. 2005

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The clustering phenomenon in light, stable and exotic nuclei is studied within the relativistic mean field (RMF) approach. Numerical calculations are done by using the axially deformed harmonic oscillator basis. The calculated nucleon density distributions and deformation parameters are analyzed to look for the cluster configurations. The calculations explain many of the well-established cluster structures in both the ground and intrinsic excited states. Comparisons of our results with other model calculations and the available experimental information suggest that the RMF theory is well suited for studying clustering in light nuclei. A few discrepancies and their possible sources are also discussed.

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Section: Theoretical Frameworkmentioning

confidence: 99%

“…Here we start with the relativistic Lagrangian density for a nucleon-meson manybody system [23,24,[26][27][28]:…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Relativistic mean field study of clustering in light nuclei

et al. 2005

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“…The excessively large value of the asymmetry coefficient J ∼ 43 6 MeV brings into question the accuracy of the prediction of neutron radius near the drip-line. As a result, the discovery of the NL3 parameter set [29] complements the limitations of the NL1 force and evaluates the ground state properties of finite nuclei in excellent agreement with experiment [28][29][30][31][32][33][34][35][36][37][38]. It reproduces the proton or charge radius precisely along with the ground state binding energy.…”

Section: Introductionmentioning

confidence: 61%

“…We have also included the self-coupling of the vector ω−meson V 4 and the cross-coupling of the ω− and ρ−mesons ΛR 2 V 2 in the Lagrangian. The terms V 4 and ΛR 2 V 2 are very important in the equations of state [35][36][37][38] and symmetry energy [41] for nuclear systems. The relativistic mean field Hamiltonian for a nucleon-meson interacting system is written as [23][24][25]45]:…”

Section: The Formalismmentioning

confidence: 99%

Isoscalar giant monopole resonance for drip-line and super heavy nuclei in the framework of relativistic mean field formalism with scaling calculation

Biswal

Patra

2014

Open Physics

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Abstract:We study the isoscalar giant monopole resonance for drip-lines and super heavy nuclei in the framework of relativistic mean field theory with a scaling approach. The well known extended Thomas-Fermi approximation in the nonlinear σ -ω model is used to estimate the giant monopole excitation energy for some selected light spherical nuclei starting from the region of proton to neutron drip-lines. The application is extended to the super heavy region for Z=114 and 120, which are predicted by several models as the next proton magic numbers beyond Z=82. We compared the excitation energy obtained by four successful force parameters NL1, NL3, NL3 * , and FSUGold. The monopole energy decreases toward the proton and neutron drip-lines in an isotopic chain for lighter mass nuclei, in contrast to a monotonic decrease for super heavy isotopes. The maximum and minimum monopole excitation energies are obtained for nuclei with minimum and maximum isospin in an isotopic chain, respectively.

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“…Again the interaction between a pair of nucleons when they are embedded in a heavy nucleus is less than the force in empty space. This suppression of the two-body interactions within a nucleus in favour of the interaction of each nucleon with the average nucleon density, means that the non-linearity acts as a smoothing mechanism and hence leads in the direction of the one-body potential and shell structure 17,18,19,20 . The replacement of mass term 1 2 m 2 σ σ 2 of σ field by U (σ) and 1 2 m 2 ω V µ V µ of ω field by U (ω).…”

Section: Non-linear Casementioning

confidence: 99%

The Effects of Self Interacting Isoscalar-Vector Meson on Finite Nuclei and Infinite Nuclear Matter

et al. 2015

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A detailed study is made for the nucleon-nucleon interaction based on relativistic mean field theory in which the potential is explicitly expressed in terms of mass and the coupling constant of the meson fields. A unified treatment for self-coupling of isoscalar-scalar σ−, isoscalar-vector ω-mesons and their coupling constant are given with a complete analytic form. The present investigation is focused on the effect of self-interacting higher order σ and ω field on nuclear properties. An attempt is made to explain the collapsing stage of nucleon by higher order ω-field. Both infinite nuclear matter and the finite nuclear properties are included in the present study to observe the behaviour or sensitivity of this self interacting terms.

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Finite-nuclei calculations based on relativistic mean-field effective interactions

Cited by 72 publications

References 18 publications

Relativistic mean field study of clustering in light nuclei

Relativistic mean field study of clustering in light nuclei

Isoscalar giant monopole resonance for drip-line and super heavy nuclei in the framework of relativistic mean field formalism with scaling calculation

The Effects of Self Interacting Isoscalar-Vector Meson on Finite Nuclei and Infinite Nuclear Matter

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