Novel feature of doubly bubble nuclei in 50 ≤ Z(N) ≤ 82 region along with magicity and weakly bound structure

In this work, we identify a unique and novel feature of central density depletion in both proton and neutron named as doubly bubble nuclei in [Formula: see text] region. The major role of 2d-3s single-particle (s.p.) states in the existence of halo and bubble nuclei is probed. The occupancy in s.p. state 3s[Formula: see text] leads to the extended neutron density distribution or halo while the unoccupancy results in the central density depletion. By employing the Relativistic Mean-Field (RMF) approach along with NL3* parameter, the separation energies, s.p. energies, pairing energies, proton and neutron density profiles along with deformations of even–even nuclei are investigated. Our results are concise with few other theories and available experimental data. Emergence on new shell closure and the magicity of conventional shell closures are explored systematically in this yet unknown region.

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Implications of occupancy of 2s1/2 state in sd-shell within RMF+BCS approach

International Journal of Modern Physics E ◽

10.1142/s0218301317500720 ◽

2017 ◽

Vol 26 (11) ◽

pp. 1750072 ◽

Cited By ~ 11

Author(s):

G. Saxena ◽

M. Kumawat ◽

M. Kaushik ◽

U. K. Singh ◽

S. K. Jain ◽

...

Keyword(s):

Mean Field ◽

The Other ◽

Magic Numbers ◽

Neutron Density ◽

Shell Closure ◽

Weakly Bound ◽

Density Profiles ◽

Relativistic Mean Field ◽

Structure Formula ◽

Bubble Structure

We employ the relativistic mean-field plus BCS (RMF+BCS) approach to study the behavior of [Formula: see text]-shell by investigating in detail the single particle energies, and proton and neutron density profiles along with the deformations and radii of even–even nuclei. Emergence of new shell closure, weakly bound structure and most recent phenomenon of bubble structure are reported in the [Formula: see text]-shell. [Formula: see text]C, [Formula: see text]O and [Formula: see text]S are found to have a weakly bound structure due to particle occupancy in 2[Formula: see text] state. On the other hand [Formula: see text]O, [Formula: see text]Ca and [Formula: see text]Si are found with depleted central density due to the unoccupied 2[Formula: see text] state and hence they are the potential candidates of bubble structure. [Formula: see text]C and [Formula: see text]O emerge as doubly magic with [Formula: see text] in accord with the recent experiments and [Formula: see text]S emerges as a new proton magic nucleus with [Formula: see text]. [Formula: see text] and [Formula: see text] are predicted as magic numbers in doubly magic [Formula: see text]O, [Formula: see text]Ca and [Formula: see text]Si, respectively. These results are found in agreement with the recent experiments and have consistent with the other parameters of RMF and other theories.

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EVOLUTION OF SHELL STRUCTURE IN NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301311019581 ◽

2011 ◽

Vol 20 (08) ◽

pp. 1663-1675 ◽

Cited By ~ 4

Author(s):

A. BHAGWAT ◽

Y. K. GAMBHIR

Keyword(s):

Shell Structure ◽

Crucial Role ◽

Field Model ◽

Mean Field ◽

Mass Region ◽

The Other ◽

Mean Field Model ◽

Relativistic Mean Field ◽

Shell Closures ◽

Low Mass

Systematic investigations of the pairing and two-neutron separation energies which play a crucial role in the evolution of shell structure in nuclei, are carried out within the framework of relativistic mean-field model. The shell closures are found to be robust, as expected, up to the lead region. New shell closures appear in low mass region. In the superheavy region, on the other hand, it is found that the shell closures are not as robust, and they depend on the particular combinations of neutron and proton numbers. Effect of deformation on the shell structure is found to be marginal.

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THE INNER CRUST OF NEUTRON STARS IN RELATIVISTIC MEAN FIELD APPROACH

International Journal of Modern Physics E ◽

10.1142/s0218301308010763 ◽

2008 ◽

Vol 17 (09) ◽

pp. 1765-1773 ◽

Cited By ~ 1

Author(s):

JIGUANG CAO ◽

ZHONGYU MA ◽

NGUYEN VAN GIAI

Keyword(s):

Boundary Conditions ◽

Neutron Stars ◽

Mean Field ◽

Bcs Theory ◽

Neutron Density ◽

Field Approach ◽

Hartree Fock ◽

Relativistic Mean Field ◽

Density Distributions ◽

Rmf Model

The microscopic properties and superfluidity of the inner crust in neutron stars are investigated in the framework of the relativistic mean field(RMF) model and BCS theory. The Wigner-Seitz(W-S) cell of inner crust is composed of neutron-rich nuclei immersed in a sea of dilute, homogeneous neutron gas. The pairing properties of nucleons in the W-S cells are treated in BCS theory with Gogny interaction. In this work, we emphasize on the choice of the boundary conditions in the RMF approach and superfluidity of the inner crust. Three kinds of boundary conditions are suggested. The properties of the W-S cells with the three kinds of boundary conditions are investigated. The neutron density distributions in the RMF and Hartree-Fock-Bogoliubov(HFB) models are compared.

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INVESTIGATIONS ON THE NUCLEAR HALO STRUCTURES

International Journal of Modern Physics E ◽

10.1142/s0218301308010738 ◽

2008 ◽

Vol 17 (09) ◽

pp. 1729-1738

Author(s):

YU-JIE LIANG ◽

ZU-HUA LIU ◽

HONG-YU ZHOU

Keyword(s):

Mean Field ◽

Light Nuclei ◽

Halo Nuclei ◽

Asymptotic Normalization ◽

Relativistic Mean Field ◽

Asymptotic Normalization Coefficient ◽

Nuclear Halo ◽

Coulomb Effects ◽

Qualitative Analyses

The halo structures in some light nuclei are investigated systemically with the nuclear asymptotic normalization coefficient (ANC) method and the relativistic mean-field (RMF) theory. Some important results about the halo structures in mirror nuclei are obtained, and some qualitative analyses are made to explore the role of Coulomb effects on the formation of proton halo nuclei.

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ENDPOINT OF rp PROCESS USING RELATIVISTIC MEAN FIELD APPROACH AND A NEW MASS FORMULA

International Journal of Modern Physics E ◽

10.1142/s0218301312500747 ◽

2012 ◽

Vol 21 (08) ◽

pp. 1250074 ◽

Cited By ~ 6

Author(s):

CHIRASHREE LAHIRI ◽

G. GANGOPADHYAY

Keyword(s):

Mass Formula ◽

Optical Potential ◽

Mean Field ◽

Proton Capture ◽

Density Profiles ◽

X Ray ◽

Field Approach ◽

Relativistic Mean Field ◽

Rapid Proton ◽

Rp Process

Densities from relativistic mean field calculations are applied to construct the optical potential and, hence calculate the endpoint of the rapid proton capture (rp) process. Mass values are taken from a new phenomenological mass formula. Endpoints are calculated for different temperature-density profiles of various X-ray bursters. We find that the rp process can produce significant quantities of nuclei upto around mass 95. Our results differ from existing works to some extent.

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THE ROLE OF THE NUCLEAR MATTER COMPRESSION MODULUS IN NEUTRON STARS

International Journal of Modern Physics D ◽

10.1142/s0218271804005754 ◽

2004 ◽

Vol 13 (07) ◽

pp. 1519-1524 ◽

Cited By ~ 2

Author(s):

VERÔNICA A. DEXHEIMER ◽

CÉSAR A. Z. VASCONCELLOS ◽

MOISÉS RAZEIRA ◽

MANFRED DILLIG

Keyword(s):

Neutron Stars ◽

Nuclear Matter ◽

Body Problem ◽

Mean Field Theory ◽

Mean Field ◽

Compression Modulus ◽

Baryon Number ◽

Many Body ◽

Relativistic Mean Field

For the nuclear many body problem at high densities, formulated in the framework of a relativistic mean-field theory, we investigate in detail the compression modulus of nuclear matter as a function of the effective nucleon mass. We include consistently in our modelling chemical equilibrium as well as baryon number and electric charge conservation and investigate properties of neutron stars. Among other predictions we focus on the dependence of the maximum mass of a sequence of neutron stars as a function of the compression modulus and the nucleon effective mass.

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Spurious Shell Closures in the Relativistic Mean Field Model

Chinese Physics Letters ◽

10.1088/0256-307x/23/5/021 ◽

2006 ◽

Vol 23 (5) ◽

pp. 1139-1141 ◽

Cited By ~ 21

Author(s):

Geng Li-Sheng ◽

Meng Jie ◽

Toki Hiroshi ◽

Long Wen-Hui ◽

Shen Gang

Keyword(s):

Field Model ◽

Mean Field ◽

Mean Field Model ◽

Relativistic Mean Field ◽

Shell Closures

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EXOTIC NUCLEAR STRUCTURES WITH ISOSPIN DEPENDENT INTERACTIONS IN RELATIVISTIC MEAN-FIELD MODELS

International Journal of Modern Physics E ◽

10.1142/s0218301306005204 ◽

2006 ◽

Vol 15 (07) ◽

pp. 1487-1494

Author(s):

W. Z. JIANG

Keyword(s):

Mean Field ◽

Exotic Nuclei ◽

Heavy Nuclei ◽

Charge Density Distribution ◽

Tensor Coupling ◽

Relativistic Mean Field ◽

Mean Field Models ◽

Coupling Terms ◽

Nuclear Structures

The properties of light exotic nuclei far off β-stability are studied using relativistic mean field (RMF) models considering the nonlinear isoscalar-isovector coupling terms that modify the density dependence of the symmetry energy. The ρNN tensor coupling is included. The neutron thickness of some light exotic nuclei near neutron drip lines is as uncertain as that of heavy nuclei. The uncertainty of these light exotic nuclei is enhanced by the inclusion of the ρNN tensor coupling subject to the 2s1/2 occupation of the out-layer neutrons. The charge density distribution of exotic nuclei on both sides of drip lines are considerably modified by the isospin dependent interactions. The role of multi-Λ hypernuclei in extending the drip lines are discussed.

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