Decay properties and reaction dynamics of zirconium isotopes in the relativistic mean-field model

2018 ◽  
Vol 27 (02) ◽  
pp. 1850012
Author(s):  
M. Panigrahi ◽  
R. N. Panda ◽  
Bharat Kumar ◽  
S. K. Patra
Keyword(s):  
Cross Sections ◽  
Mean Field Theory ◽  
Energy Charge ◽  
Mean Field ◽  
Drip Line ◽  
Glauber Model ◽  
Mean Field Model ◽  
Relativistic Mean Field ◽  
Decay Properties ◽  
Quadrupole Deformation Parameter

In the framework of relativistic mean-field theory, the ground state properties like binding energy, charge radius and quadrupole deformation parameter for various isotopes of zirconium from the valley of stability to drip-line region have been studied. The results are compared with the experimental data and we found reasonable agreement. The calculations are carried out for [Formula: see text]-decay energy and [Formula: see text]-decay half-life up to the drip-line. Total reaction and elastic differential cross-sections are also studied for few zirconium isotopes as projectiles with [Formula: see text] as target, using different parameter sets namely NL3*, DD-ME2 and DD-PC1 in conjunction with Glauber model.

Nuclear structure and decay properties of Nd isotopes

2018 ◽  
Vol 27 (07) ◽  
pp. 1850059
Author(s):  
M. Ouhachi ◽  
M. R. Oudih ◽  
M. Fellah ◽  
N. H. Allal
Keyword(s):  
Mean Field Theory ◽  
Mean Field ◽  
Drip Line ◽  
Binding Energies ◽  
Neutron Drip Line ◽  
Nd Isotopes ◽  
Decay Modes ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Decay Properties

Using the Hartree–Fock–Bogoliubov mean-field theory, the ground-state structural and decay properties of Nd isotopes are investigated from the proton-rich side up to the neutron drip-line. Quantities such as binding energies per nucleon, one and two-neutron separation energies, rms charge radii, and quadrupole deformation parameters have been calculated. Compared with the relativistic mean-field results, the present calculations are in better agreement with the available experimental data. The results show clearly the signature of a shape transition at [Formula: see text] and an abrupt increase in the deformation near the neutron drip-line. Further, the possible decay modes like alpha, cluster and [Formula: see text]-decay are analyzed in a unified fission model and phenomenological formulas. Overall, a good agreement is achieved between the calculated and experimental [Formula: see text]-values and half-lives wherever available. The most likely decay modes are thus identified throughout the isotopic chain.

scholarly journals THE α-DECAY CHAINS OF THE 287, 288115 ISOTOPES USING RELATIVISTIC MEAN FIELD THEORY

2011 ◽  
Vol 20 (10) ◽  
pp. 2217-2228 ◽  
Author(s):  
B. K. SAHU ◽  
M. BHUYAN ◽  
S. MAHAPATRO ◽  
S. K. PATRA
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Superheavy Element ◽  
Binding Energies ◽  
Experimental Result ◽  
Relativistic Mean Field Theory ◽  
Α Decay ◽  
Relativistic Mean Field ◽  
Quadrupole Deformation Parameter

We study the binding energy, root-mean-square radius and quadrupole deformation parameter for the synthesized superheavy element Z = 115, within the formalism of relativistic mean field theory. The calculation is dones for various isotopes of Z = 115 element, starting from A = 272 to A = 292. A systematic comparison between the binding energies and experimental data is made.The calculated binding energies are in good agreement with experimental result. The results show the prolate deformation for the ground state of these nuclei. The most stable isotope is found to be 282115 nucleus (N = 167) in the isotopic chain. We have also studied Qα and Tα for the α-decay chains of 287, 288115.

scholarly journals DEFORMATION AND WEAK DECAY OF Λ HYPERNUCLEI

2010 ◽  
Vol 19 (12) ◽  
pp. 2552-2557 ◽  
Author(s):  
K. Hagino ◽  
Myaing Thi Win ◽  
Y. Nakagawa
Keyword(s):  
Mean Field Theory ◽  
Mean Field ◽  
Weak Decay ◽  
Core Nucleus ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Decay Properties ◽  
Proton Interaction ◽  
Similar Deformation ◽  
Isotope Chain

We use the self-consistent mean-field theory to discuss the ground state and decay properties of Λ hypernuclei. We first discuss the deformation of Λ hypernuclei using the relativistic mean-field (RMF) approach. We show that, although most of the hypernuclei have a similar deformation parameter to the core nucleus, the shape of 28 Si is drastically altered, from oblately deformed to spherical, if a Λ particle is added to this nucleus. We then discuss the pionic weak decay of neutron-rich Λ hypernuclei using the Skyrme Hartree-Fock + BCS method. We show that, for a given isotope chain, the decay rate increases as a function of mass number, due to the strong neutron-proton interaction.

Radius studies of 8 Li and 8 B using the optical-limit Glauber model in conjunction with relativistic mean-field theory

2010 ◽  
Vol 34 (10) ◽  
pp. 1622-1627 ◽  
Author(s):  
Fan Guang-Wei ◽  
Xu Wang ◽  
M Fukuda ◽  
Pan Qiang-Yan ◽  
Cai Xiao-Lu ◽  
...  
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Glauber Model ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field ◽  
Optical Limit

scholarly journals STRUCTURE EFFECT ON ONE-NEUTRON REMOVAL REACTION USING RELATIVISTIC MEAN FIELD DENSITIES IN GLAUBER MODEL

2011 ◽  
Vol 20 (12) ◽  
pp. 2505-2519 ◽  
Author(s):  
R. N. PANDA ◽  
S. K. PATRA
Keyword(s):  
Experimental Data ◽  
Cross Sections ◽  
Mean Field ◽  
Reaction Cross ◽  
Glauber Model ◽  
Halo Nuclei ◽  
Relativistic Mean Field ◽  
The Difference ◽  
The One ◽  
Good Agreement

We calculate the one-neutron removal reaction cross-section (σ-1n) for a few stable and neutron-rich Boron and Carbon halo nuclei with 12 C as target, using relativistic mean field (RMF) densities, in the frame work of Glauber model. The results are compared with the experimental data. Study of the stable nuclei with the deformed densities have shown a good agreement with the data. However, it differs significantly for the halo nuclei. We observe that while estimating the σ-1n value from the difference of reaction cross-sections of two neighboring nuclei with mass number A and that of A-1 in an isotopic chain, we get good agreement with the known experimental data for the halo cases.

ASYMPTOTIC NORMALIZATION COEFFICIENTS FOR 7Be(p, γ)8B FROM RMF CALCULATION

2009 ◽  
Vol 24 (18) ◽  
pp. 1453-1460 ◽  
Author(s):  
CHENGBIN WANG ◽  
TIEKUANG DONG ◽  
Z. Y. ZHU ◽  
ZHONGZHOU REN
Keyword(s):  
Cross Sections ◽  
Single Particle ◽  
Mean Field ◽  
Drip Line ◽  
Mean Square ◽  
Asymptotic Normalization ◽  
Halo Structure ◽  
Relativistic Mean Field ◽  
Asymptotic Normalization Coefficient ◽  
Structure Properties

The asymptotic normalization coefficient (ANC) method is used to determine the cross sections of peripheral reactions at astrophysical energies because of existence of the Coulomb barriers. In this paper, we address an estimation of the ANC of 8 B with its single particle wavefunction obtained within the framework of relativistic mean field (RMF) theory. We test the force parameters used in the RMF theory by comparing the calculated structure properties of A = 7–9 drip-line nuclei with experimental results. Utilizing the corrected bound wavefunction of 8 B , the ANC [Formula: see text] is obtained and that indicates the S17(0) is 18.07 eV b. Additionally, we find that the root-mean-square (rms) radius for the loosely bound proton in 8 B is 3.98 fm. This confirms that 8 B has a proton halo structure.

scholarly journals Structural and decay properties of nuclei appearing in the α-decay chains of 296,298,300,302,304120 within the relativistic mean field formalism

2021 ◽  
pp. 2150169
Author(s):  
N. Biswal ◽  
Nishu Jain ◽  
Raj Kumar ◽  
A. S. Pradeep ◽  
S. Mishra ◽  
...  
Keyword(s):  
Half Life ◽  
Mean Field ◽  
Magic Number ◽  
Decay Chain ◽  
Extensive Study ◽  
Relativistic Mean Field ◽  
Decay Properties ◽  
Theoretical Predictions ◽  
Quadrupole Deformation Parameter ◽  
Field Formalism

An extensive study of [Formula: see text]-decay half-lives for various decay chains of isotopes of [Formula: see text] is performed within the axially deformed relativistic mean-field (RMF) formalism by employing the NL3, NL3[Formula: see text], 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 [Formula: see text], which are produced in five different [Formula: see text]-decay chains, namely, [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text]. 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 [Formula: see text]-decay energies are calculated for each decay chain. To determine the relative numerical dependency of the half-life for a specific [Formula: see text]-decay 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 [Formula: see text]-decay chain. We notice a firm dependency of the half-life on the [Formula: see text]-decay formula in terms of [Formula: see text]-values for all decay chains. Further, this study also strengthens the prediction for the island of stability in terms of magic number at the superheavy valley in the laboratories.

DECREASE OF THE SPIN-ORBIT INTERACTION IN DRIP-LINE NUCLEI, USING RELATIVISTIC MEAN FIELD MODELS

2006 ◽  
Vol 15 (05) ◽  
pp. 1149-1155 ◽  
Author(s):  
M. S. MEHTA ◽  
B. K. SHARMA ◽  
S. K. PATRA ◽  
RAJ K. GUPTA ◽  
W. GREINER
Keyword(s):  
Field Model ◽  
Mean Field ◽  
Neutron Number ◽  
Effective Field ◽  
Drip Line ◽  
Energy Splitting ◽  
Spin Orbit ◽  
Mean Field Model ◽  
Relativistic Mean Field ◽  
Orbit Potential

The spin-orbit potential and the energy splitting of spin-orbit partners in nuclei towards the neutron drip-line are found to show the decreasing behavior with the increase of neutron number, in both the spherical and deformed versions of the standard relativistic mean field model, the SRMF and DRMF, and its extended version for spherical case, the effective field theory motivated relativistic mean field model, the E-RMF. The calculations are presented for nuclei in different mass regions, which include the isotopes of F , Mg , Sb , Pb and Bi nuclei.

scholarly journals Superdeformed structures and low Ω parity doublet in Ne-S nuclei near neutron drip-line

Open Physics ◽  
2014 ◽  
Vol 12 (1) ◽  
Author(s):  
Shailesh Singh ◽  
Choudhury Praharaj ◽  
Suresh Patra
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Drip Line ◽  
Parity Doublet ◽  
Neutron Drip Line ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Line Region ◽  
Frame Work

AbstractThe structures of Ne, Na, Mg, Al, Si, P and S nuclei near the neutron drip-line region are investigated in the frame-work of relativistic mean field theory and non-relativistic Skyrme Hartree-Fock formalism. The recently discovered nuclei 40Mg and 42Al, which are beyond the drip-line predicted by various mass formulae are located within these models. We find many largely deformed neutron-rich nuclei, whose structures are analyzed. From the structure anatomy, we find that at large deformation low orbits of opposite parities (e.g. $$\frac{1} {2}^ +$$ and $$\frac{1} {2}^ -$$) occur close to each other in energy.

Sign in / Sign up

Export Citation Format

Share Document