Systematic dependence of Grodzins product rule on NpNn

2015 ◽  
Vol 24 (05) ◽  
pp. 1550033 ◽  
Author(s):  
Parveen Kumari ◽  
H. M. Mittal
Keyword(s):  
Nuclear Structure ◽  
Product Rule ◽  
Deformed Nuclei ◽  
Major Shell ◽  
First Time ◽  
Valence Proton

The systematics of the Grodzins product rule (GPR) is studied from the perspective of the valence-proton and neutron product NpNn in the major shell space Z = 50–82, N = 82–126. The variation of nuclear structure from vibrator to deformed rotor is discussed. The Grodzins product shows more dependence on NpNn in the N ≤ 104 region, as it is a region of deformed nuclei. We present here for the first time the dependence of GPR on the NpNn product.

scholarly journals Low lying oscillations of deformed nuclei

2018 ◽  
Vol 178 ◽  
pp. 02009
Author(s):  
Ani Aprahamian ◽  
Shelly R. Lesher
Keyword(s):  
Nuclear Structure ◽  
Vibrational Excitation ◽  
Deformed Nuclei ◽  
Vibrational Excitations

Low-lying oscillations of the intrinsic deformed shape of a nucleus remain an open challenge in nuclear structure. The question or challenge revolves around the viability of single or multiple quanta of vibrational excitations superimposed on the equilibrium, deformed shape of a nucleus. The K=2 or “γ” vibrations are fairly widespread and nominally conform to expectations whereas the existence of the K=0 or “β” vibrational excitation is yet to be distinguished from other possible origins including the coexistence of other potential minima.

New perspective of Grodzins E × B(E2) ↑ product rule

2018 ◽  
Vol 27 (04) ◽  
pp. 1850033 ◽  
Author(s):  
J. B. Gupta ◽  
Vikas Katoch
Keyword(s):  
Nuclear Structure ◽  
Transition Probability ◽  
Neutron Number ◽  
Level Energy ◽  
Product Rule ◽  
Atomic Nuclei ◽  
Number Formula ◽  
Energy Formula ◽  
New Perspective ◽  
The Moment

In the collective spectra of atomic nuclei, the level energy [Formula: see text] varies with atomic number [Formula: see text] and neutron number [Formula: see text]. Also the [Formula: see text]2 decay-reduced transition probability [Formula: see text] is related to the energy [Formula: see text]. The product [Formula: see text] is constant according to Grodzins product rule, independent of the vibration or rotational status of the nucleus. The product rule is often used for determining [Formula: see text] from the known [Formula: see text]. However, the variation of the product with various parameters is also suggested in the literature. Hence, a detailed global study of this rule for [Formula: see text] region is warranted. We use a novel method of displaying the linear relation of [Formula: see text] with [Formula: see text] for the isotopes of each element (Xe–Pt), instead of their variation with [Formula: see text] or [Formula: see text]. Through our work, we firmly establish the global validity of the Grodzins relation of [Formula: see text], being proportional to the moment of inertia, except for the deviation in specific cases. Our [Formula: see text] versus [Formula: see text] plots provide a transparent view of the variation of the low-energy nuclear structure. This gives a new perspective of their nuclear structure. Also the various theoretical interpretations of [Formula: see text]s and the energy [Formula: see text] are reviewed.

Photoreactions as a probe for nuclear structure in deformed nuclei

1976 ◽  
Vol 35 (1) ◽  
pp. 115-124 ◽  
Author(s):  
P. Christillin ◽  
M. Rosa-Clot
Keyword(s):  
Nuclear Structure ◽  
Deformed Nuclei

scholarly journals Predictions on the alpha decay chains of superheavy nuclei with Z = 121 within the range 290 ≤ A ≤ 339

2016 ◽  
Vol 25 (10) ◽  
pp. 1650079 ◽  
Author(s):  
K. P. Santhosh ◽  
C. Nithya
Keyword(s):  
Spontaneous Fission ◽  
Potential Model ◽  
Analytical Formula ◽  
Superheavy Element ◽  
Alpha Decay ◽  
Mass Range ◽  
Universal Curve ◽  
Proximity Potential ◽  
Deformed Nuclei ◽  
First Time

A systematic study on the alpha decay half-lives of various isotopes of superheavy element (SHE) [Formula: see text] within the range [Formula: see text] is presented for the first time using Coulomb and proximity potential model for deformed nuclei (CPPMDN). The calculated [Formula: see text] decay half-lives of the isotopes within our formalism match well with the values computed using Viola–Seaborg systematic, Universal curve of Poenaru et al., and the analytical formula of Royer. In our study by comparing the [Formula: see text] decay half-lives with the spontaneous fission half-lives, we have predicted [Formula: see text] chain from [Formula: see text]121, [Formula: see text] chain from [Formula: see text]121 and [Formula: see text] chain from [Formula: see text]121. Clearly our study shows that the isotopes of SHE [Formula: see text] within the mass range [Formula: see text] will survive fission and can be synthesized and detected in the laboratory via alpha decay. We hope that our predictions will provide a new guide to future experiments.

Pion single-charge-exchange scattering and nuclear structure in deformed nuclei

1989 ◽  
Vol 196 (1) ◽  
pp. 89-134 ◽  
Author(s):  
Johann Bartel ◽  
Mikkel B Johnson ◽  
M.K Singham
Keyword(s):  
Nuclear Structure ◽  
Charge Exchange ◽  
Single Charge ◽  
Deformed Nuclei ◽  
Exchange Scattering

scholarly journals NUCLEAR STRUCTURE CALCULATONS FOR DEFORMED NUCLEI

1964 ◽  
Author(s):  
K. Dietrich ◽  
H.-J. Mang ◽  
J. Pradal
Keyword(s):  
Nuclear Structure ◽  
Deformed Nuclei

SIMPLE TOOL TO SEARCH QUASI-MAGIC STRUCTURES IN DEFORMED NUCLEI

2009 ◽  
Vol 18 (04) ◽  
pp. 1099-1103 ◽  
Author(s):  
BOŻENA NERLO-POMORSKA ◽  
KRZYSZTOF POMORSKI
Keyword(s):  
Energy Density ◽  
Nuclear Structure ◽  
Single Particle ◽  
Particle Number ◽  
Energy Difference ◽  
Energy Space ◽  
Deformation Space ◽  
Deformed Nuclei ◽  
Shell Effects ◽  
Simple Tool

Evaluation of shell effects in nuclei plays an important role in studying the nuclear structure. In the Strutinsky method the smooth energy of the nucleus is obtained by a folding procedure of the single-particle (s.p.) energy density in the s.p. energy space e. An alternative way of energy smoothing is obtained by folding the s.p. energy sum in the particle-number space [Formula: see text]. For non degenerated s.p. spectra both types of folding yield smooth energies which are close to each other. In the case of strongly degenerated spectra which appear at sphericity or in regions of shape isomers, the smooth energy obtained by the [Formula: see text]-folding is a couple of MeV larger than the traditional average Strutinsky energy. It is shown that this smooth energy difference can serve as a simple tool to search for magic or quasi-magic structures in the s.p. spectra, e.g. to find shape isomers in the multidimensional deformation space.

Effect of nuclear structure on the single particle β− transitions in deformed nuclei

1995 ◽  
Vol 45 (6) ◽  
pp. 477-489 ◽  
Author(s):  
J. Řízek ◽  
M. Ryšavý ◽  
V. Brabec
Keyword(s):  
Nuclear Structure ◽  
Single Particle ◽  
Deformed Nuclei

MULTI-MAJOR-SHELL SHELL MODEL FOR HEAVY NUCLEI–AN EXTENDED PROJECTED SHELL MODEL

2008 ◽  
Vol 17 (supp01) ◽  
pp. 159-176 ◽  
Author(s):  
YANG SUN ◽  
CHENG-LI WU
Keyword(s):  
Shell Model ◽  
Rotational Motion ◽  
Original Version ◽  
Heavy Nuclei ◽  
Vibrational States ◽  
Projected Shell Model ◽  
Deformed Nuclei ◽  
Major Shell ◽  
Truncation Scheme ◽  
Collective Vibrations

The projected shell model (PSM) in its original version is an efficient shell model truncation scheme for well deformed nuclei. However, the model is applicable only to rotational motion, but not collective vibrations. In this paper, we discuss a scheme that extends the PSM applicability to low-lying rotational and vibrational states possibly in all kinds of heavy nuclei (from deformed via transitional to spherical), thus rendering it to be a more general multi-major-shell shell model for heavy nuclei. Three known types of vibration (β, γ, and scissors-mode) are discussed.

SYSTEMATIC STUDY OF NUCLEAR SOFTNESS OF SUPERDEFORMED BANDS IN A = 190 MASS REGION

2013 ◽  
Vol 22 (08) ◽  
pp. 1350053 ◽  
Author(s):  
NEHA SHARMA ◽  
H. M. MITTAL
Keyword(s):  
Systematic Study ◽  
Gamma Ray ◽  
Neutron Number ◽  
Mass Region ◽  
Energy Ratio ◽  
Softness Parameter ◽  
Superdeformed Bands ◽  
Parameter Values ◽  
First Time ◽  
Valence Proton

A four parameter formula has been applied to obtain the nuclear softness parameter (σ) for all the superdeformed (SD) bands observed in A = 190 mass region. The nuclear softness parameter values of most of the SD bands are found to be smaller than those of the normal deformed bands, implying more rigidity. The results of this work includes the variation of nuclear softness parameter against the gamma ray energy ratio R(I) = Eγ(I→(I-2))/Eγ((I-2)→(I-4)) of SD bands in A = 190 mass region. The variation of R(I) and the nuclear softness parameter of these SD bands are studied with the product of valence proton and neutron numbers (NpNn). The systematics also includes the variation of σ with the neutron number N. It is also found that the value of softness parameter of signature partner SD bands observed in A = 190 mass region is also the same. We present for the first time the study of softness parameter of SD bands with NpNn scheme.

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