The octupole deformation of 143Ba

2015 ◽  
Vol 24 (11) ◽  
pp. 1550081 ◽  
Author(s):  
Yong-Jing Chen ◽  
Yong-Shou Chen ◽  
Zao-Chun Gao ◽  
Ya Tu
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Ground State ◽  
Wave Functions ◽  
Rotational Bands ◽  
Octupole Deformation ◽  
Quantum Numbers

Based on existence of the octupole deformation in the intrinsic states, the experimentally observed four rotational bands in [Formula: see text]Ba have been well reproduced by the reflection asymmetric shell model (RASM) calculations. Through the analysis of the calculated RASM wave functions, the intrinsic configuration of the observed rotational bands has been assigned as the octupole deformed neutron [Formula: see text] orbit, which is just located below the [Formula: see text] shell gap. The calculated results supported the ground state octupole deformation and the purity of the simplex quantum numbers [Formula: see text] in [Formula: see text]Ba. In addition, the calculated [Formula: see text] values are in agreement with experimental data, and further support the octupole deformation in [Formula: see text]Ba.

Schalenmodellrechnungen beim Kern O18 mit geschwindigkeitsabhängigen Zwei-Teilchen-Potentialen

1967 ◽  
Vol 22 (4) ◽  
pp. 415-421
Author(s):  
Hans Grote
Keyword(s):  
Experimental Data ◽  
Harmonic Oscillator ◽  
Shell Model ◽  
Interaction Potential ◽  
Ground State ◽  
Wave Functions ◽  
Absolute Position ◽  
Model Calculations ◽  
The Core ◽  
Free Parameters

The energies of the low lying levels and the absolute position of the ground state of the nucleus O18 are calculated using five velocity-dependent potentials. The calculation is based on the shell model with two outer neutrons in the potential of the Ο16 core. The interaction potential as well as the core potential are fitted to experimental data, leaving no free parameters in the final result.The wave functions of the harmonic oscillator are used in each case of the five velocity-dependent potentials. An additional computation is carried out using one of these potentials and taking into account the perturbation of the wave functions. It turns out that, for satisfactory application of the velocity-dependent potentials in shell model calculations, this perturbation should be considered.

Determination of hyperon properties through the variational method considering the hyperfine interaction

2019 ◽  
Vol 28 (10) ◽  
pp. 1950087 ◽  
Author(s):  
S. M. Moosavi Nejad ◽  
A. Armat
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Ground State ◽  
Radiative Decay ◽  
Magnetic Moments ◽  
Wave Functions ◽  
Decay Widths ◽  
Free Parameters ◽  
Theoretical Results

Performing a fit procedure on the hyperon masses, we first determine the free parameters in the Cornell-like hypercentral potential between the constituent quarks of hyperons in their ground state. To this end, using the variational principle, we apply the hyperspherical Hamiltonian including the Cornell-like hypercentral potential and the perturbation potentials due to the spin–spin, spin–isospin and isospin–isospin interactions between constituent quarks. In the following, we compute the hyperon magnetic moments as well as radiative decay widths of spin-3/2 hyperons using the spin-flavor wave function of hyperons. Our analysis shows acceptable consistencies between theoretical results and available experimental data. This leads to reliable wave functions for hyperons at their ground state.

Internal Rotation Spectrum in the Ground State of cis Propionyl Fluoride

1981 ◽  
Vol 36 (12) ◽  
pp. 1327-1333
Author(s):  
F. Scappini ◽  
H. Dreizler
Keyword(s):  
Internal Rotation ◽  
Ground State ◽  
Wave Functions ◽  
Rigid Rotor ◽  
Quantum Numbers ◽  
High K ◽  
Forbidden Transitions ◽  
Low K ◽  
Rotation Spectrum

AbstractThe microwave ground state spectrum of cis propionyl fluoride has been investigated expanding, with respect to a previous study, the range of the quantum numbers of the transitions, J up to 40 and K up to 18. At low K the spectrum resembles that of an asymmetric rigid rotor, except in a number of cases where the lines are split into A, E doublets. At intermediate and high K the mixing of the if-doublet rigid rotor wave functions makes forbidden transitions appear. The results of the analysis of the methyl top internal rotation ground state splittings are: V3 = 2350 ± 11 cal/mole, ≮ (i, a) = 32.7° ±2.0°, and Iα = 3.18 ± 0.03 uÅ2.

scholarly journals An analytical formula for proton momentum distribution in nuclei with A>4

2019 ◽  
Vol 10 ◽  
pp. 248
Author(s):  
G. S. Anagnostatos ◽  
A. N. Antonov ◽  
J. Giapitzakis ◽  
P. Ginis ◽  
S. E. Massen ◽  
...  
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Momentum Distribution ◽  
Analytical Formula ◽  
Nucleon Nucleon ◽  
Exotic Nuclei ◽  
Wave Functions ◽  
Proton Momentum ◽  
Correlation Effects ◽  
Hartree Fock

A successful analytical formula for the proton momentum distribution in all nuclei with A>4 accounting for nucleon-nucleon correlation effects, is presented. In this formula the Isomorphic Shell Model wave functions are employed, which are readily available for all nuclei all the way up to 2 0 8Pb. However, other wave functions (e.g., shell model or Hartree-Fock) could be used with almost equivalent results. Available experimental data for 4He, 1 2C and 5 6Fe and predictions of other theories, e.g., for 4 0Ca, are used for comparison of the predictions of the present formula. A reservation is kept concerning the validity of this formula for the momentum distribution of exotic nuclei.

scholarly journals Application of single particle model to determine the spin and parity of levels of 59Fe nucleus

2015 ◽  
Vol 18 (1) ◽  
pp. 92-101
Author(s):  
Son An Nguyen ◽  
Lanh Dang
Keyword(s):  
Experimental Data ◽  
Excited State ◽  
Shell Model ◽  
Single Particle ◽  
Ground State ◽  
Particle Model ◽  
Nuclear Shell Model ◽  
Average Mass ◽  
Single Particle Model ◽  
Nuclear Shell

The spin and parity of the excited state and the ground state of nuclei are two of important properties of the nuclei quantum. However, up to now we do not have appropriate equipments to directly detetmine the spin and parity of nuclei. This paper shows the application of nuclear shell model to study the spin and parity of intermediate levels and ground state of 59Fe nucleus. Comparing to previously experimental data, this nucleus singleparticle model is suitable of the average mass and odd A nuclei.

scholarly journals ENERGY AND STRUCTURE STATES OF LOW-LYING BANDS IN 156Gd

2021 ◽  
Vol 22 (1) ◽  
pp. 167-174
Author(s):  
P.N. Usmanov ◽  
E.K. Yusupov
Keyword(s):  
Experimental Data ◽  
Phenomenological Model ◽  
Wave Functions ◽  
Experimental Results ◽  
Rotational Bands ◽  
Calculated Energy ◽  
Inertial Parameters ◽  
Good Agreement

The experimental results of the literary and electronic nuclear database for 156Gd were summarized and analyzed. Inertial parameters of rotating core were determined using the Harris method. The theoretical values of energy and wave functions were calculated within the framework of a phenomenological model that takes into account Coriolis mixing of state rotational bands. The calculated energy values were compared with existing experimental data, which were in good agreement. ABSTRAK: Hasil dapatan kajian melalui eksperimen pangkalan data nuklear dan elektronik bagi 156Gd diringkaskan dan dianalisis. Parameter inersia putaran berputar ditentukan menggunakan kaedah Harris. Nilai teori fungsi tenaga dan gelombang dikira dalam kerangka model fenomenologi yang mengambil kira campuran Coriolis pada band putaran keadaan. Nilai pengiraan tenaga dibandingkan dengan data eksperimen memberikan persetujuan yang baik.

Charge-Exchange Scattering of Pions on 14N

1971 ◽  
Vol 49 (13) ◽  
pp. 1826-1827 ◽  
Author(s):  
Arlene P. Maclin ◽  
J. M. Eisenberg
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Charge Exchange ◽  
Cross Sections ◽  
Theoretical Calculations ◽  
Impulse Approximation ◽  
Wave Functions ◽  
Exchange Scattering ◽  
Low Amplitude ◽  
Model Formalism

Cross sections for the reaction 14N(π+,π0)14O are calculated near the (3, 3) resonance using the impulse approximation together with the Chew–Low amplitude in the framework of a two-hole shell model formalism. Various sets of wave functions are used and comparisons are made with existing experimental data and other theoretical calculations.

OCTUPOLE DEFORMATION IN 221Fr; E1 TRANSITION RATES

1990 ◽  
Vol 05 (16) ◽  
pp. 1243-1250 ◽  
Author(s):  
C.F. LIANG ◽  
A. PÉGHAIRE ◽  
R.K. SHELINE
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Mass Number ◽  
Transition Probabilities ◽  
Alpha Decay ◽  
Transition Rates ◽  
Octupole Deformation

Experimental data following the alpha decay of 225 Ac are interpreted in terms of a spectroscopy in 221 Fr consistent with octupole deformation. However, the measured E1 transition probabilities suggest that the low lying bands in 221 Fr are considerably more mixed than in nuclei with slightly higher mass number. It is suggested that this mixing of states in 221 Fr is indicative of the partial collapse of Nilsson-like orbitals into more degenerate shell model orbitals.

scholarly journals Form Factors for Rotational Levels in 12C, 16O, 28Si and 40 Ca

1975 ◽  
Vol 30 (8) ◽  
pp. 1018-1022 ◽  
Author(s):  
K. J. Lezuo
Keyword(s):  
Experimental Data ◽  
Simple Model ◽  
Excellent Agreement ◽  
Ground State ◽  
Transition Probabilities ◽  
Form Factors ◽  
Rotational Bands ◽  
Rotator Model ◽  
Two Parameters ◽  
Surface Thickness

Abstract We support the proposed ground state rotational bands in 12 C, 16 O, 28 Si and 40 Ca by calculating the form factors for the electro-excitation within a simple model. The model introduces two parameters for the size and the surface thickness of these nuclei and allows for the prediction of the transition probabilities and form factors within the rotator model. The model unambiguously predicts the sequence of rotational levels 0+, 3+ , 4+ ... for 16 O and 40 Ca, and 0 + , 2 + , 4 + ... for 12 C and 28 Si in agreement with the experiment. The comparison of the calculated form factors with the experimental data shows excellent agreement in the cases 28 Si and 40 Ca and is less satisfactory in the cases 12 C and 16 O.

ALPHA CLUSTERING AND MONOPOLE STRENGTHS IN LIGHT NUCLEI

2009 ◽  
Vol 24 (11) ◽  
pp. 2043-2052
Author(s):  
T. YAMADA ◽  
Y. FUNAKI ◽  
H. HORIUCHI ◽  
K. IKEDA ◽  
A. TOHSAKI
Keyword(s):  
Shell Model ◽  
Ground State ◽  
Cluster State ◽  
Wave Functions ◽  
Degree Of Freedom ◽  
Light Nuclei ◽  
Cluster States ◽  
Particle Strength ◽  
Ground State Correlation ◽  
Alpha Clustering

Strengths of monopole excitation to cluster states are discussed in light nuclei. They are in general so strong to be comparable to the single particle strength and shares an appreciable portion of the sum rule value, in spite of large difference of the structure between the cluster state and the shell-model-like ground state. We point out that the essential reasons of the large strengths are twofold: One is the fact that the clustering degree of freedom is possessed even in simple shell model wave functions (this fact is indicated by Bayman-Bohr theorem), and the other is due to the ground-state correlation induced by the activation of the cluster degree of freedom originally involved in the ground state. They are demonstrated in the case of 16 O as a typical light nucleus. The present results imply that the measurement of strong monopole transitions or excitations is generally very useful for the study of cluster states.

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