PARTICLE-NUMBER CONSERVING TREATMENT FOR THE GROUND STATE BANDS IN EVEN-EVEN TRANSFERMIUM NUCLEI

2008 ◽  
Vol 17 (supp01) ◽  
pp. 208-218 ◽  
Author(s):  
XIAO-TAO HE ◽  
ZHONG-ZHOU REN
Keyword(s):  
Angular Momentum ◽  
Shell Model ◽  
Single Particle ◽  
Ground State ◽  
Particle Number ◽  
Rotational Frequency ◽  
Moment Of Inertia ◽  
Particle Level ◽  
Pairing Correlations ◽  
Band Crossing

The ground state bands observed in even-even transfermium nuclei 250 Fm and 252,254 No are investigated by the cranked shell model with the particle-number conserving treatment for the monopole and quadrupole pairing correlations. The experimental variations of the kinematic moment of inertia with rotational frequency are reproduced very well in our calculation. Our results show bankbendings of [Formula: see text] at ħω ≈ 0.275 and 0.300 MeV in 252 No and 254 No , respectively. The detailed information about the contribution to alignment from each cranked single particle level exhibits that the backbending is mainly due to the rapidly aligned angular momentum of proton 1j15/2 [770]1/2 pairs and neutron 2h11/2 [761]3/2, 1j15/2 [734]9/2 pairs the band crossing.

scholarly journals PARTICLE NUMBER CONSERVING APPROACH TO CORRELATIONS

2007 ◽  
Vol 16 (02) ◽  
pp. 289-297 ◽  
Author(s):  
K. SIEJA ◽  
T. L. HA ◽  
P. QUENTIN ◽  
A. BARAN
Keyword(s):  
Approximation Method ◽  
Ground State ◽  
Particle Number ◽  
The Self ◽  
Pairing Correlations

In the present work the so-called Higher Tamm-Dancoff Approximation method is presented for the generalized case of isovector and isoscalar residual interactions treated simultaneously. The role of different particle-hole excitations and of proton-neutron pairing correlations in the ground state of the self-conjugate 64 Ge nucleus is discussed.

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.

THE HIGHER TAMM–DANCOFF APPROXIMATION: THEORETICAL CONTEXT AND PHENOMENOLOGICAL ASPECTS

2008 ◽  
Vol 17 (01) ◽  
pp. 228-239 ◽  
Author(s):  
PHILIPPE QUENTIN ◽  
HOUDA NAIDJA ◽  
LUDOVIC BONNEAU ◽  
JOHANN BARTEL ◽  
HA THUY LONG
Keyword(s):  
Shell Model ◽  
Quadrupole Interaction ◽  
Particle Number ◽  
Proton Proton ◽  
Hartree Fock ◽  
Pairing Correlations ◽  
Key Aspects ◽  
Proton Pairing ◽  
Theoretical Foundations ◽  
Model Approach

We present the key aspects of the theoretical foundations of the Higher Tamm–Dancoff Approximation which can be interpreted as a truncated shell-model approach based on a Hartree–Fock solution, ensuring the conservation of the particle number. Then we discuss some phenomenological aspects of the residual interactions used, namely the delta interaction to describe the neutron–neutron and proton–proton pairing correlations and the quadrupole–quadrupole interaction to describe vibrational correlations.

scholarly journals Single particle energies and nuclear g factors

2017 ◽  
Vol 26 (09) ◽  
pp. 1750053 ◽  
Author(s):  
Shadow Robinson ◽  
Larry Zamick
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
Ground State ◽  
Particle State ◽  
Complex Interplay ◽  
Model Calculations ◽  
Effective Interactions ◽  
State Splitting ◽  
State Affect ◽  
Nuclear Shell

Adding one neutron to doubly magic [Formula: see text]Sn, we can associate the low lying states in[Formula: see text]Sn with single particle states. Thus, the [Formula: see text] and [Formula: see text] states are identified as the [Formula: see text] and [Formula: see text] single particle states, respectively. In [Formula: see text]Sn, these two low lying states are separated by an energy of 0.172[Formula: see text]MeV. Currently, there is a dispute as to the ordering of these states. We examine how the two scenarios, selecting [Formula: see text] as the ground state or [Formula: see text] as the ground state, affect spectra and nuclear [Formula: see text] factors of higher mass Sn isotopes in a variety of shell model situations. Significantly, this includes examining the complex interplay of the choice of single particle state splitting, effective interactions, and effective [Formula: see text]-factors in nuclear shell model calculations. Of particular importance is how the trends in the calculated results for [Formula: see text] factors diverge from recent experimental measurements for the higher mass isotopes of Sn.

Cranking covariant density functional theory with a shell-model-like approach for the superdeformed band of 42Ca

2021 ◽  
pp. 2150055
Author(s):  
Lang Liu
Keyword(s):  
Density Functional Theory ◽  
Shell Model ◽  
Rotational Band ◽  
Single Particle ◽  
Density Functional ◽  
Rotational Frequency ◽  
Superdeformed Band ◽  
Functional Theory ◽  
Covariant Density Functional Theory ◽  
Covariant Density

The superdeformed rotational band in [Formula: see text]Ca is studied with the cranking covariant density functional theory complemented by a shell-model-like approach for treating the pairing correlations. The microscopic and self-consistent description of the superdeformed rotational band is obtained. The calculated energy surfaces show local minimums at [Formula: see text] from rotational frequency [Formula: see text] [Formula: see text] to [Formula: see text][Formula: see text]MeV. The shape coexistence of spherical, normal deformation and superdeformation is found at [Formula: see text][Formula: see text]MeV. The single-particle levels and configurations are analyzed in details with the deformation. The configuration of the superdeformed band is figured out as [Formula: see text]. The single-particle Routhians indicate that the neutrons configuration plays a key role in the formation of the superdeformed band, and the change of the protons configuration at [Formula: see text][Formula: see text]MeV terminates the superdeformed band. The importance of pairing correlation to the superdeformed band is also studied in terms of the moments of inertia and the angular momentum.

scholarly journals Quartet structure of self-conjugate nuclei

2019 ◽  
Vol 223 ◽  
pp. 01056
Author(s):  
Michelangelo Sambataro
Keyword(s):  
Angular Momentum ◽  
Shell Model ◽  
Ground State ◽  
Building Blocks ◽  
The Other ◽  
Model Interaction ◽  
Leading Role ◽  
Similar Description

We provide a description of even-even N = Z nuclei in a formalism of quartets. Quartets are four-body correlated structures characterized by isospin T and angular momentum J. We show that the ground state correlations induced by a realistic shell model interaction can be well accounted for in terms of a restricted set of T = 0 low–J quartets, the J = 0 one playing by far a leading role among them. A conceptually similar description of odd-odd self-conjugate nuclei is given in terms of two distinct families of building blocks, one formed by the same T = 0 quartets employed for the even-even systems and the other by collective pairs with either T = 0 or T = 1. Some applications of this formalism are discussed for nuclei in the sd shell.

EFFECTS OF VIBRATIONAL AND PAIRING CORRELATIONS ON ISOSPIN MIXING IN THE HIGHER TAMM-DANCOFF APPROXIMATION

2010 ◽  
Vol 19 (04) ◽  
pp. 568-574 ◽  
Author(s):  
JULIEN LE BLOAS ◽  
LUDOVIC BONNEAU ◽  
PHILIPPE QUENTIN ◽  
JOHANN BARTEL ◽  
DANIEL STROTTMAN
Keyword(s):  
Fermi Surface ◽  
Quadrupole Interaction ◽  
Ground State ◽  
Particle Number ◽  
Pauli Principle ◽  
Ground State Solution ◽  
Expectation Value ◽  
Pairing Correlations ◽  
Consistent Treatment ◽  
Variation Technique

In the framework of the Higher Tamm-Dancoff Approximation which allows for a consistent treatment of pairing and quadrupole vibrational correlations preserving the particle-number symmetry and the Pauli principle, we compare the isospin content of ground and excited Kπ = 0+ states including either type of the above mentioned correlations using an approximate projection-after-variation technique for isospin. The pairing correlations are described with a delta interaction using the same strength in the T = 0 and T = 1 channels, whereas the vibrational correlations are treated with an isoscalar quadrupole-quadrupole interaction. As a first study, we apply this approach in the N = Z, even-even 16 O nucleus. For the same amount of correlations measured by the diffusivity of Fermi surface or depletion of particle-hole vacuum in the ground-state solution, we find very similar isospin mixing in the ground state for both types of correlations, but different patterns for the distribution in the calculated solutions of the expectation value of the square of the isospin operator.

scholarly journals Study of the Q.Q interaction

2018 ◽  
Vol 27 (07) ◽  
pp. 1850056
Author(s):  
Arun Kingan ◽  
Xiaofei Yu ◽  
Larry Zamick
Keyword(s):  
Shell Model ◽  
Quadrupole Interaction ◽  
Single Particle ◽  
Ground State ◽  
Ground State Band ◽  
Rotational Model ◽  
Model Calculations ◽  
State Band

We perform shell model calculations using a quadrupole–quadrupole interaction (Q.Q). We show results in single j shell spaces and the full S-D shell. We show that one gets useful results with Q.Q in both spaces. We emphasize the importance of the choice of single particle energies in order to obtain the results of Elliott using a Q.Q interaction without the momentum terms. We show a [Formula: see text] spectrum for a ground state band but with [Formula: see text]’s different from the rotational model. We also show results such as [Formula: see text] and [Formula: see text] excited “spin bands”. (The latter can also be expressed as a [Formula: see text] band). We find spectra starting with [Formula: see text] which have both even [Formula: see text] and odd [Formula: see text] members.

Ground state of spin-2 dipolar rotating Bose–Einstein condensates

2019 ◽  
Vol 33 (10) ◽  
pp. 1950087
Author(s):  
Qiang Zhao
Keyword(s):  
Angular Momentum ◽  
Ground State ◽  
Dipolar Interaction ◽  
Rotational Frequency ◽  
Harmonic Potential ◽  
Total Density ◽  
Dipole Strength ◽  
Number Increase ◽  
Bose Einstein

We study the ground state of spin-2 dipolar rotating Bose–Einstein condensates in a harmonic potential. As the strength of dipolar interaction enhances, our results show that the vortex number becomes smaller and smaller at a fixed component. In addition, the vortex stripe occurs and its number increases. The components m[Formula: see text]1 or ±2 display the same density and the total density shows layered distribution. Increasing the rotational frequency to a higher value, the vortex number and vortex row number increase. We also plot the dependence of angular momentum Lz as a function of dipole strength c[Formula: see text], showing that Lz decreases with increasing c[Formula: see text].

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