scholarly journals Recent Progress in Gamow Shell Model Calculations of Drip Line Nuclei

Physics ◽  
2021 ◽  
Vol 3 (4) ◽  
pp. 977-997
Author(s):  
Jianguo Li ◽  
Yuanzhuo Ma ◽  
Nicolas Michel ◽  
Baishan Hu ◽  
Zhonghao Sun ◽  
...  
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
Recent Progress ◽  
Drip Line ◽  
Powerful Method ◽  
Model Calculations ◽  
Momentum Plane ◽  
Shell Models ◽  
Different Types ◽  
Nuclear Interactions

The Gamow shell model (GSM) is a powerful method for the description of the exotic properties of drip line nuclei. Internucleon correlations are included via a configuration interaction framework. Continuum coupling is directly included at basis level by using the Berggren basis, in which, bound, resonance, and continuum single-particle states are treated on an equal footing in the complex momentum plane. Two different types of Gamow shell models have been developed: its first embodiment is that of the GSM defined with phenomenological nuclear interactions, whereas the GSM using realistic nuclear interactions, called the realistic Gamow shell model, was introduced later. The present review focuses on the recent applications of the GSM to drip line nuclei.

scholarly journals SHELL MODEL DESCRIPTION OF 102–108Sn ISOTOPES

2012 ◽  
Vol 21 (04) ◽  
pp. 1250049
Author(s):  
T. TRIVEDI ◽  
P. C. SRIVASTAVA ◽  
D. NEGI ◽  
I. MEHROTRA
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
State Of The Art ◽  
Model Space ◽  
Model Description ◽  
Nuclear Shell Model ◽  
Model Calculations ◽  
Particle Orbits ◽  
Recent Experimental Work ◽  
Nuclear Shell

We have performed shell model calculations for neutron deficient even 102-108 Sn and odd 103-107 Sn isotopes in sdg7/2h11/2 model space using two different interactions. The first set of interaction is due to Brown et al. and second is due to Hoska et al. The calculations have been performed using doubly magic 100 Sn as core and valence neutrons are distributed over the single particle orbits 1g7/2, 2d5/2, 2d3/2, 3s1/2 and 1h11/2. In more recent experimental work for 101 Sn [I. G. Darby et al., Phys. Rev. Lett.105 (2010) 162502], the g.s. is predicted as 5/2+ with excited 7/2+ at 172 keV. We have also performed another two set of calculations by taking difference in single particle energies of 2d5/2 and 1g7/2 orbitals by 172 keV. The present state-of-the-art shell model calculations predict fair agreement with the experimental data. These calculations serve as a test of nuclear shell model in the region far from stability for unstable Sn isotopes near the doubly magic 100 Sn core.

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.

scholarly journals Measurement of proton-distribution radii of neutron-rich nitrogen isotopes

2019 ◽  
Vol 223 ◽  
pp. 01003
Author(s):  
Soumya Bagchi ◽  
Rituparna Kanungo ◽  
Wataru Horiuchi ◽  
Gaute Hagen ◽  
Titus D. Morris ◽  
...  
Keyword(s):  
Shell Model ◽  
Cross Section ◽  
Nitrogen Isotopes ◽  
Drip Line ◽  
Neutron Skin ◽  
Neutron Halo ◽  
Mean Square ◽  
Neutron Drip Line ◽  
Model Calculations ◽  
Good Agreement

Measurement of root-mean-square radii of proton distributions of 17–22N from charge-changing cross section shows the emergence of thick neutron skin towards the neutron-drip line. Signature of N = 14 shell gap has been found in nitrogen isotopes along with the emergence of neutron halo in 22N. The measured radii are in good agreement with the shell model calculations.

Recent Progress in Shell-Model Calculations for pfg-shell Nuclei

2010 ◽  
Author(s):  
M. Honma ◽  
T. Otsuka ◽  
T. Mizusaki ◽  
M. Hjorth-Jensen ◽  
Akira Ozawa ◽  
...  
Keyword(s):  
Shell Model ◽  
Recent Progress ◽  
Model Calculations

scholarly journals Gamow shell-model calculations of drip-line oxygen isotopes

2009 ◽  
Vol 80 (5) ◽  
Author(s):  
K. Tsukiyama ◽  
M. Hjorth-Jensen ◽  
G. Hagen
Keyword(s):  
Shell Model ◽  
Oxygen Isotopes ◽  
Drip Line ◽  
Model Calculations ◽  
Line Oxygen

Shell evolution for neutron-rich 46–54Ar isotopes in the full and truncated fp neutron model spaces

2021 ◽  
Author(s):  
Hussam A. Bahr ◽  
Ali A. Alzubadi
Keyword(s):  
Excitation Energy ◽  
Shell Model ◽  
Transition Probability ◽  
Energy Levels ◽  
Drip Line ◽  
Model Calculations ◽  
Effective Interactions ◽  
Argon Isotopes ◽  
Model Spaces ◽  
Text Model

The shell evolution of even–even drip line argon isotopes [Formula: see text] has been investigated via the shell model calculations using SDPF-U and SDPF-NR two-body effective interactions in two different shell model spaces [Formula: see text] and [Formula: see text]. In this work, the energy of first [Formula: see text], reduced transition probability [Formula: see text], excitation energy levels as well as how the proton shells evolve with [Formula: see text] have been studied. Excellent agreements were obtained for the first [Formula: see text] level along the investigated isotopes within [Formula: see text] and [Formula: see text] model spaces.

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.

scholarly journals Role of Single-Particle Energies in Microscopic Interacting Boson Model Double Beta Decay Calculations

Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 66
Author(s):  
Jenni Kotila
Keyword(s):  
Beta Decay ◽  
Single Particle ◽  
Field Potential ◽  
Double Beta Decay ◽  
Interacting Boson Model ◽  
Model Calculations ◽  
Single Particle Level ◽  
Particle Level ◽  
Boson Model

Single-particle level energies form a significant input in nuclear physics calculations where single-particle degrees of freedom are taken into account, including microscopic interacting boson model investigations. The single-particle energies may be treated as input parameters that are fitted to reach an optimal fit to the data. Alternatively, they can be calculated using a mean field potential, or they can be extracted from available experimental data, as is done in the current study. The role of single-particle level energies in the microscopic interacting boson model calculations is discussed with special emphasis on recent double beta decay calculations.

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