scholarly journals SHELL MODEL FOR HEAVY NUCLEI AND ITS APPLICATION IN NUCLEAR ASTROPHYSICS

2006 ◽  
Vol 15 (08) ◽  
pp. 1695-1709 ◽  
Author(s):  
YANG SUN
Keyword(s):  
Shell Model ◽  
Nuclear Physics ◽  
Mean Field ◽  
Nuclear Astrophysics ◽  
Heavy Nuclei ◽  
Projected Shell Model ◽  
Model Calculations ◽  
Diagonalization Method ◽  
Basic Philosophy ◽  
Mean Field Approximations

Performing shell model calculations for heavy nuclei is a long-standing problem in nuclear physics. The shell model truncation in the configuration space is an unavoidable step. The Projected Shell Model (PSM) truncates the space under the guidance of the deformed mean-field solutions. This implies that the PSM uses a novel and efficient way to bridge the two conventional methods: the deformed mean-field approximations, which are widely applied to heavy nuclei but able to describe the physics only in the intrinsic frame, and the spherical shell model diagonalization method, which is most fundamental but feasible only for small systems. We discuss the basic philosophy in construction of the PSM (or generally PSM-like) approach. Several examples from the PSM calculations are presented. Astrophysical applications are emphasized.

scholarly journals An upgraded algorithm for shell model calculations and its implementation in medium-heavy nuclei

2011 ◽  
Vol 267 ◽  
pp. 012026
Author(s):  
D Bianco ◽  
F Andreozzi ◽  
N Lo Iudice ◽  
A Porrino ◽  
F Knapp
Keyword(s):  
Shell Model ◽  
Heavy Nuclei ◽  
Model Calculations

SHAPE EVOLUTION OF HIGHLY DEFORMED 75Kr AND PROJECTED SHELL MODEL DESCRIPTION

2010 ◽  
Vol 19 (08n09) ◽  
pp. 1754-1762 ◽  
Author(s):  
YING-CHUN YANG ◽  
YANG SUN ◽  
T. TRIVEDI ◽  
R. PALIT ◽  
J. A. SHEIKH
Keyword(s):  
Shell Model ◽  
Negative Parity ◽  
Model Description ◽  
Shape Evolution ◽  
Quadrupole Moments ◽  
Projected Shell Model ◽  
Model Calculations ◽  
High Spin States ◽  
Parity Band ◽  
Insight Into

A study of recently-measured high spin states of 75 Kr is carried out by using the Projected Shell Model. Calculations are performed up to spin I = 33/2 for the positive parity band and I = 27/2 for the negative parity band. Irregularities found in moment of inertia and in the deduced transition quadrupole moments Q t of the two bands are discussed in terms of the alignment of g 9/2 protons. Our study provides an insight into the shape evolution of the well-deformed nucleus 75 kr .

Study of odd mass 115−125Sb isotopes with the projected shell model calculations

2017 ◽  
Vol 26 (06) ◽  
pp. 1750041 ◽  
Author(s):  
Dhanvir Singh ◽  
Arun Bharti ◽  
Amit Kumar ◽  
Suram Singh ◽  
G. H. Bhat ◽  
...  
Keyword(s):  
Shell Model ◽  
Transition Probabilities ◽  
Negative Parity ◽  
Yrast Band ◽  
Spin States ◽  
Projected Shell Model ◽  
Model Calculations ◽  
High Spin States ◽  
Reduced Transition Probabilities ◽  
First Time

The projected shell model (PSM) with the deformed single-particle states, generated by the standard Nilsson potential, is applied to study the negative-parity high spin states of [Formula: see text] nuclei. The nuclear structure quantities like band structure and back-bending in moment of inertia have been calculated with PSM method and are compared with the available experimental data. In addition, the reduced transition probabilities, i.e., B[Formula: see text] and B[Formula: see text], are also obtained for the yrast band of these isotopes for the first time by using PSM wave function. A multi-quasiparticle structure has been predicted for [Formula: see text] isotopes by the present PSM calculations.

Reinvestigation of two-phonon γ-vibrational band in neutron-rich 114Pd

2016 ◽  
Vol 25 (09) ◽  
pp. 1650064 ◽  
Author(s):  
Y. Huang ◽  
S. J. Zhu ◽  
J. H. Hamilton ◽  
A. V. Ramayya ◽  
E. H. Wang ◽  
...  
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Spontaneous Fission ◽  
Level Structure ◽  
Vibrational Band ◽  
Projected Shell Model ◽  
Previous Suggestion ◽  
Model Calculations ◽  
Good Agreement

The level structure in neutron-rich [Formula: see text]Pd nucleus has been reinvestigated by measuring prompt [Formula: see text] rays emitted in the spontaneous fission of [Formula: see text]Cf. A two-phonon [Formula: see text]-vibrational band built on the 1639.3[Formula: see text]keV level is observed, which confirms the previous suggestion from a [Formula: see text]-decay experiment. Systematical comparison supports the assignment for a two-phonon [Formula: see text]-vibrational band in [Formula: see text]Pd. Triaxial projected shell model calculations for the multi-phonon [Formula: see text] bands of [Formula: see text]Pd are in good agreement with the experimental data.

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.

scholarly journals Present Status of Nuclear Shell-Model Calculations of 0νββ Decay Matrix Elements

Universe ◽  
2020 ◽  
Vol 6 (12) ◽  
pp. 233
Author(s):  
Luigi Coraggio ◽  
Nunzio Itaco ◽  
Giovanni De Gregorio ◽  
Angela Gargano ◽  
Riccardo Mancino ◽  
...  
Keyword(s):  
Shell Model ◽  
Nuclear Physics ◽  
Computational Models ◽  
Theoretical Calculations ◽  
Nuclear Matrix Element ◽  
Model Calculations ◽  
Intrinsic Nature ◽  
Nuclear Problem ◽  
Model Spaces ◽  
The Many

Neutrinoless double beta (0νββ) decay searches are currently among the major foci of experimental physics. The observation of such a decay will have important implications in our understanding of the intrinsic nature of neutrinos and shed light on the limitations of the Standard Model. The rate of this process depends on both the unknown neutrino effective mass and the nuclear matrix element (M0ν) associated with the given 0νββ transition. The latter can only be provided by theoretical calculations, hence the need of accurate theoretical predictions of M0ν for the success of the experimental programs. This need drives the theoretical nuclear physics community to provide the most reliable calculations of M0ν. Among the various computational models adopted to solve the many-body nuclear problem, the shell model is widely considered as the basic framework of the microscopic description of the nucleus. Here, we review the most recent and advanced shell-model calculations of M0ν considering the light-neutrino-exchange channel for nuclei of experimental interest. We report the sensitivity of the theoretical calculations with respect to variations in the model spaces and the shell-model nuclear Hamiltonians.

Sign in / Sign up

Export Citation Format

Share Document