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

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.

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Projected shell model for Gamow-Teller transitions in heavy, deformed nuclei

EPJ Web of Conferences ◽

10.1051/epjconf/201610905001 ◽

2016 ◽

Vol 109 ◽

pp. 05001

Author(s):

Long-Jun Wang ◽

Yang Sun ◽

Zao-Chun Gao ◽

Surja Kiran Ghorui

Keyword(s):

Shell Model ◽

Projected Shell Model ◽

Deformed Nuclei ◽

Gamow Teller

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Fortran code of the Projected Shell Model: feasible shell model calculations for heavy nuclei

Computer Physics Communications ◽

10.1016/s0010-4655(97)00064-7 ◽

1997 ◽

Vol 104 (1-3) ◽

pp. 245-258 ◽

Cited By ~ 49

Author(s):

Yang Sun ◽

Kenji Hara

Keyword(s):

Shell Model ◽

Heavy Nuclei ◽

Projected Shell Model ◽

Model Calculations ◽

Fortran Code

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SHELL MODEL FOR HEAVY NUCLEI AND ITS APPLICATION IN NUCLEAR ASTROPHYSICS

International Journal of Modern Physics E ◽

10.1142/s0218301306005307 ◽

2006 ◽

Vol 15 (08) ◽

pp. 1695-1709 ◽

Cited By ~ 3

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.

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Study of the nucleon-rich effect in 158Er and 185Os rare-earth nuclei using the projected shell model

Journal of the Korean Physical Society ◽

10.1007/s40042-021-00127-w ◽

2021 ◽

Author(s):

Maryam Moonesi ◽

Alireza Haghpeima ◽

Mehran Shahriari

Keyword(s):

Rare Earth ◽

Shell Model ◽

Projected Shell Model ◽

Rare Earth Nuclei

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BIMODAL FISSION IN 258FM

Modern Physics Letters A ◽

10.1142/s0217732386000464 ◽

1986 ◽

Vol 01 (06) ◽

pp. 377-381 ◽

Cited By ~ 11

Author(s):

K. DEPTA ◽

J.A. MARUHN ◽

W. GREINER ◽

W. SCHEID ◽

A. SANDULESCU

Keyword(s):

Kinetic Energy ◽

Shell Model ◽

Fission Products ◽

Degree Of Freedom ◽

Total Kinetic Energy ◽

Heavy Nuclei ◽

Energy Distributions ◽

Decay Channels ◽

Symmetric Fission ◽

Kinetic Energy Distributions

Within the 2-center shell model we present an explanation for the mass and total-kinetic-energy distributions of fission products of very heavy nuclei called “bimodal fission.” For the case of 258 FM we show that the symmetric fission can be described by a 2-dimensional treatment of the elongation and neck degree of freedom. Owing to shell corrections the system fissions via two decay channels that have distinct kinetic energies.

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THE RESPONSE FUNCTION OF THE 4He, 16O AND 40Ca NUCLEI IN THE HARMONIC OSCILLATOR SHELL MODEL AND THE IMPULSE APPROXIMATIONS

International Journal of Modern Physics E ◽

10.1142/s0218301313500110 ◽

2013 ◽

Vol 22 (02) ◽

pp. 1350011

Author(s):

M. MODARRES ◽

Y. YOUNESIZADEH

Keyword(s):

Harmonic Oscillator ◽

Shell Model ◽

Momentum Distribution ◽

Impulse Approximation ◽

Distribution Functions ◽

Heavy Nuclei ◽

Momentum Distribution Function ◽

Oscillator Shell ◽

Nucleus Scattering ◽

The One

In this work, the response functions (RFs) of the 4 He , 16 O and 40 Ca nuclei are calculated in the harmonic oscillator shell model (HOSM) and the impulse approximation (IA). First, the one-body momentum distribution and the one-body spectral functions for these nuclei are written in the HOSM configuration. Then, their RFs are calculated, in the two frameworks, namely the spectral and the momentum distribution functions, within the IA. Unlike our previous work, no further assumption is made to reduce the analytical complications. For each nucleus, it is shown that the (RF) evaluated using the corresponding spectral function has a sizable shift, with respect to the one calculated in terms of the momentum distribution function. It is concluded that for the heavier nuclei, this shift increases and reaches nearly to a constant value (approximately 62 MeV), i.e., similar to that of nuclear matter. It is discussed that in the nuclei with the few nucleons, the above shift can approximately be ignored. This result reduces the theoretical complication for the explanation of the ongoing deep inelastic scattering (DIS) experiments of 3 H or 3 H nucleus target in the Jefferson Laboratory. On the other hand, it is observed that in the heavier nuclei, the RF heights (width) decrease (increase), i.e., the comparison between the theoretical and the experimental electron nucleus scattering cross-section is more sensible for heavy nuclei rather than the light ones.

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Shell model description of heavy nuclei and abnormal collective motions

EPJ Web of Conferences ◽

10.1051/epjconf/201817802015 ◽

2018 ◽

Vol 178 ◽

pp. 02015

Author(s):

Chong Qi

Keyword(s):

Shell Model ◽

Degrees Of Freedom ◽

Large Scale ◽

Model Description ◽

Heavy Nuclei ◽

Collective Models ◽

Collective Behaviors ◽

Electromagnetic Transition ◽

Nuclear Shell ◽

Model Approach

In this contribution I present systematic calculations on the spectroscopy and electromagnetic transition properties of intermediate-mass and heavy nuclei around 100Sn and 208Pb. We employed the large-scale configuration interaction shell model approach with realistic interactions. Those nuclei are the longest isotopic chains that can be studied by the nuclear shell model. I will show that the yrast spectra of Te isotopes show a vibrational-like equally spaced pattern but the few known E2 transitions show rotational-like behaviour. These kinds of abnormal collective behaviors cannot be reproduced by standard collective models and provide excellent background to study the competition of single-particle and various collective degrees of freedom. Moreover, the calculated B(E2) values for neutron-deficient and heavier Te isotopes show contrasting different behaviours along the yrast line, which may be related to the enhanced neutron-proton correlation when approaching N=50. The deviations between theory and experiment concerning the energies and E2 transition properties of low-lying 0+ and 2+ excited states and isomeric states in those nuclei may provide a constraint on our understanding of nuclear deformation and intruder configuration in that region.

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