scholarly journals Low-momentum nucleon–nucleon interaction and shell-model calculations

2005 ◽  
Vol 20 ◽  
pp. 137-142 ◽  
Author(s):  
A Covello ◽  
L Coraggio ◽  
A Gargano ◽  
N Itaco
Keyword(s):  
Shell Model ◽  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Model Calculations ◽  
Nucleon Nucleon Interaction

scholarly journals Wigner SU(4) symmetry, clustering, and the spectrum of $$^{12}$$C

2021 ◽  
Vol 57 (9) ◽  
Author(s):  
Shihang Shen ◽  
Timo A. Lähde ◽  
Dean Lee ◽  
Ulf-G. Meißner
Keyword(s):  
Excited States ◽  
Ground State ◽  
Nucleon Nucleon ◽  
Irreducible Representations ◽  
Spin Orbit ◽  
Hoyle State ◽  
Nucleon Interaction ◽  
Model Calculations ◽  
Nucleon Nucleon Interaction ◽  
Spin Orbit Interactions

AbstractWe present lattice calculations of the low-lying spectrum of $$^{12}$$ 12 C using a simple nucleon–nucleon interaction that is independent of spin and isospin and therefore invariant under Wigner’s SU(4) symmetry. We find strong signals for all excited states up to $$\sim 15$$ ∼ 15  MeV above the ground state, and explore the structure of each state using a large variety of $$\alpha $$ α cluster and harmonic oscillator trial states, projected onto given irreducible representations of the cubic group. We are able to verify earlier findings for the $$\alpha $$ α clustering in the Hoyle state and the second $$2^+$$ 2 + state of $$^{12}$$ 12 C. The success of these calculations to describe the full low-lying energy spectrum using spin-independent interactions suggest that either the spin-orbit interactions are somewhat weak in the $$^{12}$$ 12 C system, or the effects of $$\alpha $$ α clustering are diminishing their influence. This is in agreement with previous findings from ab initio shell model calculations.

scholarly journals Large–scale shell model calculations for 140Xe

2018 ◽  
Vol 194 ◽  
pp. 01004
Author(s):  
Sevdalina Dimitrova ◽  
Nicola Lo Iudice
Keyword(s):  
Shell Model ◽  
Large Scale ◽  
Nucleon Nucleon ◽  
Excitation Energies ◽  
Model Calculations ◽  
Nucleon Potential ◽  
High Spin States ◽  
Angular Momenta ◽  
Matrix Diagonalization ◽  
Nucleon Nucleon Interaction

This paper presents the results of a large-scale shell model calculations of the yrast spectrum of 140Xe. We extend the previous calculations confined to low-lying angular momenta to high-spin states apply- ing the same importance sampling iterative matrix diagonalization algorithm. Excitation energies and transi- tion probabilities are obtained by using an effective nucleon-nucleon interaction derived from the CD-Bonn nucleon-nucleon potential. A satisfactory agreement with the experimental data and the previous results for low lying states is achieved.

NUCLEON-NUCLEON INTERACTION AND SHELL MODEL

2002 ◽  
Author(s):  
A. COVELLO ◽  
L. CORAGGIO ◽  
A. GARGANO ◽  
N. ITACO ◽  
T. T. S. KUO
Keyword(s):  
Shell Model ◽  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction

SYMPLECTIC NO-CORE SHELL MODEL

2008 ◽  
Vol 17 (supp01) ◽  
pp. 133-145
Author(s):  
JERRY P. DRAAYER ◽  
TOMÁŠ DYTRYCH ◽  
KRISTINA D. SVIRATCHEVA ◽  
CHAIRUL BAHRI ◽  
JAMES P. VARY
Keyword(s):  
Shell Model ◽  
Model Space ◽  
Nucleon Nucleon ◽  
Strength Parameter ◽  
Core Shell ◽  
Many Body ◽  
Nucleon Interaction ◽  
Atomic Nuclei ◽  
Nucleon Nucleon Interaction ◽  
The Many

The symplectic no-core shell model (Sp-NCSM) is described. The theory is applied to a study of the structure of 12 C and 16 O . Results from a full 6ħΩ NCSM calculation for low-lying states in these nuclei using a realistic nucleon-nucleon interaction are found to project at approximately the 90% level onto a few of the leading 0 p -0 h and 2 p -2 h symplectic representations. The results are nearly independent of the oscillator strength parameter and whether bare or renormalized effective interactions are used in the analysis. The Sp-NCSM model space is typically only a very small fraction (under 1%) of the NCSM space, and grows slowly with increasing ħΩ. The comparisons with NCSM results suggest either the effective nucleon-nucleon interaction possesses a heretofore unappreciated symmetry, namely Sp(3,R) and the complementary (spin-isospin) supermultiplet symmetry, or the nuclear many-body system acts as a filter that allows the symplectic symmetry to propagate in a coherent way into the many-body dynamics while tending to dampen out symplectic symmetry breaking terms. Also, since the Sp-NCSM is a multi-ħΩ generalization of the Elliott SU (3) model, the results obtained to date reaffirm the relevance of SU (3) to atomic nuclei.

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