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.

scholarly journals Nuclear response at zero and finite temperature

2019 ◽  
Vol 223 ◽  
pp. 01033
Author(s):  
Elena Litvinova ◽  
Peter Schuck ◽  
Herlik Wibowo
Keyword(s):  
Finite Temperature ◽  
Nucleon Nucleon ◽  
Many Body ◽  
Nucleon Interaction ◽  
Medium Mass ◽  
Recent Developments ◽  
Nucleon Nucleon Interaction ◽  
Energy Dependent ◽  
Finite Nuclei ◽  
Nuclear Response

We present some recent developments on the nuclear many-body problem, such as the treatment of high-order correlations and finite temperature in the description of in-medium two-nucleon propagators. In this work we discuss two-time propagators of the particle-hole type, which describe the response of finite nuclei to external probes without nucleon transfer. The general theory is formulated in terms of the equation of motion method for these propagators with the only input from the bare nucleon-nucleon interaction. The numerical implementation was performed on the basis of the effective mason-nucleon Lagrangian in order to study the energy-dependent kernels of different complexity. The finite-temperature extension of the theory with ph ⊗ phonon configurations is applied to a study of the multipole response of medium-mass nuclei.

The Nucleon–Nucleon Interaction and the Nuclear Many-Body Problem

10.1142/7499 ◽  
2010 ◽  
Author(s):  
Gerald E Brown ◽  
Thomas T S Kuo ◽  
Jeremy W Holt ◽  
Sabine Lee
Keyword(s):  
Body Problem ◽  
Nucleon Nucleon ◽  
Many Body ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction

scholarly journals Isospin dynamics in nuclear structure

2018 ◽  
Vol 182 ◽  
pp. 02075
Author(s):  
Elena Litvinova ◽  
Caroline Robin ◽  
Peter Schuck
Keyword(s):  
Nucleon Nucleon ◽  
Many Body ◽  
Rare Isotope ◽  
Rare Isotope Beam ◽  
Theoretical Approaches ◽  
Energy Part ◽  
Body Dynamics ◽  
Nucleon Nucleon Interaction ◽  
The Many ◽  
Nuclear Response

We discuss some special aspects of the nuclear many-body problem related to isospin transfer. The major quantity of interest is the in-medium propagator of a particlehole configuration of the proton-neutron character, which determines the nuclear response to isospin transferring external fields. One of the most studied excitation modes is the Gamow-Teller resonance (GTR), which can, therefore, be used as a sensitive test for the theoretical approaches. Its low-energy part, which is responsible for the beta decay halflives, is especially convenient for this. Models benchmarked against the GTR can be used to predict other, more exotic, excitations studied at nuclear rare isotope beam facilities and in astrophysics. As far as the precision is concerned, the major problem in such an analysis is to disentangle the effects related to the underlying interaction and those caused by the many-body correlations. Therefore, approaches (i) based on fundamental concepts for the nucleon-nucleon interaction which (ii) include complex many-body dynamics are the preferred ones. We discuss progress and obstacles on the way to such approaches.

The nucleon-nucleon interaction and the nuclear many-body problem

1985 ◽  
Vol 124 (1) ◽  
pp. 1-68 ◽  
Author(s):  
S.-O. Bäckman ◽  
G.E. Brown ◽  
J.A. Niskanen
Keyword(s):  
Body Problem ◽  
Nucleon Nucleon ◽  
Many Body ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction

scholarly journals SIMULATION OF SYMMETRIC NUCLEI AND THE ROLE OF PAULI POTENTIAL IN BINDING ENERGIES AND RADII

2009 ◽  
Vol 18 (03) ◽  
pp. 705-719
Author(s):  
M. ÁNGELES PÉREZ-GARCÍA ◽  
K. TSUSHIMA ◽  
A. VALCARCE
Keyword(s):  
Finite Size ◽  
Mass Range ◽  
Nucleon Nucleon ◽  
Binding Energies ◽  
Many Body ◽  
Nucleon Interaction ◽  
Pauli Potential ◽  
Medium Mass ◽  
Nucleon Number ◽  
Nucleon Nucleon Interaction

It is shown that the use of a density-dependent effective Pauli potential together with a generic nucleon–nucleon interaction potential plays a crucial role to reproduce not only the binding energies but also the matter root mean square radii of medium mass range spin–isospin saturated nuclei. This study is performed with a semiclassical Monte Carlo many-body simulation within the context of a simplified nucleon–nucleon interaction to focus on the effect of the genuine correlations due to the fermionic nature of nucleons. The procedure obtained is rather robust and it does not depend on the detailed features of the nucleon–nucleon interaction. For nuclei below saturation the density dependence may be represented in terms either of the nucleon number, A, or the associated Fermi momenta. When testing the simulation procedure for idealized "infinite" symmetric nuclear matter within the corresponding range of densities, we find that, beyond the low particle number limit, finite size effects do not affect the Pauli potential strength parametrization.

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