No Core Shell Model For A
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Author |
: Michael Karl Gerhard Kruse |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 135 |
Release |
: 2013-09-05 |
ISBN-10 |
: 9783319013930 |
ISBN-13 |
: 3319013939 |
Rating |
: 4/5 (30 Downloads) |
Synopsis Extensions to the No-Core Shell Model by : Michael Karl Gerhard Kruse
Extensions to the No-Core Shell Model presents three extensions to the No-Core Shell Model (NCSM) that allow for calculations of heavier nuclei, specifically for the p-shell nuclei. The Importance-Truncated NCSM (IT-NCSM) formulated on arguments of multi-configurational perturbation theory selects a small set of basis states from the initially large basis space in which the Hamiltonian is diagonalized. Previous IT-NCSM calculations have proven reliable, however, there has been no thorough investigation of the inherent error in the truncated IT-NCSM calculations. This thesis provides a detailed study of IT-NCSM calculations and compares them to full NCSM calculations to judge the accuracy of IT-NCSM in heavier nuclei. When IT-NCSM calculations are performed, one often needs to extrapolate the ground-state energy from the finite basis (or model) spaces to the full NCSM model space. In this thesis a careful investigation of the extrapolation procedures was performed. On a related note, extrapolations in the NCSM are commonplace, but up to recently did not have the ultraviolet (UV) or infrared (IR) physics under control. This work additionally presents a method that maps the NCSM parameters into an effective-field theory inspired framework, in which the UV and IR physics are treated appropriately. The NCSM is well-suited to describe bound-state properties of nuclei, but is not well-adapted to describe loosely bound systems, such as the exotic nuclei near the neutron drip line. With the inclusion of the Resonating Group Method (RGM), the NCSM / RGM can provide a first-principles description of exotic nuclei and the first extension of the NCSM.
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: |
Publisher |
: |
Total Pages |
: 8 |
Release |
: 2010 |
ISBN-10 |
: OCLC:1065887470 |
ISBN-13 |
: |
Rating |
: 4/5 (70 Downloads) |
Synopsis The Ab-Initio No-Core Shell Model and Light Nuclei by :
Author |
: |
Publisher |
: |
Total Pages |
: |
Release |
: 2005 |
ISBN-10 |
: OCLC:68228218 |
ISBN-13 |
: |
Rating |
: 4/5 (18 Downloads) |
Synopsis Ab-Initio No-Core Shell Model by :
Abstract not provided.
Author |
: |
Publisher |
: |
Total Pages |
: 19 |
Release |
: 2006 |
ISBN-10 |
: OCLC:1065896654 |
ISBN-13 |
: |
Rating |
: 4/5 (54 Downloads) |
Synopsis No-Core Shell Model for A by :
We apply the no-core shell model to the nuclear structure of odd-mass nuclei straddling 48Ca. Starting with the NN interaction, that fits two-body scattering and bound state data, we evaluate the nuclear properties of A = 47 and A = 49 nuclei while preserving all the underlying symmetries. Due to model space limitations and the absence of three-body interactions, we incorporate phenomenological interaction terms determined by fits to A = 48 nuclei in a previous effort. Our modified Hamiltonian produces reasonable spectra for these odd-mass nuclei. In addition to the differences in single-particle basis states, the absence of a single-particle Hamiltonian in our no-core approach complicates comparisons with valence effective NN interactions. We focus on purely off-diagonal two-body matrix elements since they are not affected by ambiguities in the different roles for one-body potentials and we compare selected sets of fp-shell matrix elements of our initial and modified Hamiltonians in the harmonic oscillator basis with those of a recent model fp-shell interaction, the GXPF1 interaction of Honma et al. While some significant differences emerge from these comparisons, there is an overall reasonably good correlation between our off-diagonal matrix elements and those of GXPF1.
Author |
: |
Publisher |
: |
Total Pages |
: 66 |
Release |
: 2009 |
ISBN-10 |
: OCLC:727224400 |
ISBN-13 |
: |
Rating |
: 4/5 (00 Downloads) |
Synopsis Recent Developments in No-Core Shell-Model Calculations by :
We present an overview of recent results and developments of the no-core shell model (NCSM), an ab initio approach to the nuclear many-body problem for light nuclei. In this aproach, we start from realistic two-nucleon or two- plus three-nucleon interactions. Many-body calculations are performed using a finite harmonic-oscillator (HO) basis. To facilitate convergence for realistic inter-nucleon interactions that generate strong short-range correlations, we derive effective interactions by unitary transformations that are tailored to the HO basis truncation. For soft realistic interactions this might not be necessary. If that is the case, the NCSM calculations are variational. In either case, the ab initio NCSM preserves translational invariance of the nuclear many-body problem. In this review, we, in particular, highlight results obtained with the chiral two- plus three-nucleon interactions. We discuss efforts to extend the applicability of the NCSM to heavier nuclei and larger model spaces using importance-truncation schemes and/or use of effective interactions with a core. We outline an extension of the ab initio NCSM to the description of nuclear reactions by the resonating group method technique. A future direction of the approach, the ab initio NCSM with continuum, which will provide a complete description of nuclei as open systems with coupling of bound and continuum states is given in the concluding part of the review.
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Publisher |
: |
Total Pages |
: |
Release |
: 2005 |
ISBN-10 |
: OCLC:68229582 |
ISBN-13 |
: |
Rating |
: 4/5 (82 Downloads) |
Synopsis Ab Initio No-Core Shell Model Calculations Using Realistic Two- and Three-Body Interactions by :
Abstract not provided.
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Publisher |
: |
Total Pages |
: |
Release |
: 2005 |
ISBN-10 |
: OCLC:873582163 |
ISBN-13 |
: |
Rating |
: 4/5 (63 Downloads) |
Synopsis No-Core Shell Model and Reactions by :
There has been a significant progress in ab initio approaches to the structure of light nuclei. Starting from realistic two- and three-nucleon interactions the ab initio no-core shell model (NCSM) can predict low-lying levels in p-shell nuclei. It is a challenging task to extend ab initio methods to describe nuclear reactions. In this contribution, we present a brief overview of the NCSM with examples of recent applications as well as the first steps taken toward nuclear reaction applications. In particular, we discuss cross section calculations of p+6Li and 6He+p scattering as well as a calculation of the astrophysically important 7Be(p, [gamma])8B S-factor.
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: |
Publisher |
: |
Total Pages |
: 12 |
Release |
: 2007 |
ISBN-10 |
: OCLC:727350803 |
ISBN-13 |
: |
Rating |
: 4/5 (03 Downloads) |
Synopsis Ab Initio and Ab Exitu No-Core Shell Model by :
We outline two complementary approaches based on the no core shell model (NCSM) and present recent results. In the ab initio approach, nuclear properties are evaluated with two-nucleon (NN) and three-nucleon interactions (TNI) derived within effective field theory (EFT) based on chiral perturbation theory (ChPT). Fitting two available parameters of the TNI generates good descriptions of light nuclei. In a second effort, an ab exitu approach, results are obtained with a realistic NN interaction derived by inverse scattering theory with off-shell properties tuned to fit light nuclei. Both approaches produce good results for observables sensitive to spin-orbit properties.
Author |
: W. E. Ormand |
Publisher |
: |
Total Pages |
: 6 |
Release |
: 2004 |
ISBN-10 |
: OCLC:316524502 |
ISBN-13 |
: |
Rating |
: 4/5 (02 Downloads) |
Synopsis No-Core Shell Model Calculations in Light Nuclei with Three-Nucleon Forces by : W. E. Ormand
The ab initio No-Core Shell Model (NCSM) has recently been expanded to include nucleon-nucleon (NN) and three-nucleon (3N) interactions at the three-body cluster level. Here it is used to predict binding energies and spectra of p-shell nuclei based on realistic NN and 3N interactions. It is shown that 3N force (3NF) properties can be studied in these nuclear systems. First results show that interactions based on chiral perturbation theory lead to a realistic description of {sup 6}Li.
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Publisher |
: |
Total Pages |
: |
Release |
: 2005 |
ISBN-10 |
: OCLC:68227897 |
ISBN-13 |
: |
Rating |
: 4/5 (97 Downloads) |
Synopsis Ab Initio Large-Basis No-Core Shell Model by :
We discuss the motivation, theory, and formulation of the ab initio No-Core Shell Model (NCSM). In this method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) and theoretical three-nucleon (NNN) potentials, as a function of the finite harmonic-oscillator (HO) basis space. We present converged results for the A = 3 and 4 nucleon systems, which are in agreement with results obtained by other exact methods, followed by results for p-shell nuclei. Binding energies, rms radii, excitation spectra, and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN and NNN interactions rather than a phenomenological fit.