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Title: Coupled-Cluster Theory for Nuclei

Abstract

The quantum-many body problem spans numerous scientific disciplines ranging from condensed matter to quantum dots, to high-temperature superconductors, and to nuclei. In these proceedings, we discuss the development of coupled-cluster techniques and their application to nuclei. We concentrate specifically on calculations pertaining to the ground- and excited-state properties of ¹⁶O.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
921853
Report Number(s):
PNNL-SA-43982
KP1303000; TRN: US0800786
DOE Contract Number:
AC05-76RL01830
Resource Type:
Book
Resource Relation:
Related Information: Condensed Matter Theories, 20:89-97
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; NUCLEI; MANY-BODY PROBLEM; GROUND STATES; EXCITED STATES; HELIUM 4; OXYGEN 16

Citation Formats

Dean, David J., Hjorth-Jensen, M., Kowalski, Karol, Piecuch, Piotr, and Wloch, M. W. Coupled-Cluster Theory for Nuclei. United States: N. p., 2006. Web.
Dean, David J., Hjorth-Jensen, M., Kowalski, Karol, Piecuch, Piotr, & Wloch, M. W. Coupled-Cluster Theory for Nuclei. United States.
Dean, David J., Hjorth-Jensen, M., Kowalski, Karol, Piecuch, Piotr, and Wloch, M. W. Wed . "Coupled-Cluster Theory for Nuclei". United States. doi:.
@article{osti_921853,
title = {Coupled-Cluster Theory for Nuclei},
author = {Dean, David J. and Hjorth-Jensen, M. and Kowalski, Karol and Piecuch, Piotr and Wloch, M. W.},
abstractNote = {The quantum-many body problem spans numerous scientific disciplines ranging from condensed matter to quantum dots, to high-temperature superconductors, and to nuclei. In these proceedings, we discuss the development of coupled-cluster techniques and their application to nuclei. We concentrate specifically on calculations pertaining to the ground- and excited-state properties of ¹⁶O.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2006},
month = {Wed Feb 01 00:00:00 EST 2006}
}

Book:
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  • Using coupled-cluster theory and interactions from chiral effective field theory, we compute overlap functions for transfer and scattering of low-energy protons on the target nucleus 40Ca. Effects of three-nucleon forces are included phenomenologically as in-medium two-nucleon interactions. Using known asymptotic forms for one-nucleon overlap functions we derive a simple and intuitive way of computing scattering observables such as elastic scattering phase shifts and cross sections. As a first application and proof of principle, we compute phase shifts and differential interaction cross sections at energies of 9.6 and 12.44 MeV and compare with experimental data. Our computed diffraction minima are inmore » fair agreement with experimental results, while we tend to overestimate the cross sections at large scattering angles.« less
  • We develop a method based on equation-of-motion coupled-cluster theory to describe properties of open-shell nuclei with A{+-}2 nucleons outside a closed shell. We perform proof-of-principle calculations for the ground states of the helium isotopes {sup 3-6}He and the first excited 2{sup +} state in {sup 6}He. The comparison with exact results from matrix diagonalization in small model spaces demonstrates the accuracy of the coupled-cluster methods. Three-particle-one-hole excitations of {sup 4}He play an important role for the accurate description of {sup 6}He. For the open-shell nucleus {sup 6}He, the computational cost of the method is comparable with the coupled-cluster singles-and-doubles approximationmore » while its accuracy is similar to the coupled-cluster with singles, doubles, and triples excitations.« less
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