Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Beyond-Mean-Field with an Effective Hamiltonian Mapped from an Energy Density Functional

Ljungberg, J. LU ; Boström, J. LU ; Carlsson, B. G. ; Idini, A. LU orcid and Rotureau, J. LU (2023) 28th International Nuclear Physics Conference, INPC 2022 In Journal of Physics: Conference Series 2586.
Abstract

A method for beyond-mean-field calculations based on an energy density functional is described. The main idea is to map the energy surface for the nuclear quadrupole deformation, obtained from an energy density functional at the mean-field level, into an effective Hamiltonian expressed as a many-body operator. The advantage of this procedure is that one avoids the problems with density dependence which can arise in beyond-mean-field methods. The effective Hamiltonian is then used in a straightforward way in the generator-coordinate-method with the inclusion of projections onto good particle numbers and angular momentum. In the end, both spectra and wave functions are obtained. As an example of the method, calculations for the nucleus... (More)

A method for beyond-mean-field calculations based on an energy density functional is described. The main idea is to map the energy surface for the nuclear quadrupole deformation, obtained from an energy density functional at the mean-field level, into an effective Hamiltonian expressed as a many-body operator. The advantage of this procedure is that one avoids the problems with density dependence which can arise in beyond-mean-field methods. The effective Hamiltonian is then used in a straightforward way in the generator-coordinate-method with the inclusion of projections onto good particle numbers and angular momentum. In the end, both spectra and wave functions are obtained. As an example of the method, calculations for the nucleus 62Zn is performed with three different parametrizations of the Skyrme functional. The results are compared with experiment.

(Less)
Please use this url to cite or link to this publication:
author
; ; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Journal of Physics: Conference Series
series title
Journal of Physics: Conference Series
volume
2586
edition
1
conference name
28th International Nuclear Physics Conference, INPC 2022
conference location
Cape Town, South Africa
conference dates
2022-09-11 - 2022-09-16
external identifiers
  • scopus:85174584229
ISSN
1742-6588
DOI
10.1088/1742-6596/2586/1/012081
language
English
LU publication?
yes
id
2f8f8c16-9bf0-4996-8633-0b96ca84c371
date added to LUP
2024-01-12 09:43:18
date last changed
2024-01-12 09:45:48
@inproceedings{2f8f8c16-9bf0-4996-8633-0b96ca84c371,
  abstract     = {{<p>A method for beyond-mean-field calculations based on an energy density functional is described. The main idea is to map the energy surface for the nuclear quadrupole deformation, obtained from an energy density functional at the mean-field level, into an effective Hamiltonian expressed as a many-body operator. The advantage of this procedure is that one avoids the problems with density dependence which can arise in beyond-mean-field methods. The effective Hamiltonian is then used in a straightforward way in the generator-coordinate-method with the inclusion of projections onto good particle numbers and angular momentum. In the end, both spectra and wave functions are obtained. As an example of the method, calculations for the nucleus <sup>62</sup>Zn is performed with three different parametrizations of the Skyrme functional. The results are compared with experiment.</p>}},
  author       = {{Ljungberg, J. and Boström, J. and Carlsson, B. G. and Idini, A. and Rotureau, J.}},
  booktitle    = {{Journal of Physics: Conference Series}},
  issn         = {{1742-6588}},
  language     = {{eng}},
  series       = {{Journal of Physics: Conference Series}},
  title        = {{Beyond-Mean-Field with an Effective Hamiltonian Mapped from an Energy Density Functional}},
  url          = {{http://dx.doi.org/10.1088/1742-6596/2586/1/012081}},
  doi          = {{10.1088/1742-6596/2586/1/012081}},
  volume       = {{2586}},
  year         = {{2023}},
}