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Multistep shell model in the complex energy plane
KTH, School of Engineering Sciences (SCI), Physics, Nuclear Physics.
KTH, School of Engineering Sciences (SCI), Physics, Nuclear Physics.ORCID iD: 0000-0002-1406-5695
KTH, School of Engineering Sciences (SCI), Physics, Particle and Astroparticle Physics.
KTH, School of Engineering Sciences (SCI), Physics, Nuclear Physics.
2012 (English)In: Advanced Many-Body And Statistical Methods In Mesoscopic Systems, Institute of Physics Publishing (IOPP), 2012, 012029- p.Conference paper, Published paper (Refereed)
Abstract [en]

We have adopted the multistep shell model in the complex energy plane to study nuclear excitations occurring in the continuum part of the spectrum. In this method one proceeds by solving the shell model equations in a successive manner. That is, in each step one constructs the building blocks to be used in future steps. We applied this formalism to analyze the unbound nuclei Li-12,Li-13 starting from the one - particle states in Li-10 and two - particle states in Li-11. In the former case the excitations correspond to the motion of three particles partitioned as the product of a one - particle and two - particle systems. The ground state of Li-12 is thus calculated to be an antibound (virtual) state. In the four - particle system Li-13 the states can be constructed as the coupling of two correlated pairs. We found that there is no bound or antibound state in Li-13.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2012. 012029- p.
Series
Journal of Physics: Conference Series, ISSN 1742-6588 ; 338
Keyword [en]
States, Representation
National Category
Subatomic Physics
Research subject
SRA - E-Science (SeRC)
Identifiers
URN: urn:nbn:se:kth:diva-74463DOI: 10.1088/1742-6596/338/1/012029ISI: 000304599800029Scopus ID: 2-s2.0-84859534182OAI: oai:DiVA.org:kth-74463DiVA: diva2:489672
Conference
Advanced Many-Body and Statistical Methods in Mesoscopic Systems; Constanta; 27 June 2011 through 2 July 2011
Funder
Swedish e‐Science Research Center
Note

QC 20120626

Available from: 2012-02-03 Created: 2012-02-03 Last updated: 2012-10-25Bibliographically approved
In thesis
1. Multistep Shell Model in the Complex Energy Plane
Open this publication in new window or tab >>Multistep Shell Model in the Complex Energy Plane
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis the properties of unbound nuclei like 12,13Li are studiedby extending the multistep shell model to the complex energy plane. Thenuclei 12Li and 13Li are described starting from the one-particle states in 10Liand two-particle states in 11Li. The ground state of 12Li is found to be anantibound state. No bound or antibound state is found in 13Li. It is alsoshown that the odd proton plays a minor role in these nuclei.This framework is also applied to study the recently proposed spin-alignedproton-neutron pair coupling scheme. For this the MSM is extended to theproton-neutron space as well as the isospin space. In the model, a nonorthogonalbasis is introduced, which allows us to identify simultaneously theroles played by all configurations. The four-particle, six-particle and eightparticlenuclei in the heaviest N = Z region are evaluated using the MSMbasis within the space spanned by the single 0g9/2 hole shell.A novel Monte Carlo representation in the complex energy plane is alsodeveloped for studying nuclear excitations in the continuum. The calculationson realistic potentials show a stable performance and high accuracy in the oneparticleand two-particle cases. This will provide a convenient tool to studyopen systems with many nucleons in the continuum.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2012. ix, 81 p.
Series
Trita-FYS, ISSN 0280-316X ; 2012:81
National Category
Subatomic Physics
Identifiers
urn:nbn:se:kth:diva-103867 (URN)978-91-7501-524-8 (ISBN)
Public defence
2012-11-15, FA32, AlbaNova Universitetscentrum, Roslagstullsbacken 21, Stockholm, 13:00 (English)
Opponent
Supervisors
Note

QC 20121025

Available from: 2012-10-25 Created: 2012-10-23 Last updated: 2012-11-26Bibliographically approved

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