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Novel Monte Carlo representation for 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
(English)Manuscript (preprint) (Other academic)
Abstract [en]

A Monte Carlo method is presented to evaluate quantum states with many particles moving inthe continuum. The scattering state is generated at each time by a Monte Carlo random samplingalgorithm. The same calculation are repeated until the average energies of all calculations converge.For systems with one and two particles, our calculations show that the exact solution can beapproached with around only one hundred iterations.

National Category
Physical Sciences Subatomic Physics
URN: urn:nbn:se:kth:diva-103757OAI: diva2:561631
Swedish Research Council, 621-2010-4723

QS 2012

Available from: 2012-10-23 Created: 2012-10-19 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.
Trita-FYS, ISSN 0280-316X ; 2012:81
National Category
Subatomic Physics
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)

QC 20121025

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

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