About: Matrix diagonalization algorithm and its applicability to the nuclear shell model

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	An importance-sampling iterative algorithm for diagonalizing shell model Hamiltonian matrices is reviewed and implemented in a spin uncoupled basis. Shell model spaces of dimensions up to N {/=10E9 are considered. The analysis shows that about 10% of the basis states are enough to bring the eigenvalues to convergence. This fraction of states, however, is insufficient to lead to convergence of the transition strengths, thereby limiting the applicability of the method to not too large spaces. In its domain of validity, the method yields a large number of eigensolutions and can be usefully adopted for rather complete studies of low-energy spectroscopy. This is done here for 132,134Xe isotopes. The calculation yields spectra and electromagnetic responses in fairly good agreement with the available experimental data and unveils the properties of the low-energy states of these isotopes, including their proton-neutron symmetry. An importance-sampling iterative algorithm for diagonalizing shell model Hamiltonian matrices is reviewed and implemented in a spin uncoupled basis. Shell model spaces of dimensions up to N {/=10E9 are considered. The analysis shows that about 10% of the basis states are enough to bring the eigenvalues to convergence. This fraction of states, however, is insufficient to lead to convergence of the transition strengths, thereby limiting the applicability of the method to not too large spaces. In its domain of validity, the method yields a large number of eigensolutions and can be usefully adopted for rather complete studies of low-energy spectroscopy. This is done here for 132,134Xe isotopes. The calculation yields spectra and electromagnetic responses in fairly good agreement with the available experimental data and unveils the properties of the low-energy states of these isotopes, including their proton-neutron symmetry. (en)
Title	Matrix diagonalization algorithm and its applicability to the nuclear shell model Matrix diagonalization algorithm and its applicability to the nuclear shell model (en)
skos:prefLabel	Matrix diagonalization algorithm and its applicability to the nuclear shell model Matrix diagonalization algorithm and its applicability to the nuclear shell model (en)
skos:notation	RIV/00216208:11320/11:10105364!RIV12-MSM-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM0021620859)
http://linked.open...iv/cisloPeriodika	84
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Knapp, František
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	210964
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/11:10105364
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Nuclear shell model; Matrix diagonalization algorithm (en)
http://linked.open.../riv/klicoveSlovo	Matrix diagonalization algorithm Nuclear shell model
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[8502BB956599]
http://linked.open...i/riv/nazevZdroje	Physical Review C - Nuclear Physics
http://linked.open...in/vavai/riv/obor	BG
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	5 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	2011
http://linked.open...iv/tvurceVysledku	Andreozzi, Francesco Bianco, Davide Knapp, František Lo Iudice, Nicola Porrino, Antonio
http://linked.open...ain/vavai/riv/wos	000293919000001
http://linked.open...n/vavai/riv/zamer	Výzkum vlastností jader a subjaderných částic a jejich interakcí
issn	0556-2813
number of pages	9 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevC.84.024310
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	Matrix diagonalization algorithm and its applicability to the nuclear shell model Matrix diagonalization algorithm and its applicability to the nuclear shell model

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