The generator coordinate method as an approximation to the exact diagonalization in a given model space |
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| Authors: | N Mankoč-borštnik MV Mihailović M Rosina |
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| Institution: | Faculty of Natural Sciences and Technology and J. Stefan Institute, University of Ljubljana, Ljubljana, Yugoslavia;Department of Theoretical Physics, University of Oxford, 12 Parks Road, Oxford OX13PQ, UK;Faculty of Natural Sciences and Technology and J. Stefan Institute, University of Ljubljana, Ljubljana, Yugoslavia |
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| Abstract: | The low-lying states of the nuclei 16O and 20Ne are calculated with the generator coordinate method. For 16O two generator coordinates are used, which are related to the quadrupole and to the octupole deformation of the single-particle potential. For 20Ne the generator coordinates are related to the parameters β and D of the Nilsson potential. In both cases six pairs of coordinate values are chosen. The results are compared with those of the complete diagonalization. The agreement is, for both cases, better than 0.5 MeV for most low-lying states. |
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