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Title: Spectroscopic factors within an algebraic model and an application to 12C+12C

Abstract

A parameterization of the spectroscopic factor is presented which almost matches the ones obtained via the microscopic SU(3) model of the nucleus. A short introduction of the algebraic model (the Semimicroscopic Algebraic Cluster Model, SACM) is given. The parameterization of the spectroscopic factor is explained, justified and compared, for light nuclei, to the microscopic SU(3) model. The applications concern the calculation of the total fusion cross section of 12C+12C.

Authors:
 [1]; ;  [2]; ;  [3];  [4];  [5]
  1. Instituto de Ciencias Nucleares, UNAM, Circuito Exterior, C.U., A.P. 70-543, 04510 Mexico, D.F., (Mexico)
  2. Departamento del Acelerador, Instituto Nacional de Investigaciones Nucleares, A.P. 18-1027, 11801 Mexico D.F., (Mexico)
  3. Institute of Nuclear Research of the Hungarian Academy of Sciences, Debrecen, Pf. 51, 4001 (Hungary)
  4. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001 (United States)
  5. Universidad Autonoma del Estado de Mexico, C.P. 50000 Toluca (Mexico)
Publication Date:
OSTI Identifier:
21054806
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 884; Journal Issue: 1; Conference: 6. Latin American symposium on nuclear physics and applications, Iguazu (Argentina), 3-7 Oct 2005; Other Information: DOI: 10.1063/1.2710571; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CARBON 12; CARBON 12 REACTIONS; CARBON 12 TARGET; CLUSTER MODEL; HEAVY ION FUSION REACTIONS; QUANTUM FIELD THEORY; SPECTROSCOPIC FACTORS; SU-3 GROUPS; TOTAL CROSS SECTIONS

Citation Formats

Hess, P. O., Aguilera, E. F., Martinez-Quiroz, E., Algora, A., Cseh, J., Draayer, J. P., and Belyaeva, T. L.. Spectroscopic factors within an algebraic model and an application to 12C+12C. United States: N. p., 2007. Web. doi:10.1063/1.2710571.
Hess, P. O., Aguilera, E. F., Martinez-Quiroz, E., Algora, A., Cseh, J., Draayer, J. P., & Belyaeva, T. L.. Spectroscopic factors within an algebraic model and an application to 12C+12C. United States. doi:10.1063/1.2710571.
Hess, P. O., Aguilera, E. F., Martinez-Quiroz, E., Algora, A., Cseh, J., Draayer, J. P., and Belyaeva, T. L.. Mon . "Spectroscopic factors within an algebraic model and an application to 12C+12C". United States. doi:10.1063/1.2710571.
@article{osti_21054806,
title = {Spectroscopic factors within an algebraic model and an application to 12C+12C},
author = {Hess, P. O. and Aguilera, E. F. and Martinez-Quiroz, E. and Algora, A. and Cseh, J. and Draayer, J. P. and Belyaeva, T. L.},
abstractNote = {A parameterization of the spectroscopic factor is presented which almost matches the ones obtained via the microscopic SU(3) model of the nucleus. A short introduction of the algebraic model (the Semimicroscopic Algebraic Cluster Model, SACM) is given. The parameterization of the spectroscopic factor is explained, justified and compared, for light nuclei, to the microscopic SU(3) model. The applications concern the calculation of the total fusion cross section of 12C+12C.},
doi = {10.1063/1.2710571},
journal = {AIP Conference Proceedings},
number = 1,
volume = 884,
place = {United States},
year = {Mon Feb 12 00:00:00 EST 2007},
month = {Mon Feb 12 00:00:00 EST 2007}
}
  • A parametrization of SU(3) shell-model spectroscopic factors for light nuclei is proposed. It is shown that spectroscopic factors, as calculated from first principles, can be reproduced nearly perfectly, including taking full account of the Pauli principle, without recurring to sophisticated microscopic procedures. The results show that microscopic spectroscopic factors follow a surprisingly simple pattern.
  • A parameterization of spectroscopic factors is presented that matches perfectly the ones obtained via the microscopic SU(3) model of the nucleus. The model used is the Semimicroscopic Algebraic Cluster Model (SACM) which includes the Pauli-exclusion principle. The parameterization of the spectroscopic factors is given and applied to the fusion cross section of 12C+12C.
  • A model of the cluster radioactivity of even-even nuclei is presented. In this model, zero-point vibrations in the charge-asymmetry coordinate determine spectroscopic factors, while tunneling in the coordinate of the relative separation of the centers of mass of the cluster and the daughter nucleus determine the penetrability of the barrier of the nucleus-nucleus potential. The conservation of the total spin and energy in the decay process is taken into account. The potential of the model for describing experimental half-lives is demonstrated. A number of predictions for possible cluster-emission reactions in the regions of lead and tin radioactivities are made.
  • For f/sub 7/2/ neutron transfer on /sup 45/Sc the sum rules form a set of 8 equations connecting 16 partial sums of spectroscopic factors for stripping and pick-up to states of different spin. Using existing spin assignments, fits to experimental data enable further spin assignments to be made to states in /sup 44/Sc/ and /sup 46/Sc. The fits are consistent with an accuracy of 4% in relative spectroscopic factors. Tests performed on modified sum rules suggest that the absolute normalizations of the relevant DWBA cross sections are accurate to 10% and that there is not more than 1O% missing singlemore » particle f/sub 7/2/ strength. (auth)« less