Comparison between the Gamow shell model and the cluster-orbital shell model for weakly bound systems

doi:10.1103/PHYSREVC.75.034316

Title: Comparison between the Gamow shell model and the cluster-orbital shell model for weakly bound systems

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Abstract

We study contributions of poles and continua of the single-particle states to the wave function obtained by the cluster-orbital shell model (COSM). The COSM wave function is described in terms of a linear combination of nonorthogonal Gaussian basis sets. We study oxygen and helium isotopes as examples of normal and weakly bound nuclei. In the investigation of the contribution of the single-particle states, we expand the COSM wave function by using an extended completeness relation, which is constructed by the solution of the single-particle Hamiltonian. We use the complex scaling method to obtain the bound, resonant, and continuum states of the Hamiltonian and construct the extended completeness relation. The results are compared with those obtained by the Gamow shell model calculation.

Authors:

Masui, H.; Kato, K.; Ikeda, K. ^[1]; Department of Physics, Faculty of Science, Hokkaido University, Sapporo, 060-0810 ^[2]; Institute of Physical and Chemical Research ^[3]

Information Processing Center, Kitami Institute of Technology, Kitami 090-8507 (Japan)
(Japan)
(RIKEN), Wako, 351-0198 (Japan)

Publication Date:: Thu Mar 15 00:00:00 EDT 2007

OSTI Identifier:: 20995129

Resource Type:: Journal Article

Resource Relation:: Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.75.034316; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CLUSTER MODEL; COMPARATIVE EVALUATIONS; HAMILTONIANS; HELIUM ISOTOPES; MASS NUMBER; NUCLEI; OXYGEN ISOTOPES; PARTICLES; SHELL MODELS; WAVE FUNCTIONS

Citation Formats


                    Masui, H., Kato, K., Ikeda, K., Department of Physics, Faculty of Science, Hokkaido University, Sapporo, 060-0810, and Institute of Physical and Chemical Research. Comparison between the Gamow shell model and the cluster-orbital shell model for weakly bound systems.  United States: N. p., 2007. 
        Web.  doi:10.1103/PHYSREVC.75.034316.

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                    Masui, H., Kato, K., Ikeda, K., Department of Physics, Faculty of Science, Hokkaido University, Sapporo, 060-0810, & Institute of Physical and Chemical Research. Comparison between the Gamow shell model and the cluster-orbital shell model for weakly bound systems.  United States.  doi:10.1103/PHYSREVC.75.034316.

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                    Masui, H., Kato, K., Ikeda, K., Department of Physics, Faculty of Science, Hokkaido University, Sapporo, 060-0810, and Institute of Physical and Chemical Research. Thu .  
        "Comparison between the Gamow shell model and the cluster-orbital shell model for weakly bound systems".  United States.  
        doi:10.1103/PHYSREVC.75.034316.

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@article{osti_20995129,

  title        = {Comparison between the Gamow shell model and the cluster-orbital shell model for weakly bound systems},

  author       = {Masui, H. and Kato, K. and Ikeda, K. and Department of Physics, Faculty of Science, Hokkaido University, Sapporo, 060-0810 and Institute of Physical and Chemical Research},

  abstractNote = {We study contributions of poles and continua of the single-particle states to the wave function obtained by the cluster-orbital shell model (COSM). The COSM wave function is described in terms of a linear combination of nonorthogonal Gaussian basis sets. We study oxygen and helium isotopes as examples of normal and weakly bound nuclei. In the investigation of the contribution of the single-particle states, we expand the COSM wave function by using an extended completeness relation, which is constructed by the solution of the single-particle Hamiltonian. We use the complex scaling method to obtain the bound, resonant, and continuum states of the Hamiltonian and construct the extended completeness relation. The results are compared with those obtained by the Gamow shell model calculation.},

  doi          = {10.1103/PHYSREVC.75.034316},

  journal      = {Physical Review. C, Nuclear Physics},

  number       = 3,

  volume       = 75,

  place        = {United States},

  year         = {Thu Mar 15 00:00:00 EDT 2007},

  month        = {Thu Mar 15 00:00:00 EDT 2007}

}

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DOI: 10.1103/PHYSREVC.75.034316

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