Unitary pole approximation for the Coulomb-plus-Yamaguchi potential and application to a three-body bound-state calculation
Abstract
The unitary pole approximation is used to construct a separable representation for a potential {ital U} which consists of a Coulomb repulsion plus an attractive potential of the Yamaguchi type. The exact bound-state wave function is employed. {ital U} is chosen as the potential which binds the proton in the 1{ital d}{sub 5/2} single-particle orbit in {sup 17}F. Using the separable representation derived for {ital U}, and assuming a separable Yamaguchi potential to describe the 1{ital d}{sub 5/2} neutron in {sup 17}O, the energies and wave functions of the ground state (1{sup +}) and the lowest 0{sup +} state of {sup 18}F are calculated in the core-plus-two-nucleons model solving the Faddeev equations.
- Authors:
-
- Instituto de Fisica da Universidade de Sao Paulo, Caixa Postal 20516, 01498 Sao Paulo (Brazil)
- Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona, 145, 01405 Sao Paulo (Brazil)
- Publication Date:
- OSTI Identifier:
- 5662930
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review, C (Nuclear Physics); (USA)
- Additional Journal Information:
- Journal Volume: 43:6; Journal ID: ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; THREE-BODY PROBLEM; UNITARY POLE APPROXIMATION; BOUND STATE; COULOMB FIELD; ENERGY LEVELS; FADDEEV EQUATIONS; FLUORINE 17; FLUORINE 18; MASS; OXYGEN 17; PARITY; PARTICLE-CORE COUPLING MODEL; PROTONS; S MATRIX; SPIN; WAVE FUNCTIONS; YAMAGUCHI POTENTIAL; ANGULAR MOMENTUM; BARYONS; BETA DECAY RADIOISOTOPES; BETA-PLUS DECAY RADIOISOTOPES; ELECTRIC FIELDS; ELEMENTARY PARTICLES; EQUATIONS; EVEN-ODD NUCLEI; FERMIONS; FLUORINE ISOTOPES; FUNCTIONS; HADRONS; HOURS LIVING RADIOISOTOPES; ISOMERIC TRANSITION ISOTOPES; ISOTOPES; LIGHT NUCLEI; MANY-BODY PROBLEM; MATHEMATICAL MODELS; MATRICES; MINUTES LIVING RADIOISOTOPES; NANOSEC LIVING RADIOISOTOPES; NUCLEAR MODELS; NUCLEI; NUCLEON-NUCLEON POTENTIAL; NUCLEONS; ODD-EVEN NUCLEI; ODD-ODD NUCLEI; OXYGEN ISOTOPES; PARTICLE PROPERTIES; POTENTIALS; RADIOISOTOPES; STABLE ISOTOPES; 653001* - Nuclear Theory- Nuclear Structure, Moments, Spin, & Models
Citation Formats
Ueta, K, and Bund, G W. Unitary pole approximation for the Coulomb-plus-Yamaguchi potential and application to a three-body bound-state calculation. United States: N. p., 1991.
Web. doi:10.1103/PhysRevC.43.2887.
Ueta, K, & Bund, G W. Unitary pole approximation for the Coulomb-plus-Yamaguchi potential and application to a three-body bound-state calculation. United States. https://doi.org/10.1103/PhysRevC.43.2887
Ueta, K, and Bund, G W. 1991.
"Unitary pole approximation for the Coulomb-plus-Yamaguchi potential and application to a three-body bound-state calculation". United States. https://doi.org/10.1103/PhysRevC.43.2887.
@article{osti_5662930,
title = {Unitary pole approximation for the Coulomb-plus-Yamaguchi potential and application to a three-body bound-state calculation},
author = {Ueta, K and Bund, G W},
abstractNote = {The unitary pole approximation is used to construct a separable representation for a potential {ital U} which consists of a Coulomb repulsion plus an attractive potential of the Yamaguchi type. The exact bound-state wave function is employed. {ital U} is chosen as the potential which binds the proton in the 1{ital d}{sub 5/2} single-particle orbit in {sup 17}F. Using the separable representation derived for {ital U}, and assuming a separable Yamaguchi potential to describe the 1{ital d}{sub 5/2} neutron in {sup 17}O, the energies and wave functions of the ground state (1{sup +}) and the lowest 0{sup +} state of {sup 18}F are calculated in the core-plus-two-nucleons model solving the Faddeev equations.},
doi = {10.1103/PhysRevC.43.2887},
url = {https://www.osti.gov/biblio/5662930},
journal = {Physical Review, C (Nuclear Physics); (USA)},
issn = {0556-2813},
number = ,
volume = 43:6,
place = {United States},
year = {Sat Jun 01 00:00:00 EDT 1991},
month = {Sat Jun 01 00:00:00 EDT 1991}
}
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