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Title: 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:
 [1];  [2]
  1. Instituto de Fisica da Universidade de Sao Paulo, Caixa Postal 20516, 01498 Sao Paulo (Brazil)
  2. 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}
}