Unitary pole approximation for the Coulomb-plus-Yamaguchi potential and application to a three-body bound-state calculation

Journal Article · Sat Jun 01 00:00:00 EDT 1991 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.43.2887· OSTI ID:5662930

Ueta, K ^[1]; Bund, G W ^[2]

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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)

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.

• OSTI ID: 5662930
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Vol. 43:6; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

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