Coupled-rearrangement-channel Gaussian-basis variational method for trinucleon bound states

Journal Article · Tue Aug 01 00:00:00 EDT 1989 · Physical Review (Section) C: Nuclear Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevC.40.974· OSTI ID:5665403

Kameyama, H; Kamimura, M ^[1]; Fukushima, Y ^[2]

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1. Department of Physics, Kyushu University, Fukuoka 812, Japan (JP)
2. Department of Applied Physics, Fukuoka University, Fukuoka 814, Japan

To the {sup 3}H and {sup 3}He ground states, we apply the coupled-rearrangement-channel variational method with Gaussian-basis functions which has successfully been used in precise calculations of muonic molecular ions, Coulomb-interacting three-body systems. The trinucleon wave function is decomposed into angular-momentum-projected three-body channels as done in the Faddeev equations method, but the interaction is fully incorporated with no partial-wave decomposition. The radial part of the channel amplitudes is expanded with a sufficient number of Gaussian-tail basis functions of the Jacobi coordinates. The Gaussian ranges are taken to be geometrical progressions which run from very short ranges through large enough ones. This {ital ab} {ital initio} variational approach is found to describe accurately both the short-range correlations and the asymptotic behavior. The Argonne {ital V}{sub 14} potential is used as an example of realistic two-nucleon interactions; for {sup 3}He, the Coulomb potential is included nonperturbatively. The calculation reproduces precisely the results of the Faddeev calculations for {sup 3}H and {sup 3}He for binding energy, probabilities of the {ital S}, {ital S}{prime}, {ital P}, and {ital D} states, and the {ital S}- and {ital D}-wave asymptotic normalization constants. Convergence of the present results is seen at a much smaller number of the three-body channels than in the Faddeev calculations. This is because the interaction is truncated in the angular momentum space in the Faddeev calculations but the full interaction is taken in the present method.

• OSTI ID: 5665403
• Journal Information: Physical Review (Section) C: Nuclear Physics; (USA), Vol. 40:2; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
HELIUM
COUPLED CHANNEL THEORY
TRITIUM
BINDING ENERGY
BOUND STATE
COULOMB FIELD
D WAVES
FADDEEV EQUATIONS
GAUSSIAN PROCESSES
NUCLEON-NUCLEON POTENTIAL
PROBABILITY
S WAVES
THREE-BODY PROBLEM
VARIATIONAL METHODS
WAVE FUNCTIONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
ELECTRIC FIELDS
ELEMENTS
ENERGY
EQUATIONS
FLUIDS
FUNCTIONS
GASES
HYDROGEN ISOTOPES
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
NONMETALS
NUCLEI
ODD-EVEN NUCLEI
PARTIAL WAVES
POTENTIALS
RADIOISOTOPES
RARE GASES
YEARS LIVING RADIOISOTOPES
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models