# Four-body calculation of the 0/sup +/-1/sup +/ binding energy difference in the A = 4. lambda. hypernuclei

## Abstract

The coupled, two-variable integral equations that determine the /sub ..lambda..//sup 4/He and /sub ..lambda..//sup 4/H ground and first excited states, when the NN and ..lambda..N-..sigma..N interactions are represented by separable potentials, are solved numerically. We find the spin-isospin suppression of the ..lambda..-..sigma.. conversion due to the composite nature of the /sup 3/He, /sup 3/H nuclear cores to be a significant factor in understanding the 0/sup +//sup -/1/sup +/ binding energy difference.

- Authors:

- Publication Date:

- Research Org.:
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

- OSTI Identifier:
- 5544540

- DOE Contract Number:
- FG03-86ER40271

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev. C; (United States)

- Additional Journal Information:
- Journal Volume: 37:2

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; HELIUM 4; HYPERNUCLEI; HYDROGEN 4; BINDING ENERGY; BOUND STATE; CHARGE DISTRIBUTION; FOUR-BODY PROBLEM; HELIUM 3; HYPERON REACTIONS; INTEGRAL EQUATIONS; ISOSPIN; LAMBDA PARTICLES; NUCLEON-NUCLEON INTERACTIONS; PARITY; SIGMA PARTICLES; SPIN; SYMMETRY BREAKING; TRITIUM; TWO-BODY PROBLEM; ANGULAR MOMENTUM; BARYON REACTIONS; BARYON-BARYON INTERACTIONS; BARYONS; BETA DECAY RADIOISOTOPES; BETA-MINUS DECAY RADIOISOTOPES; ELEMENTARY PARTICLES; ENERGY; EQUATIONS; EVEN-EVEN NUCLEI; EVEN-ODD NUCLEI; FERMIONS; HADRON REACTIONS; HADRON-HADRON INTERACTIONS; HADRONS; HELIUM ISOTOPES; HYDROGEN ISOTOPES; HYPERONS; INTERACTIONS; ISOTOPES; LAMBDA BARYONS; LIGHT NUCLEI; MANY-BODY PROBLEM; NUCLEAR FRAGMENTS; NUCLEAR REACTIONS; NUCLEI; ODD-EVEN NUCLEI; ODD-ODD NUCLEI; PARTICLE INTERACTIONS; PARTICLE PROPERTIES; RADIOISOTOPES; STABLE ISOTOPES; STRANGE PARTICLES; YEARS LIVING RADIOISOTOPES; 653001* - Nuclear Theory- Nuclear Structure, Moments, Spin, & Models

### Citation Formats

```
Gibson, B F, and Lehman, D R.
```*Four-body calculation of the 0/sup +/-1/sup +/ binding energy difference in the A = 4. lambda. hypernuclei*. United States: N. p., 1988.
Web. doi:10.1103/PhysRevC.37.679.

```
Gibson, B F, & Lehman, D R.
```*Four-body calculation of the 0/sup +/-1/sup +/ binding energy difference in the A = 4. lambda. hypernuclei*. United States. doi:10.1103/PhysRevC.37.679.

```
Gibson, B F, and Lehman, D R. Mon .
"Four-body calculation of the 0/sup +/-1/sup +/ binding energy difference in the A = 4. lambda. hypernuclei". United States. doi:10.1103/PhysRevC.37.679.
```

```
@article{osti_5544540,
```

title = {Four-body calculation of the 0/sup +/-1/sup +/ binding energy difference in the A = 4. lambda. hypernuclei},

author = {Gibson, B F and Lehman, D R},

abstractNote = {The coupled, two-variable integral equations that determine the /sub ..lambda..//sup 4/He and /sub ..lambda..//sup 4/H ground and first excited states, when the NN and ..lambda..N-..sigma..N interactions are represented by separable potentials, are solved numerically. We find the spin-isospin suppression of the ..lambda..-..sigma.. conversion due to the composite nature of the /sup 3/He, /sup 3/H nuclear cores to be a significant factor in understanding the 0/sup +//sup -/1/sup +/ binding energy difference.},

doi = {10.1103/PhysRevC.37.679},

journal = {Phys. Rev. C; (United States)},

number = ,

volume = 37:2,

place = {United States},

year = {1988},

month = {2}

}

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