1p shell hypernuclei deformation and Majorana exchange binding energy effects

doi:10.1016/0370-2693(69)90486-9

Physics Letters B

Volume 30, Issue 5, 27 October 1969, Pages 303-305

https://doi.org/10.1016/0370-2693(69)90486-9 Get rights and content

Abstract

The Λ binding energy is reduced in 1p shell hypernuclei by taking deformation into account. The binding also can be reduced by increasing the Majorana exchange component of the ΛN force but this reduces the deformation effect.

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Cited by (14)

Self-consistent calculations of hypernuclear properties with the Skyrme interaction
1976, Annals of Physics
An extension of the Skyrme-Hartree-Fock formalism is proposed for calculating Λ binding energies (B_Λ) in hypernuclei throughout the periodic table. The calculation includes the self-consistent nuclear polarization by the Λ hyperon. Realistic estimates for ground state B_Λ's are obtained with a simple effective ΛN force and are compared with a Λ-nucleus potential model. The Λ particle excitation spectra have also been calculated. They are discussed in the context of strangeness analog state formation and the emphasis is put on the symmetry between Λ and nuclear states.
Hypernuclear binding energies in the α-particle model
1973, Nuclear Physics, Section B
The binding energies B_Λ for the hypernuclei with baryon number A = 4N + 1 up to_Λ²⁵Mg have been calculated by the variational method in the framework of Brink's α-particle model. The central ΛN potential is adjusted to the binding energy of_Λ⁵He. Due to their strong dependence on the nuclear density, the B_Λ energies are very sensitive to the choice of the effective nuclear interaction and have reasonable values for large A with the potential B1 of Brink and Boeker. The comparison with the B_Λ values obtained in the limiting shell model and the consideration of two different Λ-particle wave functions both indicate that the effect of nuclear clustering on B_Λ is significant only for_Λ⁹Be and_Λ¹³C. The nuclear distortion due to the Λ-particle binding is also evaluated in this calculation.
Analysis of the p- and s-d-shell Λ-hypernuclei
1972, Physics Letters B
A microscopic approach to Λ<sup>9</sup>Be
1972, Nuclear Physics, Section B
The binding energy of the hypernucleus Λ⁹Be is calculated by the variation principle with a determinantal single particle wave function which exhibits the α-α-Λ structure of Λ⁹Be. Effective N-N forces are used and an effective Λ-N force is determined from the Λ⁵He binding energy. Size and shape polarization of the α particles is determined by the variational procedure. Two orbitals of opposite parity are considered for the Λ particle. Their energies are discussed as well as the nuclear distortions induced by the Λ particle.
The effect of density dependent N-N forces on 1p shell hypernuclei binding energies
1970, Physics Letters B
Core nucleus dynamics in Λ hypernuclei
2009, International Journal of Modern Physics E

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^∗: Work partially supported by the National Research Council.

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1p shell hypernuclei deformation and Majorana exchange binding energy effects

Abstract

Nucl. Phys.

Phys. Letters

Nucl. Phys.

Nucl. Phys.