Variational Monte Carlo calculations for the binding energy of sub. Lambda. Lambda. sup 31 Si

Journal Article · Tue Jan 01 00:00:00 EST 1991 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.43.146· OSTI ID:6149529

Ahsan, M H ^[1]; Kaykobad, M ^[2]; Ali, S ^[3]

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1. Institute of Nuclear Science and Technology, Atomic Energy Research Establishment, P.O. Box 3787, Dhaka 1000, (Bangladesh)
2. Institute of Computer Science, Atomic Energy Research Establishment, P.O. Box 3787, Dhaka 1000, (Bangladesh)
3. Physics Department, University of Dhaka, Dhaka 1000, (Bangladesh)

The binding energy of the {Lambda}{Lambda} hypernucleus {sub {Lambda}{Lambda}}{sup 31}Si has been calculated variationally with a {sup 28}Si+{ital n}+{Lambda}+{Lambda} four-body model. The integrations have been carried out with the help of a Monte Carlo technique. Three different types of {Lambda}-{Lambda} and {Lambda}-{ital N} potentials have been used. {ital n}-{sup 28}Si and {Lambda}-{sup 28}Si potentials have been generated by folding the {ital N}-{ital N} and {Lambda}-{ital N} potentials into the harmonic-oscillator shell-model density distribution of {sup 28}Si. The calculated values of the binding energy for the three different potentials are 40.19, 46.30, and 39.90 MeV. These values are compared with the reported experimental value of 38.2{plus minus}6.3 MeV. The dependence of the binding energy on the depth of the {Lambda}-{Lambda} interaction has also been investigated.

• OSTI ID: 6149529
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Vol. 43:1; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
HYPERNUCLEI
BINDING ENERGY
SILICON 31
CORRELATION FUNCTIONS
FOUR-BODY PROBLEM
HAMILTONIANS
HARMONIC OSCILLATOR MODELS
MONTE CARLO METHOD
NEUTRONS
PROBABILITY
SHELL MODELS
VARIATIONAL METHODS
WAVE FUNCTIONS
BARYONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
ELEMENTARY PARTICLES
ENERGY
EVEN-ODD NUCLEI
FERMIONS
FUNCTIONS
HADRONS
HOURS LIVING RADIOISOTOPES
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR FRAGMENTS
NUCLEAR MODELS
NUCLEI
NUCLEONS
QUANTUM OPERATORS
RADIOISOTOPES
SILICON ISOTOPES
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models