2000/03/01 by S. Fujii, R. Okamoto, K. Suzuki · 1 citation
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1143/ptp.104.123
published as Prog.Theor.Phys. 104 (2000) 123-141 · LaTeX 19 pages including 7 figures, ptptex.sty is used
arxiv created 2000/03/01 · openalex publication_date 2000/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A method to obtain microscopic descriptions of Λ hypernuclei is formulated in the framework of the unitary-model-operator approach. A unitarily transformed Hamiltonian is introduced and given in a cluster expansion form. The structure of three-body cluster terms are discussed, in particular, with regard to the Λ single-particle energy. The Λ single-particle energies including the three-body cluster contributions are calculated for the 0s1/2, 0p3/2 and 0p1/2 states in Λ17O, and for the 0s1/2, 0p3/2, 0p1/2, 0d5/2, 0d3/2 and 1s1/2 states in Λ41Ca, using the Nijmegen soft-core (NSC), NSC97a-f, and the Jülich à (JÃ) and hyperon-nucleon interactions. It is found that the three-body cluster terms bring about sizable effects in the magnitudes of the Λ single-particle energies, but affect the Λ spin-orbit splittings only little.