Fully Coupled Channel Approach to Doubly Strange s-Shell Hypernuclei

Journal Article · Fri May 27 00:00:00 EDT 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.94.202502· OSTI ID:20696304

Nemura, H ^[1]; Shinmura, S ^[2]; Akaishi, Y ^[3]; Myint, Khin Swe ^[4]

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1. Institute of Particle and Nuclear Studies, KEK, Tsukuba 305-0801 (Japan)
2. Department of Information Science, Gifu University, Gifu 501-1193 (Japan)
3. College of Science and Technology, Nihon University, Funabashi 274-8501 (Japan)
4. Department of Physics, Mandalay University, Mandalay (Myanmar)

We describe ab initio calculations of doubly strange, S=-2, s-shell hypernuclei ({sub {lambda}}{sub {lambda}}{sup 4}H, {sub {lambda}}{sub {lambda}}{sup 5}H, {sub {lambda}}{sub {lambda}}{sup 5}He, and {sub {lambda}}{sub {lambda}}{sup 6}He) as a first attempt to explore the few-body problem of the full-coupled channel scheme for these systems. The wave function includes {lambda}{lambda}, {lambda}{sigma}, N{xi}, and {sigma}{sigma} channels. Minnesota NN, D2{sup '} YN, and simulated YY potentials based on the Nijmegen hard-core model are used. Bound-state solutions of these systems are obtained. We find that a set of phenomenological B{sub 8}B{sub 8} interactions among the octet baryons in S=0,-1, and -2 sectors, which is consistent with all of the available experimental binding energies of S=0,-1, and -2 s-shell (hyper)nuclei, can predict a particle stable bound state of {sub {lambda}}{sub {lambda}}{sup 4}H. For {sub {lambda}}{sub {lambda}}{sup 5}H and {sub {lambda}}{sub {lambda}}{sup 5}He, {lambda}N-{sigma}N and {xi}N-{lambda}{sigma} potentials significantly affect the net {lambda}{lambda}-N{xi} coupling, and a large {xi} probability is obtained even for a weaker {lambda}{lambda}-N{xi} potential.

• OSTI ID: 20696304
• Journal Information: Physical Review Letters, Vol. 94, Issue 20; Other Information: DOI: 10.1103/PhysRevLett.94.202502; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
BOUND STATE
COUPLED CHANNEL THEORY
HELIUM 5
HELIUM 6
HYDROGEN 4
HYDROGEN 5
HYPERNUCLEI
LAMBDA BARYONS
MATHEMATICAL SOLUTIONS
NUCLEAR POTENTIAL
NUCLEON-HYPERON INTERACTIONS
NUCLEON-NUCLEON INTERACTIONS
PROBABILITY
SHELL MODELS
SIGMA BARYONS
WAVE FUNCTIONS
XI BARYONS