A generalized Bethe-Weizsaecker mass formula for strange hadronic matter

Technical Report · Tue Dec 01 04:00:00 EST 1992

OSTI ID:6550303

Dover, C B ^[1]; Gal, A ^[2]

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1. Brookhaven National Lab., Upton, NY (United States) Washington Univ., Seattle, WA (United States). Inst. for Nuclear Theory
2. Hebrew Univ., Jerusalem (Israel) Washington Univ., Seattle, WA (United States). Inst. for Nuclear Theory

The Bethe-Weizsaecker nuclear mass formula is extended to strange hadronic matter composed of nucleons, lambdas and cascade hyperons. The generalized formula contains several volume and symmetry terms constrained by phenomenologically determined [lambda]-nuclear, [xi]-nuclear and [lambda][lambda] interaction parameters and by hyperon-hyperon ([lambda][lambda], [lambda][xi], [xi][xi]) interaction parameters suggested by One-Boson-Exchange models. We find that hypernuclei are generally unstable to [lambda][lambda] [yields] [xi]N conversion. For strange hadronic matter, as function of the baryon number A, the line of strong-interaction stability, along which a large strangeness fraction [vert bar]S[vert bar]/A [approx] 0.5 - 1.1 and a low charge fraction q/A [approx lt] 0.2 hold, and no fission occurs, is determined. The binding energy per baryon increases monotonically to its bulk limit, B/A [yields] 38 MeV, [vert bar]S[vert bar]/A [yields] 1.1 and q/A [yields] 0 for the parameters adopted here assuming that the hyperon species saturate at densities similar to those of protons and neutrons in nuclei. Even in the extreme limit of vanishingly small hyperon-hyperon interaction strengths, strange hadronic matter with B/A [yields] 15 MeV, [vert bar]S[vert bar]/A [yields] 0.7 and q/A [yields] 0 in the bulk limit should exist; the mass formula reproduces semi-quantitatively recent mean-field calculations which implicitly assumed weak hyperon-hyperon interactions.

• Research Organization: Washington Univ., Seattle, WA (United States). Inst. for Nuclear Theory
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: FG06-90ER40561; AC02-76CH00016
• OSTI ID: 6550303
• Report Number(s): DOE/ER/40561-096; ON: DE93011010
• Country of Publication: United States
• Language: English

Related Subjects

663110* -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
BINDING ENERGY
BOSON-EXCHANGE MODELS
DATA
ELEMENTARY PARTICLES
ENERGY
FERMIONS
HADRONS
HYPERNUCLEI
HYPERONS
INFORMATION
LAMBDA BARYONS
LAMBDA PARTICLES
MASS FORMULAE
MATHEMATICAL MODELS
NUCLEAR FRAGMENTS
NUCLEI
NUMERICAL DATA
OBE MODEL
PARTICLE MODELS
PERIPHERAL MODELS
STRANGE PARTICLES
THEORETICAL DATA
WEIZSAECKER FORMULA
XI BARYONS
XI PARTICLES