### ANALYSIS OF THE $lambda$-HYPERNUCLEAR THREE-BODY SYSTEMSANALYSIS OF THE $lambda$-HYPERNUCLEAR THREE-BODY SYSTEMS

Access Restriction
Open

 Author Downs, B. W. ♦ Dalitz, R. H. Source United States Department of Energy Office of Scientific and Technical Information Content type Text Language English
 Subject Keyword PHYSICS AND MATHEMATICS ♦ BINDING ENERGY ♦ HELIUM 5 ♦ HYPERFRAGMENTS ♦ INTERACTIONS ♦ LAMBDA PARTICLES ♦ NEUTRONS ♦ NUCLEAR THEORY ♦ NUCLEONS ♦ NUMERICALS ♦ PARTICLE MODELS ♦ PIONS ♦ SPIN ♦ TRITONS Abstract An analysis of the LAMBDA -hypernuclear three-body systems is made by a variational method with a six-parameter trial function. An upper bound for the strength of the LAMBDA -nucleon interaction required to account for the observed binding of the T = 0 hypentriton LAMBDA H/sup 3/ is obtained. This upper bound is 10--20% (depending upon the value taken for the binding energy) lower than the previous estimate by the same authors. An improved quantitative estimate of the spin dependence of the A-nucleon interaction (neglecting the possible influence of three-body forces) is obtained from the results of this analysis and those of a previous analysis of /sub LAMBDA /He/sup 5/ from this estimate it follows that the existence of a bound LAMBDA -nucleon system is strongly excluded. The analysis of the T = l triplet ese systems are not expected to form bound states. It appears that the essential conclusions of this work would not be seriously affected if there exist moderately strong three-body forces arising from pion exchange processes. (auth) ISSN 0031899X Educational Use Research Learning Resource Type Article Publisher Date 1959-04-15 Publisher Department Cornell Univ., Ithaca, N.Y. ♦ Univ. of Chicago Journal Physical Review Volume Number 114 Organization Cornell Univ., Ithaca, N.Y. ♦ Univ. of Chicago