Accession Number : AD0613223

Title :   BINDING ENERGY OF A LAMBDA-PARTICLE IN NUCLEAR MATTER AND THE LAMBDA-NUCLEON INTERACTION,

Corporate Author : COLORADO UNIV BOULDER

Personal Author(s) : Downs,B. W. ; Ware,W. E.

Report Date : 16 AUG 1963

Pagination or Media Count : 9

Abstract : The binding energy D of a lambda-particle in nuclear matter is calculated with the independent-pair approximation for seven central two-body lambda-nucleon potentials. These potentials are consistent with the binding energy of lambda He5 and therefore represent the spin-averaged lambda-nucleon interaction in S states; they have hard cores of radius 0.4 F or 0.6 F and two-parameter attractive wells with ranges suggested by consideration of the two-pion-exchange mechanism. A simple approximation to the Bethe-Goldstone function is suggested; its use permits D and the partial-wave contributions to D to be evaluated easily. When the S-wave lambda-nucleon potentials are assumed to be appropriate to all angular momentum states, the calculated values of D, corresponding to a nucleon density equal to the central density in heavy nuclei, are consistent with empirical estimates in the range 30-40 MeV for most of the potentials considered. If the correct value of D is close to 30 MeV, some reduction in the strength of the longer ranged potentials may be required in odd-parity states (at least in P states) to bring about agreement; for the shorter ranged potentials considered, no such reduction would be required. If the correct value of D is close to 40 MeV, odd-parity suppression would not be indicated even for the longer ranged potentials. The first three partial-wave contributions to D, as well as D itself, are given for each potential, and the dependence of these on the hard-core radius and on the shape and range of the attractive well is discussed. (Author)

Descriptors :   (*HYPERONS, NUCLEAR BINDING ENERGY), (*NUCLEONS, HYPERONS), (*NUCLEAR BINDING ENERGY, HYPERONS), NUCLEAR MODELS, PARITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE