# Accession Number:

## AD0613223

# Title:

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

# Descriptive Note:

# Corporate Author:

## COLORADO UNIV BOULDER

# Personal Author(s):

# Report Date:

## 1963-08-16

# Pagination or Media Count:

## 9.0

# 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