Is sub(Λ)Csup(12*) a strangeness analog state

Strangeness analogue states are coherent superposition of particle-hole states where the particle and neutron hole occupy identical orbits. The possibility of sub(Λ)Csup(12*) state being a strangeness analogue state in the framework of alpha particle model is discussed. C12 in this model using equilateral triangle configuration is discussed with three different N-N potentials; those of Volkov, Gillet and Brink-Boeker. The radius and separation of the alpha clusters are determined knowing the binding energy of C12. The same wave function is taken to describe sub(Λ)Csup(12*) in which one cluster has a Λ-particle in it instead of a nucleon. With this wave-function the Λ-N potential which gives the observed binding energy is calculated. This Λ-N potential is expressed in terms of an equivalent soft potential which has a volume integral about 30% to 50% more than that obtained from the study of light hypernuclei. The idea of strangeness analogue state is thus seen to be consistent with the alpha particle model. (author)