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By employing separable potentials for the binary, i.e., n-n and n-core subsystems, we compute the threebody integral equations to solve for the 2n-separation energies in the ground and excited states of halo nuclei like 19 B, 22 C, and 20 C. We show through numerical analysis and also from analytical considerations that Borromean-type halo nuclei like 19 B and 22 C, where n-n and n-core are both unbound, are much less vulnerable to respond to the existence of the Efimov effect. On the contrary, those nuclei, like 20 C in which the halo neutron is supposed to be in the intruder low lying bound state with the core, appear to be the promising candidates to search for the occurrence of Efimov states at energies below the n-(nc) breakup threshold which can be within the experimental limits to measure.

Chemical separation and speciation are two fundamental processes that have ushered significant advances in biological and material world. The underlying principles for most innovative separations involve molecular recognition and its subsequent translation to methodologies for detection and separation. Recent advances in the field have demonstrated that calix[n]arenes are attractive sensor materials for recognition of metal ions and small molecules and they can be employed for designing novel molecular filters. An overview of related work on the synthesis and evaluation of calixarene based molecular receptors is presented.

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