Abstract
The ground state energies of the 3α system and of theA-α-α system are calculated in the three-cluster fish bone optical model [1], It is found that the three-cluster Pauli potential is very strong in theM-version of the model and weak in the (off-shell transformed)¯M-version. Its influence on theΛ-α-α binding energy and ground state wave function is almost negligible in the¯M-version. The present results indicate that phenomenological three-cluster models with energy-independent two-cluster interactions are not necessarily in contradiction with more microscopic models. It seems to be important, however, to use potentials which contain in their off-shell behaviour both Pauli-principle and saturation character of the nuclear forces.
Similar content being viewed by others
References
Schmid, E.W.: Z. Phys. A — Atoms and Nuclei302, 311 (1981)
Wildermuth, K., Tang, Y.C.: A Unified Theory of the Nucleus. In: Clustering phenomena in nuclei. Vol. 1. Braunschweig: Vieweg 1977
Schmid, E.W.: Phys. Rev. C21, 691 (1980)
Schmid, E.W.: Two- and three-body interactions of composite particles. Preprint 1977 (unpublished)
Zaikin, D.A.: Nucl. Phys. A170, 584 (1971)
Kircher, R., Schmid, E.W.: Z. Phys. A — Atoms and Nuclei299, 241 (1980)
Schmid, E.W., Wildermuth, K.: Nucl. Phys.26, 463 (1961)
Tang, Y.C., Herndon, R.C.: Nuovo Cimento46 B, 117 (1966)
Tobocman, W.: Nucl. Phys. A357, 293 (1981)
Tohsaki-Suzuki, A., Kamimura, M., Ikeda, K.: Prog. Theor. Phys. Suppl.68, 359 (1980)
Akaishi, Y., Schmid, E.W.: (to be published)
Bodmer, A.R., Ali, S.: Nucl. Phys.56, 657 (1964)
Rayet, M.: Nucl. Phys. B38, 387 (1972)
Verma, S.P., Sural, D.P.: Phys. Rev. C20, 781 (1979)
Révai, J., Žofka, J.: Molecular three-body approach to 9Λ Be and 9Σ Be hypernuclei. Preprint 1981
Leeb, H., Oberhummer, H.: Private communication
Author information
Authors and Affiliations
Additional information
One of the authors (Bao Cheng-guang) would like to thank the Alexander von Humboldt Foundation for its support.
Rights and permissions
About this article
Cite this article
Schmid, E.W., Orlowski, M. & Cheng-guang, B. Importance of the three-body Pauli potential in three-cluster systems. Z Physik A 308, 237–241 (1982). https://doi.org/10.1007/BF01418285
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01418285