Summary
The interaction energy in (jj) coupling for a configuration consisting of one and two groups of equivalent particles is calculated, without the use of the coefficients of fractional parentage, as a linear combination of terms appearing in a two-particle configuration. It is shown that the coefficients in the linear expansion are products of vectorrecoupling coefficients. Configurations containing one and two groups of equivalent particles are discussed.
Riassunto
Si calcola l’energia di interazione nell’accoppiamento (jj) per una configurazione consistente di uno e due gruppi di particelle equivalents senza far uso dei coefficienti di derivazione frazionale, come combinazione di termini che compaiono in una configurazione di due particelle. Si dimostra che i coefficienti dello sviluppo lineare sono prodotti dei coefficienti vettoriali di riaccoppiamento. Si discutono le configurazioni contenenti uno e due gruppi di particelle equivalenti.
Similar content being viewed by others
References
G. Racah:Phys. Rev.,63, 367 (1943).
G. Racah:L. Farkas Memorial Volume (Research Council of Israel Publications, Jerusalem), pp. 294–304.
S. Goldstein andI. Talmi:Phys. Rev.,107, 995 (1957).
I. Talmi andI. Unna:Ann. Rev. of Nucl. Phys.,10, 353 (1960).
A. R. Edmonds andB. H. Flowers:Proc. Roy. Soc., A214, 515 (1952).
A. R. Edmonds andB. H. Fxowers:Proc. Roy. Soc., A215, 120 (1952).
C. Schwartz andA. de Shalit:Phys, Rev.,94, 1257 (1954).
P. J. Redmond:Proc. Roy. Soc. (London), A222, 84 (1953).
D. Sperber:Nuovo Cimento,28, 1024 (1963).
U. Fano andG. Racach:Irreducible Tensorial Sets (New York, 1959).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sperber, D. Interaction energy in a configuration of several groups of many equivalent particles. Nuovo Cim 28, 1037–1048 (1963). https://doi.org/10.1007/BF02782031
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02782031