Summary
The classification of the 3/2+ baryons in the representation 10 ofSU 3is re-examined in the light of recent evidence for the possible existence of a 3/2+ 27-plet. It is found that the mass formula (« equal spacing rule ») alone is not sufficient to decide whether these baryons belong to a pure unitary decuplet or result from strong 10–27 mixing. Some consequences of this latter scheme are derived, and it is shown in particular that it does not solve the problems related to the widths of the 3/2+ resonances. An experimental test is proposed that could confirm or infirm the 10 assignment independently from the mass formula; the experiment, though difficult, does not look impossible, and seems worth performing, due to its crucial importance for unitary symmetry.
Riassunto
Si riesamina la classificazione dei barioni 3/2+ nella rappresentazione 10 diSU 3alla luce delle prove recenti della possibile esistenza di un 27-pletto 3/2+. Si trova elle la formula delle masse (regola dell’uguale intervallo) da sola non è sufficiente a decidere se questi barioni appartengono ad un decupletto unitario puro o risultano da una forte mescolanza 10–27. Si deducono alcune conseguenze di questo ultimo schema, e si dimostra in particolare che esso non risolve i problemi collegati alle ampiezze delle risonanze 3/2+. Si propone una prova sperimentale che potrebbe confermare od infirmare l’assegnazione 10 indipendentemente dalla formula delle masse; l’esperimento, quantunque difficile non sembra impossibile, sembra anzi meritevole di effettuazione, per la sua importanza cruciale per la simmetria unitaria.
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Diu, B., Rubinstein, H.E. Do the 3/2+ Baryons Belong to the Representation 10 ofSU 3?. Nuovo Cim 37, 1673–1685 (1965). https://doi.org/10.1007/BF02783364
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DOI: https://doi.org/10.1007/BF02783364