Summary
The existence of a reciprocal bootstrap between baryon resonance decuplet withJ=3/2± and baryon octet withJ=1/2± is investigated in the exactSU(3) symmetry scheme. It is shown that the selfconsistency equations are satisfied approximately if the parameter a, related to thed tof coupling ratio, lies in the range 0.5 ≲ α ≲ 0.8.
Riassunto
Si studia, nello schema esatto della simmetriaSU(3), l’esistenza di un ≪ bootstrap ≫ reciproco fra il decupletto di risonanza barionica conJ=3/2+ e l’ottetto barionico conJ=1/2+-. Si dimostra che le equazioni di autocoerenza sono soddisfatte se il parametro α, che si riferisce al rapporto di accoppiamentod conf, sta nell’intervallo 0.5≲a≲0.8.
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E. Cutkosky: reference (4)
R. Cutkosky: reference (4)
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On leave from Tata Institute of Fundamental Research, Bombay.
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Singh, V. Generalization of the reciprocal bootstrap mechanism between nucleon and (3, 3) π-N isobar to theSU(3) octet symmetry model. Nuovo Cim 33, 763–768 (1964). https://doi.org/10.1007/BF02749893
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DOI: https://doi.org/10.1007/BF02749893