Summary
We calculate the nonstrange baryonic masses using the mass formula proposed earlier and compare them with all available experimental numbers. The agreement is excellent for then=0 andn=1 radial modes, and is quite good for then=2 multiplets. The observed masses which may belong to then=3 andn=4 states seem to favor a mass formula in which the mass squared is linear in the radial quantum number.
Riassunto
Si calcolano le masse dei barioni non strani usando la formula delle masse già proposta precedentemente e si paragonano con tutti i valori sperimentali disponibili. Si trova un eccellente accordo per i modi radialin=0 en=1, e un accordo abbastanza buono per i multiplettin=2. Sembra che le masse osservate che possono appartenere agli statin=3 en=4 favoriscano una formula della masse in cui il quadrato della massa sia lineare nel numero quantico radiale.
Резюме
Мы вычисляем массы нестранных барионов, используя массовую формулу, предложенную ранее, и сравниваем полученные массы со всеми имеющимися экспериментальными значениями. Согласие оказывается превошходным для радиальных модn=0 иn=1, и вполне хорошим для мультиплетовn=2. Наблюденные массы, которые могут относиться к состояниямn=3 иn=4, по-видимому, отдают предпочтение массовой формуле, в которой квадраты масс линейно зависят от радиального квантового числа.
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References
Y. S. Kim andM. E. Noz:Nuovo Cimento,11 A, 513 (1972).
It wasDalitz who first conjectured that the Roper resonance is a radial excitation of the nucleon. SeeR. H. Dalitz: inProceedings of the International Conference on Symmetries and Quark Model (New York, 1970), p. 20.
Since we sent in our previous paper (1) for publication, at least two major review papers appeared. SeeC. Lovelace: inProceedings of the NAL-Chicago Conference on High-Energy Physics (September 1972). See also ref. (4).
Particle Data Group:Rev. Mod. Phys.,45, No. 2, Part II (1973).
Y. S. Kim andM. E. Noz: University of Maryland Technical Report No. 73-088 and No. 73-118 (1973).
The nameSU 6 ×O 3 was first used byGreenberg andResnikoff. SeeO. W. Greenberg andM. Resnikoff:Phys. Rev.,163, 1844 (1967).
Feynman et al., however, use both then andL quantum numbers. SeeR. P. Feynman, M. Kislinger andF. Ravndal:Phys. Rev. D,3, 2706 (1971).
J. A. Shapiro:Ann. of Phys.,43, 439 (1968).
T. De, Y. S. Kim andM. E. Noz:Nuovo Cimento,13 A, 1089 (1973).
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Supported in part by the University of Maryland General Research Board and in part by the National Science Foundation under Grant No. NSF GP 8784.
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Kim, Y.S., Noz, M.E. Radial excitations in the symmetric quark model. — II. Nuov Cim A 19, 657–666 (1974). https://doi.org/10.1007/BF02813412
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DOI: https://doi.org/10.1007/BF02813412