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Becchi, C.; Eberle, E.G.; Morpurgo, G.

doi:10.1103/physrev.136.b808

Phys. Rev.

1964

DOI: 10.1103/physrev.136.b808

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Relation among theΞ12*,

C. Becchi

E.G. Eberle

G. Morpurgo

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Cited by 23 publications

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“…These are compared with corresponding potentials extracted from a phenomenological model due to Lassila, Hull, Ruppel, McDonald, and Breit 2 and a phenomenological model due to Hamada and Johnston. 3 The results show good agreement, particularly in view of the fact that they use only nine adjustable parameters. Purely phenomenological studies of the nucleon-nucleon interaction have gone higher than thirty adjustable parameters.…”

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confidence: 80%

“…In the SU(3)®SU(2) submultiplet of SU(6) these spurions can appear in the representation (1,3), (8,^), (27, .3), etc. The (Ij^)-type spurion corresponds to the completely symmetric interaction in SU(3), and the (8,J3) type to the symmetry-breaking interaction T 3 3 first introduced by Gell-Mann 9 and Okubo. 10 Now we assume that the spurions have the same transformation properties as certain appropriate elements of the adjoint representation (35) of SU (6).…”

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Decay of Baryon Resonances in the Spin and Unitary-Spin Independence Model

Ferrari

Konuma

1965

Phys. Rev. Lett.

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ItalyThere is a relation 1 " 3 between decay widths of the N*(1238), r 1 *(1385), and E*(1530) in the SU(3) model in which a symmetry-breaking interaction is taken into account. In this note, we present relations between these decay widths in the spin and unitary-spin independence model. 4 " 6 Following our previous works, 7 ' 8 we use the traceless tensors M^ and the totally symmetric tensors B x^v (\, \L, v = 1, 2-• • 6), for the field operators of the 35-plet meson and 56plet baryon, respectively. It is possible to write the part of the S matrix for these processes invariants by the introduction of spur ions. The property of these spurions can be determined from the following consideration: As these resonances are of spin § and parity +, the decays occur in P wave. From this and the conservation of isobaric spin and hyper charge, we find that the quantum numbers of the spurions should be 1/1 = 0, F = 0, and IS| = 1. In the SU(3)®SU(2) submultiplet of SU(6) these spurions can appear in the representation (1,3), (8,^), (27, .3), etc. The (Ij^)-type spurion corresponds to the completely symmetric interaction in SU(3), and the (8,J3) type to the symmetry-breaking interaction T 3 3 first introduced by Gell-Mann 9 and Okubo. 10 Now we assume that the spurions have the same transformation properties as certain appropriate elements of the adjoint representation (35) of SU(6). In that case, the (1, 3)-type spurion, 1 , has the same characteristics as the (p meson [SU(3) singlet particle] while the (8,^) type spurion, <£ 8 , has those of the oo meson [a member of the SU (3) octet]. In other words, if we make a product of the tensors which represent these spurions with M^1 which stands for the 35-plet meson operator, we have jLL V = ^1 ! W. + * 0 *>" + *_ w 1 w l ^0 0 r -l -1' 1 and <(>i a represent the ith component (1) where of a vector in ordinary space. The part of the S matrix which is relevant to the decay of these resonances in yielding a baryon and pion can be written in the form 11 S=S 1 +S B , S J =$ JV [a J M t M ot B + c J M B B^+b'M »B R B af * t upy oifiy +d J M * apy (2) 0 = 1,8) in the first-order perturbation of the (8,_3) interaction, where a J , b J , c J , and d^ are invariant amplitudes. Calculating the matrix elements, we have the decay amplitudes in terms of aJ, 378

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confidence: 80%

mentioning

confidence: 99%

Decay of Baryon Resonances in the Spin and Unitary-Spin Independence Model

Ferrari

Konuma

1965

Phys. Rev. Lett.

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“…) representations (e.g interpretation of the S/A branching ratio observed for F f (1385) decay in terms of the admixture of [27] representation with the dominant [10] representation (cf Martin & Wali 1963;. Wali & Warnock 1964;Gupta & Singh 1964;Konuma & Tomozawa 1964;Becchi, Eberle & Morpurgo 1964)). …”

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confidence: 99%

Introductory remarks on the study of the pion-nucleon interaction

Dalitz

1966

Proc. R. Soc. Lond. A

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Our knowledge of the scattering interactions in the pion-nucleon system has been developing rapidly during the past few years. For the π + p and π - p systems, total cross-section measurements have been extended upwards in energy to 20 GeV/c laboratory momentum. As Galbraith will report at this meeting, measurements of high precision have recently been carried out for π + p and π - p total cross-sections between 2·5 and 7GeV/c by Citron et al. (1964,1965) at Brookhaven. From these and earlier data, about ten excited nucleon states have become established, with mass values up to about 3200 MeV. These excited nucleon states are listed in table 1. In the resonance energy range, detailed angular distribution measurements have now been made up to the region of the fifth excited state ( N * 1/2 (2190)), and many of these new measurements will be reported at this meeting. The recent use of polarized proton targets has allowed a very direct means for the systematic and accurate study of the polarization properties of pion-nucleon scattering, and this technique has recently been exploited at the Nimrod accelerator of the Rutherford High Energy Laboratory at Chilton by the Murphy-Thresher group (Atkinson et al. 1966) for the determination of the spin and parity of the third and fourth resonance states, N * 1/2 (1688) and N * 1/2 (1920).

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Coupling constants and mass-shifts in the brokenSU 3-symmetry

Eberle

1966

Nuov Cim A

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Relation among theΞ12*,

Cited by 23 publications

References 6 publications

Decay of Baryon Resonances in the Spin and Unitary-Spin Independence Model

Decay of Baryon Resonances in the Spin and Unitary-Spin Independence Model

Introductory remarks on the study of the pion-nucleon interaction

Coupling constants and mass-shifts in the brokenSU 3-symmetry

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