A fit of baryon decay rates within SU(3)

Plane, D. E.; Baillon, P.; Bricman, C.; Ferro‐Luzzi, M.; Meyer, J.; Pagiola, E.; Schmitz, N.; Burkhardt, E. G.; Filthuth, H.; Kluge, E.-E.; Oberlack, H.; Barloutaud, R.; Granet, P.; Porte, J. P.; Prevost, J.

doi:10.1016/0550-3213(70)90215-4

Cited by 57 publications

(9 citation statements)

References 19 publications

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“…They are correlated by the chiral SU(3) symmetry only. With (15) it is straightforward to map the interaction terms (38), which all break the SU(3) symmetry linearly, onto the chiral vertices of (33) and (34). This procedure relates the parameters c i andc i .…”

Section: Explicit Chiral Symmetry Breakingmentioning

confidence: 99%

“…Our detailed analysis reveals that the parameter Z [10] is relevant already at order Q 2 if a simultaneous chiral analysis of the pion-nucleon and kaon-nucleon scattering processes is performed. The resonance parameters may be estimated by an update of the analysis [38]. That leads to the values F [9] ≃ 1.8, D [9] ≃ 0.84 and C [9] ≃ 2.5.…”

Section: Introductionmentioning

confidence: 99%

“…where we include the pseudo-scalar meson octet field Φ(J P = 0 − ), the baryon octet field B(J P = − ) (see [36][37][38]). In (1) we introduce an external axial-vector source function A µ which is required for the systematic evaluation of matrix elements of the axial-vector current.…”

Section: Introductionmentioning

confidence: 99%

“…where we allow for singlet-octet mixing by means of the mixing angle ϑ (see [38]). The parameters m o [8] , m o [9] and m o [10] in (7) denote the baryon masses in the chiral SU(3) limit.…”

Section: Introductionmentioning

confidence: 99%

“…The parameter δC 0 ∼c 1 − c 1 and also implicitlyC R (see (37)) probe thec 1 parameter introduced in (38). We emphasize that all c i parameters but c 5 are determined to a large extent by the decay widths of the baryon octet states and alsoc 1 is constrained strongly by the SU(3) symmetrybreaking pattern of the meson-baryon-octet coupling constants (38).…”

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confidence: 99%

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Relativistic chiral SU(3) symmetry, large-Nc sum rules and meson–baryon scattering

Lutz¹,

2002

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The relativistic chiral SU (3) Lagrangian is used to describe kaon-nucleon scattering imposing constraints from the pion-nucleon sector and the axial-vector coupling constants of the baryon octet states. We solve the covariant coupled-channel BetheSalpeter equation with the interaction kernel truncated at chiral order Q 3 where we include only those terms which are leading in the large N c limit of QCD. The baryon decuplet states are an important explicit ingredient in our scheme, because together with the baryon octet states they form the large N c baryon ground states of QCD. Part of our technical developments is a minimal chiral subtraction scheme within dimensional regularization, which leads to a manifest realization of the covariant chiral counting rules. All SU(3) symmetry-breaking effects are well controlled by the combined chiral and large N c expansion, but still found to play a crucial role in understanding the empirical data. We achieve an excellent description of the data set typically up to laboratory momenta of p lab ≃ 500 MeV.

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Section: Explicit Chiral Symmetry Breakingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%