Effects of symmetry breaking on the strong and electroweak interactions of the vector nonet

Harada, Masayasu; Schechter, J.

doi:10.1103/physrevd.54.3394

Cited by 49 publications

(52 citation statements)

References 39 publications

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“…This is a reasonable numerical approximation which is essentially stable to the addition of symmetry breakers [10,19] and we employ it here by neglecting the last term in Eq. (2.3).…”

Section: #1mentioning

confidence: 99%

Chiral approach to phi radiative decays

2006

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The radiative decays of the phi meson are known to be a good source of information about the a 0 (980) and f 0 (980) scalar mesons. We discuss these decays starting from a non-linear model Lagrangian which maintains the (broken) chiral symmetry for the pseudoscalar (P), scalar (S) and vector (V) nonets involved. The characteristic feature is derivative coupling for the SPP interaction. In an initial approximation which models all the scalar nonet radiative processes together with the help of a point like vertex, it is noted that the derivative coupling prevents the a 0 and f 0 resonance peaks from getting washed out (by falling phase space). However, the shapes of the invariant two final PP mass distributions do not agree well with the experimental ones. For improving the situation we verify that inclusion of the charged K meson loop diagrams in the model does reproduce the experimental spectrum shapes in the resonance region.The derivative coupling introduces quadratic as well as logarithmic divergences in this calculation. Using dimensional regularization we show in detail that these divergences actually cancel out among the four diagrams, as expected from gauge invariance. We point out the features which are expected to be important for further work on this model and for learning more about the puzzling scalar mesons.

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“…This is a reasonable numerical approximation which is essentially stable to the addition of symmetry breakers [10,19] and we employ it here by neglecting the last term in Eq. (2.3).…”

Section: #1mentioning

confidence: 99%

Chiral approach to phi radiative decays

2006

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“…Then the decay width is given 26) where Π φρ denotes the φ-ρ mixing given by 27) withp π (X) being the three-momentum of pion in the rest frame of the decaying particle…”

Section: #11mentioning

confidence: 99%

Chiral doubling of heavy-light hadrons and the vector manifestation of hidden local symmetry

2004

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Starting with a hidden local symmetry Lagrangian at the vector manifestation (VM) fixed point that incorporates heavy-quark symmetry and matching the bare theory to QCD, we calculate the splitting of chiral doublers of heavy-light mesons proposed by Nowak, Rho and Zahed [1] and Bardeen and Hill [2]. We show, in the three-flavor chiral limit, that the splitting is directly proportional to the light-quark condensate qq and comes out to be ∼ 1 3 m N where m N is the nucleon mass, implying that the splitting vanishes in the chiral limit at the chiral restoration point -temperature T c , density n c or number of flavors N c F . The result turns out to be surprisingly simple with the vector (ρ) meson playing the crucial role in quantum corrections, pointing to the relevance of the VM to QCD in the way chiral symmetry is manifested in hadronic matter. We also make predictions on the hadronic decay processes of the excited heavy (charm) -light mesonsD.

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“…The reader may consult ref [141] for a very recent and elaborate study of symmetry breaking in the meson sector. Introducing, for convenience…”

Section: The Vector Meson Lagrangianmentioning

confidence: 99%

Baryons as Three-Flavor Solitons

Weigel

1996

Int. J. Mod. Phys. A

139

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The description of baryons as soliton solutions of effective meson theories for three flavor (up, down, strange) degrees of freedom is reviewed and the phenomenological implications are illuminated. In the collective approach the soliton configuration is equipped with baryon quantum numbers by canonical quantization of the coordinates describing the flavor orientation. The baryon spectrum resulting from exact diagonalization of the collective Hamiltonian is discussed. The prediction of static properties such as the baryon magnetic moments and the Cabibbo matrix elements for semi-leptonic hyperon decays are explored with regard to the influence of flavor symmetry breaking. In particular, the role of strange degrees of freedom in the nucleon is investigated for both the vector and axial-vector current matrix elements. The latter are discussed extensively within in the context of the proton spin puzzle. The influence of flavor symmetry breaking on the shape of the soliton is examined and observed to cause significant deviations from flavor covariant predictions on the baryon magnetic moments. Short range effects are incorporated by a chiral invariant inclusion of vector meson fields. These extensions are necessary to properly describe the singlet axial-vector current and the neutron proton mass difference. The effects of the vector meson excitations on baryon properties are also considered. The bound state description of hyperons and its generalization to baryons containing a heavy quark are illustrated. In the case of the Skyrme model a comparison is performed between the collective quantization scheme and bound state approach. Finally, the Nambu-Jona-Lasinio model is employed to demonstrate that hyperons can be described as solitons in a microscopic theory of the quark flavor dynamics. This is explained for both the collective and the bound state approaches to strangeness.2

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Effects of symmetry breaking on the strong and electroweak interactions of the vector nonet

Cited by 49 publications

References 39 publications

Chiral approach to phi radiative decays

Chiral approach to phi radiative decays

Chiral doubling of heavy-light hadrons and the vector manifestation of hidden local symmetry

Baryons as Three-Flavor Solitons

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