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D. Jido

Publications and source records attributed to D. Jido.

83 records · Page 5Linked to original sources

Chiral Symmetry Realization for Even- and Odd-parity Baryon Resonances

Baryon resonances with even and odd parity are collectively investigated from the viewpoint of chiral symmetry(ChS). We propose a quartet scheme where Delta's and N^*'s with even and odd parity form a chiral multiplet. This scheme gives parameter-free constraints on the baryon masses in the quartet, which are consistent with observed masses with spin 1/2, 3/2, 5/2. The scheme also gives selection rules in the one-pion decay: The absence of the parity non-changing decay N(1720) -> pi Delta(1232) is a typical example which should be confirmed experimentally to unravel the role of ChS in baryon resonances.

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Properties of $N^*$(1535) at Finite Density in the Extended Parity-Doublet Models

We improve so called ``naive'' and ``mirror'' models for the positive and negative parity nucleons, $N$ and $N^{*}$, by introducing nonlinear terms allowed by chiral symmetry. Both models in this improvement reproduce the observed nucleon axial charge in free space and reveal interesting density dependence of the axial charges for $N$ and $N^*$, and the doublet masses. A remarkable difference between the two models is found in the off-diagonal axial charge, $g_{ANN^*}$, which could appear either as suppression or as enhancement of $N^* \to πN$ decay in the medium.

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Chiral Symmetry for Positive and Negative Parity Nucleons

Chiral properties of positive and negative parity nucleons, N and N*$, are studied from the viewpoint of chiral symmetry. Two possible ways to assign chiral transformations to the negative parity nucleon are considered. Using linear sigma models based on the two chiral realizations, theoretical as well as phenomenological consequences of the two different assignments are investigated. We find that the nucleon mass in the chiral restored phase is the key quantity to determine the meson-nucleon couplings and the axial charges of nucleons. We also discuss the role of chiral symmetry breaking in the mass splitting of N and N* in the two sigma models.

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Suppression of Pi NN* Coupling and Chiral Symmetry

Meson-baryon couplings between positive and negative parity nucleons are investigated using two point correlation functions in the soft meson and the chiral limit. We find that the pi NN* coupling vanishes due to chiral symmetry, while the eta NN* coupling remains finite. We perform an analysis based on the algebraic method for SU(2) chiral symmetry, and find that nucleon axial charges play an essential role for vanishing coupling constants. For an illustration, we construct sigma models with N and N*, where we discuss their properties from the view point of the chiral symmetry. We also discuss N and N* in the viewpoint of chiral partner.

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Decays of 1/2^- Baryons in Chiral Effective Theory

We construct an $SU(3)_L \times SU(3)_R$ symmetric chiral effective model which includes parity pair baryon fields. It is assumed that the positive and negative parity baryons in the parity pair have opposite chiral transformation properties each other. Using this model, strong decays of the negative parity baryons are studied up to the order of one-loop corrections. The results agree qualitatively with experiment in the $π$ and $K$ channels. We examine how the model parameters are determined from the decay widths and study their physical meanings. Possibilities to build other models and relations to the correlation function analysis are discussed.

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Suppression of PiNN* Coupling and Chiral Symmetry

Meson-baryon couplings between positive and negative parity baryons are investigated using two point correlation functions in the soft meson limit. We find that the pi NN^* coupling vanishes due to chiral symmetry, while the eta NN^* coupling remains finite. We perform an analysis based on the algebraic method for SU(2) and SU(3) chiral symmetry, and find that baryon axial charges play an essential role for vanishing coupling constants.

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Suppression of PiNN(1535) Coupling in the QCD Sum Rule

The πNN^* and ηNN^* coupling constants are studied based on the two point functions between the vacuum and a one meson state in the soft meson limit. In terms of a suitably constructed interpolating field for the nucleon and resonances, we have found that the πNN^* couplings vanish, while ηNN^* couplings remain finite. This result explains a relatively suppressed coupling of πNN(1535) as compared with others. We compare the present result with predictions of low energy effective models.

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QCD Sum Rule for 1/2- Baryons

The masses of the flavor octet and singlet baryons with negative parity and spin 1/2 are calculated using the QCD sum rule. We find that the chiral symmetry breaking vacuum condensates cause the mass splitting of the positive and negative baryons. The present sum rule reproduces the observed masses of these baryons within 10%, and predicts the mass of the excited Xi baryon with $J^P = {1/2}^{-}$ at 1.63 GeV. We confirm that the negative-parity state, $Λ_S-$, is the ground state in the flavor singlet baryon spectrum.

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Negative Parity Baryons in the QCD Sum Rule

Masses and couplings of the negative parity excited baryons are studied in the QCD sum rule. Separation of the negative-parity spectrum is proposed and is applied to the flavor octet and singlet baryons. We find that the quark condensate is responsible for the mass splitting of the ground and the negative-parity excited states. This is expected from the chiral symmetry and supports the idea that the negative-parity baryon forms a parity doublet with the ground state. The meson-baryon coupling constants are also computed for the excited states in the QCD sum rule. It is found that the πNN^* coupling vanishes in the chiral limit.

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Suppression of PiNN(1535) Coupling in the QCD Sum Rule

The πNN^* and ηNN^* coupling constants are studied in the QCD sum rule ($N^* \equiv N(1535)). We investigate the two point functions between the vacuum and a one meson state in the soft meson limit. The operator product expansion is explicitly performed up to terms of dimension eight. We find that \gpNR vanishes to this order, while \geNR has a finite contribution. The vanishing of \gpNR is a rigorous consequence in the chiral limit. The results of the QCD sum rule are compared with those of low energy effective models.

hep-ph↗

Negative-parity Nucleon Resonance in the QCD Sum Rule

The negative-parity baryons are studied by a novel approach in the QCD sum rule. It is found that the parity of the ground-state nucleon is determined by the sign of the quark condensate. We predict the mass of negative-parity nucleon.

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