Current Vertex Functions in the Relativistic Composite Particle Model of Hadrons

Namiki, Mikio; Saito, Seiji

doi:10.1143/ptp.53.1465

Cited by 3 publications

(5 citation statements)

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“…Note that the p matrices in (5) are introduced as a common factor of every quark. *> This is a characteristic property of the SU (6) ,,r which may correspond to the quark confinement. Here we must remark that the matrices rfn) defined abov·e does not transform like a Lorentz 4-Yector.…”

Section: S Saitomentioning

confidence: 99%

“…from which we can easily see the differences between the numbers of spinor components of the tJ (12) and SU (6) to external field 111~ or lV/, we can obtain the vertex functions, r,,<+l for the charge raising processes and r ~ (-) for the charge lovvering processes, as follows:…”

Section: S Saitomentioning

confidence: 99%

“…SU (6) .u· have not been clarified until Ishida, Matsuda and Namiki have done. However, their prescription to give various vertex functions is not so clear and simple.…”

mentioning

confidence: 99%

“…The q' dependence of GA(q 2 ) =FA(q')/FA(O): Case (a) U(l2)(8)0(3, 1) model and Case (b) SU(6) .v:@O (3, 1) model.…”

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confidence: 99%

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Hadron Electromagnetic and Weak Form Factors in the Minimal Boosted SU(6) Scheme of the Relativistic Quark Model

Saito

1977

Progress of Theoretical Physics

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In this paper, we present a relativistically invariant formulation of the hadron electromagnetic and semilcptonic weak vertex function in the minimal boosted SU (6) model, that is, in the SU (6) 1r®O (3, 1) based on the relativistic quark model. The various form factors obtained from this model are compared with those given by the 11(12)®0(3, 1) model. It is also shown that existing experiments can be fairly well reproduced by the SU (Ci) ,' I®O (3, 1) rather than by the U (12) ®0 (3, 1). § l. IntroductionRecently Ishida, JVIatsuda and Namiki haYe presented a ne\V formulation for relativistic generalization of the SU(6) scheme, called SU(G) Jr, to formulate the spinor part of the hadron ~wave functions. 1 l The SU (6) Jr scheme was originally introduced by Fujimura, Kobayashi and Namiki"J in an intuitive way of formulating the relativistic wa\·e functions different from the U (12) scheme. One of the important results of the SU(6),1r(290(3, 1) model is that \YC can obtain electromagnetic form factors of the dipole type for nucleon and of the simple pole type for pion in good agreement \vith existing experimental results. Such q'-dependenccs of the form factors essentially come from the o\·erlapping integral o£ the inner orbital wave functions describing the Lorentz contraction effect as a dynamical result of the relativistic harmonic oscillator model with Takabayashi's subsidiary condition. 3 l In order to obtain the \Nhole scheme of form factors, however, we must formulate the spinor-unitary spinor part of the hadron wcn·e :functions and details of the current Ycrtex function, and examine the other multiplicative :factors of the form factors coming from them. The first attempt given by Fujimura, Kobayashi and Namiki is not so satisfactory as to the relati,-istic covariance and the gauge invanance. Feynman, Kisslinger and Ravndal proposed a method to give the relati,·istic covariant and gauge invariant current in the framework of U (12) (290 (3, 1) . 1 ) Along the same line o£ thought, BlagojeYic and Lalm·ic obtained the current Yertex function obeying the relativistic covariance and the gauge innuiance in the case of SU(6) ,,£(290( 3, 1) . 5 l It seems to us that the mathematical structure of

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Section: S Saitomentioning

confidence: 99%

Section: S Saitomentioning

confidence: 99%

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Hadron Electromagnetic and Weak Form Factors in the Minimal Boosted SU(6) Scheme of the Relativistic Quark Model

Saito

1977

Progress of Theoretical Physics

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“…The weak current vertex function rp(x) is obtained 8 ), 9) from the Green function Gw in the external weak boson field WI' as…”

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Semileptonic Decays of Mesons in Relativistic Harmonic Oscillator Model

Kizukuri

1982

Progress of Theoretical Physics

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Electromagnetic interactions of hadrons in the relativistic harmonic-oscillator quark model

et al. 1979

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Various electromagnetic properties of hadrons are investigated systematically by applying many possible types of "minimal currents" in the framework of the relativistic harmonic oscillator (H.O.) which are conserved in the symmetric limit. As a result it is shown that a general minimal current in the SU(6),,, scheme [minimally boosted SU (6)] with definite-metric H.0, reproduces satisfactorily experimental behaviors of almost all hadron electromagnetic (EM) properties: EM form factors of nucleons and pions (including nonvanishing electric form factor of the neutron), magnetic and transition moments of ground-state mesons and baryons, and helicity couplings of photon and baryon resonances. Other types of currents, a vectormeson-dominant one and a general minimal one in the ~( 1 2 ) scheme with shell-type definite-metric H.O., are also interesting in giving similar desirable behaviors with some exceptions.

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Current Vertex Functions in the Relativistic Composite Particle Model of Hadrons

Cited by 3 publications

References 3 publications

Hadron Electromagnetic and Weak Form Factors in the Minimal Boosted SU(6) Scheme of the Relativistic Quark Model

Hadron Electromagnetic and Weak Form Factors in the Minimal Boosted SU(6) Scheme of the Relativistic Quark Model

Semileptonic Decays of Mesons in Relativistic Harmonic Oscillator Model

Electromagnetic interactions of hadrons in the relativistic harmonic-oscillator quark model

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