Hadron spectroscopy and form factors at quark level

Chakrabarty, Somenath; Gupta, K. C.; Singh, N. Nimai; Mitra, A. N.

doi:10.1016/0146-6410(89)90003-3

Cited by 27 publications

(17 citation statements)

References 256 publications

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“…Such 'leading-order' covariants (iγ • ε for V-meson, γ 5 for P-meson, etc) were used in our work so far for the calculation of some transition amplitudes [7,9,10] (since it can be noted that γ • ε is the same as γ • ε on account of P • ε = 0 with ε µ being the polarization vector). These were also used in earlier calculations of various transition amplitudes and mass spectra of hadrons in BSE under null-plane ansatz (NPA) [15]. On the other hand, in [2,11] only five of the eight covariants (i.e., 1 , .…”

Section: Structure Of Generalized Vertex Function γ( Q) In Bse Under Ciamentioning

confidence: 99%

“…Now we briefly mention some features of the BS formulation employed. The structure of BSE is characterized by a single effective kernel arising out of a four-fermion Lagrangian in the Nambu-Jona Lasino [15,16] sense. The formalism is fully consistent with Nambu-Jona Lasino [16] picture of chiral symmetry breaking but is additionally Lorentz-invariant because of the unique properties of the quantity q2 , which is positive definite throughout the entire 4D space.…”

Section: Structure Of Generalized Vertex Function γ( Q) In Bse Under Ciamentioning

confidence: 99%

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Generalized structure of hadron–quark vertex function in Bethe–Salpeter framework: applications to leptonic decays of V-mesons

Bhatnagar

2006

J. Phys. G: Nucl. Part. Phys.

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Abstract:We employ the framework of Bethe-Salpeter equation under Covariant Instantaneous Ansatz to study the leptonic decays of vector mesons. The structure of hadron-quark vertex function Γ is generalized to include various Dirac covariants (other than ε γ .i ) from their complete set. They are incorporated in accordance with a naïve power counting rule order by order in powers of the inverse of the meson mass. The decay constants for ω ρ, and φ mesons are calculated with the incorporation of leading order covariants.

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Section: Structure Of Generalized Vertex Function γ( Q) In Bse Under Ciamentioning

confidence: 99%

Section: Structure Of Generalized Vertex Function γ( Q) In Bse Under Ciamentioning

confidence: 99%

Generalized structure of hadron–quark vertex function in Bethe–Salpeter framework: applications to leptonic decays of V-mesons

Bhatnagar

2006

J. Phys. G: Nucl. Part. Phys.

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“…S 1 , S 2 denote the full propagators of quark and anti-quark, K the Bethe-Salpeter kernel, and χ BS the Bethe-Salpeter amplitude. From the latter, one obtains the light-cone wave function via integration over the energy variable k − (Michael and Payne 1982;Brodsky et al 1985;Chakrabarty et al 1989;Liu and Soper 1993),…”

Section: Schwinger-dyson Approachmentioning

confidence: 99%

“…From the latter, one obtains the light-cone wave function via integration over the energy variable k − (Michael and Payne 1982;Brodsky et al 1985;Chakrabarty et al 1989;Liu and Soper 1993),…”

Section: Schwinger-dyson Approachmentioning

confidence: 99%

Light-Cone Quantization: Foundations and Applications

Heinzl

2001

Methods of Quantization

114

144

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Abstract. These lecture notes review the foundations and some applications of lightcone quantization. First I explain how to choose a time in special relativity. Inclusion of Poincaré invariance naturally leads to Dirac's forms of relativistic dynamics. Among these, the front form, being the basis for light-cone quantization, is my main focus. I explain a few of its peculiar features such as boost and Galilei invariance or separation of relative and center-of-mass motion. Combining light-cone dynamics and field quantization results in light-cone quantum field theory. As the latter represents a first-order system, quantization is somewhat nonstandard. I address this issue using Schwinger's quantum action principle, the method of Faddeev and Jackiw, and the functional Schrödinger picture. A finite-volume formulation, discretized light-cone quantization, is analysed in detail. I point out some problems with causality, which are absent in infinite volume. Finally, the triviality of the light-cone vacuum is established. Coming to applications, I introduce the notion of light-cone wave functions as the solutions of the light-cone Schrödinger equation. I discuss some examples, among them nonrelativistic Coulomb systems and model field theories in two dimensions. Vacuum properties (like chiral condensates) are reconstructed from the particle spectrum obtained by solving the light-cone Schrödinger equation. In a last application, I make contact with phenomenology by calculating the pion wave function within the Nambu and Jona-Lasinio model. I am thus able to predict a number of observables like the pion charge and core radius, the r.m.s. transverse momentum, the pion structure function and the pion distribution amplitude. The latter turns out to be the asymptotic one.

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“…At short distances the theory suggests a Lorentz vector potential due to one-gluon-exchange where ac,(r) is the running coupling constant of QCD. The colour-hyperfine interaction which arises from colour magnetic fields contains both tensor and spin-spin terms as Since the long distance form of the potential cannot be derived, there has been several assumptions about the long distance form like linear (as indicated by the lattice gauge theory [27], harmonic (which has been motivated by a wide range of applicability in classical and quantum physics especially in nuclear and particle physics [28]) and powerlaw (which has been motivated by purely phenomenological consideration [13]). The non-relativistic potential is the sum of potentials arising from vector and scalar ex- The extension of these ideas to charmonium and bottomonium is not so straightforward because the splitting between the vectors and pseudoscalars will not come from the hyperfine interactions only.…”

Section: S-states Of Quarkoniamentioning

confidence: 99%

Heavy Meson Spectroscopy

Chakrabarty

1991

Fortschr. Phys.

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I n this article we give a review of certain aspects of the present understanding of spectroscopy of heavy mesons and constituent quark masses in the light of non-relativistic potential model approach motivated by quantum chromodynamics. We find that the one gluon exchange a t short distance and colour-confining interaction a t large distance which is pure scalar (or scalarvector admixture with dominant scalar interaction) under the Lorente transformation, can explain only partially the present data on 1P states of cE and bb states. The S-wave data, that are available a t present, however can be understood with both scalar confinement or scalar-vector admixture with scalar-dominant interaction.

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Hadron spectroscopy and form factors at quark level

Cited by 27 publications

References 256 publications

Generalized structure of hadron–quark vertex function in Bethe–Salpeter framework: applications to leptonic decays of V-mesons

Generalized structure of hadron–quark vertex function in Bethe–Salpeter framework: applications to leptonic decays of V-mesons

Light-Cone Quantization: Foundations and Applications

Heavy Meson Spectroscopy

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