Current Algebra and Unitarity

Schnitzer, Howard J.

doi:10.1103/physrevlett.24.1384

Cited by 23 publications

(16 citation statements)

References 16 publications

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“…Since the hyperfine term is relatively short distance, it becomes less important for larger radii so that multiplet splittings become a measure of the spin-orbit splittings, with contributions of opposite sign coming from the short range Lorentz vector one-gluon-exchange and the long range Lorentz scalar linear confinement potential. The ordering of states within a multiplet of given orbital angular momentum gives information on the relative importance of the two pieces (Schnitzer 1984a, Godfrey 1985b, 1985c, Isgur 1998). Thus, the multiplet splittings act as a probe of the confinement potential, providing information on non-perturbative QCD.…”

Section: Dvv*h9mentioning

confidence: 99%

Light-meson spectroscopy

1999

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We survey the current status of light meson spectroscopy. We begin with a general introduction to meson spectroscopy and and its importance in understanding the physical states of Quantum Chromo Dynamics (QCD). Phemenological models of hadron spectroscopy are described with particular emphasis on the constituent quark model and the qualitative features it predicts for the meson spectrum. We next discuss expectations for hadrons lying outside the quark model, such as hadron states with excited gluonic degrees of freedom. These states include so-called hybrids and glueballs, as well as multiquark states. The established meson states are compared to the quark model predictions and we find that most meson states are well described by the quark model. However, a number of states in the light-quark sector do not fit in well, suggesting the existence of hadronic states with additional degrees of freedom. We end with a brief description of future directions in meson spectroscopy.2

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Section: Dvv*h9mentioning

confidence: 99%

Light-meson spectroscopy

1999

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“…We are surprised that in these first works, e.g. [8][9][10]12,13,61,62], it was common to refer to the (generalized) ERE without any mention at all to the K-matrix approach, a notion much more common in later times and, in particular, for more recent papers based on the unitarization of ChPT. Probably this is related to the fact that the K-matrix parameterizations have been used in many instances in the literature over large energy intervals in order to fit experimental data.…”

Section: Ere and K-matrix Approachesmentioning

confidence: 99%

“…It is somewhat astonishing that already in 1970 one can read about motivations for unitarizing phenomenological chiral Lagrangians, introduced to construct realizations of the current algebra approach [2]. Rephrasing the original remarks by Schnitzer [8,9], the ideas he put forward are still the main reasons to advocate the unitarization of ChPT amplitudes:…”

Section: Introductionmentioning

confidence: 99%

Unitarization Technics in Hadron Physics with Historical Remarks

Oller

2020

Symmetry

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We review a series of unitarization techniques that have been used during the last decades, many of them in connection with the advent and development of current algebra and later of Chiral Perturbation Theory. Several methods are discussed like the generalized effective-range expansion, K-matrix approach, Inverse Amplitude Method, Padé approximants and the N / D method. More details are given for the latter though. We also consider how to implement them in order to correct by final-state interactions. In connection with this some other methods are also introduced like the expansion of the inverse of the form factor, the Omnés solution, generalization to coupled channels and the Khuri-Treiman formalism, among others.

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“…In particular, its original derivation was revised in [96][97][98][99][100][101], the main lesson was that it required more ad hoc assumptions in comparison with the ones made in [94,95]. Notably, the modern experimental data (37) favors rather to the ansatz…”

Section: One Vector and One Axial-vectormentioning

confidence: 99%

Weinberg like sum rules revisited

Afonin

2009

PMC Phys A

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The generalized Weinberg sum rules containing the difference of isovector vector and axial-vector spectral functions saturated by both finite and infinite number of narrow resonances are considered. We give a historical survey and summarize the status of these sum rules analyzing their overall agreement with phenomenological Lagrangians, lowenergy relations, parity doubling, hadron string models, and experimental data.

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Current Algebra and Unitarity

Cited by 23 publications

References 16 publications

Light-meson spectroscopy

Light-meson spectroscopy

Unitarization Technics in Hadron Physics with Historical Remarks

Weinberg like sum rules revisited

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