2002
DOI: 10.1016/s0370-2693(02)02087-7
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a new symmetry possibly realizing in hadron spectroscopy

Abstract: Starting from the multi-local Klein-Gordon equations with Lorentz-scalar squared-mass operator we give a covariant quark representation of the general composite mesons and baryons with definite Lorentz transformation property. The phenomenologically observed hadron mass spectra is pointed out to satisfy possibly the approximate symmetry under theŨ (4) transformation group concerning the spinor freedom of light constituent quarks, including the chiral transformation as a subgroup. This symmetry predicts the exi… Show more

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Cited by 11 publications
(9 citation statements)
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“…A repulsive background interaction could stem from left-hand singularities [1035] which are usually omitted in fits to the data. Ishida san and collaborators interpret the (485) as a relativistic qq state in an S-wave, making the lowest mass scalar mesons to a nonet of 'chiralons' [1036,1037]. Weinberg [1038] showed that the isoscalar S-wave scattering amplitude vanishes when the momenta of the pions go to zero, growing linearly with increasing s. The conflict between this consequence of chiral symmetry and unitarity requires the existence of a low-mass pole (see however [1039]).…”
Section: Other Interpretationsmentioning
confidence: 99%
“…A repulsive background interaction could stem from left-hand singularities [1035] which are usually omitted in fits to the data. Ishida san and collaborators interpret the (485) as a relativistic qq state in an S-wave, making the lowest mass scalar mesons to a nonet of 'chiralons' [1036,1037]. Weinberg [1038] showed that the isoscalar S-wave scattering amplitude vanishes when the momenta of the pions go to zero, growing linearly with increasing s. The conflict between this consequence of chiral symmetry and unitarity requires the existence of a low-mass pole (see however [1039]).…”
Section: Other Interpretationsmentioning
confidence: 99%
“…In this work, focusing exclusively on charmed strange mesons, we investigate systematically the strong decays with one pseudoscalar emission by using the covariant oscillator quark model (COQM). In order to construct the wave functions (WF) of composite sc mesons, we employ the U (4) DS × O(3, 1) L -scheme 6) which corresponds to a covariant extension of conventional SU (2) σ × O(3) L -scheme adopted in non-relativistic quark models (NRQM). A key ingredient of this scheme is the introduction of a new degree of freedom SU (2) ρ , called ρ-spin, in addition to the conventional Pauli-spin SU (2) σ .…”
Section: §1 Introductionmentioning
confidence: 99%
“…Within this context, we have proposed a new level-classification scheme, 8), 9) which has a relativistically covariant framework and is in conformity with the approximate chiral symmetry. In this new classification scheme, the "chiral states", which are not included within the framework of the NRQM, are expected to exist in the lower mass region, and the σ-nonet is naturally assigned as the (qq) relativistic S-wave chiral state.…”
Section: §1 Introductionmentioning
confidence: 99%