Covariant Quark Representation of Composite Meson Systems and Chiral Symmetry

Ishida, Shin; Ishida, Muneyuki; Maeda, Tomohito

doi:10.1143/ptp.104.785

Cited by 18 publications

(22 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The resonance around 1200 MeV observed in the present analysis is not accommodated in the scheme described by the non-relativistic conventional quark model, but may have a sheet in a ground state extra vector nonet of the covariant level-classification scheme of hadrons [9,10].…”

Section: Discussion and Concluding Remarksmentioning

confidence: 81%

An extra vector state at a lower mass, ω(1250) in a re-analysis of e+e− annihilation data

Komada

Yamauchi

2016

AIP Conference Proceedings

View full text Add to dashboard Cite

Section: Discussion and Concluding Remarksmentioning

confidence: 81%

An extra vector state at a lower mass, ω(1250) in a re-analysis of e+e− annihilation data

Komada

Yamauchi

2016

AIP Conference Proceedings

View full text Add to dashboard Cite

“…(17) is the covariant quark-representation of composite qq-meson system, proposed in Ref. [8], which started the relevant covariant classification scheme. Here φ (i) (X)'s with the definite Lorentz transformation property in addition to the attributes {J P Cχm } are to be second- Before going into details, is shown in Fig.1; Overview on constructing Quantum Field Theory of Composite Particles.…”

Section: Role Of Chirality In Elementary Hadrons and Mass Reversal Ofmentioning

confidence: 99%

“…(6), of WF, Φ ii) The spinor-WF of qq meson in the ground S-wave state is given in the form as S Table 1 in Ref. [8] and Table 2 in Ref. [9] ).…”

Section: Quantum Mechanics -The First-stage Quantizationmentioning

confidence: 99%

Propertime Quantum Mechanics for Confined Multi-Quark System and Covariant Hadron-Classification Scheme[1]

Ishida¹

2015

Proceedings of CST-MISC Joint Symposium on Particle Physics — From Spacetime Dynamics to Phenomenology —

View full text Add to dashboard Cite

One of the most important problems in hadron physics is to establish the Lorentz-invariant classification scheme of composite hadrons, extending the framework of non-relativistic quark model. We present an attempt, by developing proper-time τ quantum mechanics on a multiquark system in particle frame (with constant boost velocity v). We start from the variational method on a classical mechanics action where a constituent quark has Pauli-type SU (2) σ spin. Then the SU (2) m symmetry, concerning the sign-reversal on quark mass, has arisen with the basic vectors, the normal Dirac spinor with J P = (1/2) + and the chiral one with J P = (1/2) − , appearing as a "shadow" of the former. Herewith, the mass reversal between these basic vectors become equivalent to the chirality, which is a symmetry of the standard gauge theory. We describe the role of chirality in hadron spectroscopy and regard it as attribute {χ} of "elementary" hadrons in addition to {J, P, C}. A novel feature of our hadron spectroscopy is, in the example of qq meson system, that the "Regge trajectories", are given by mass-squared vs. the number of quantum N ; where M 2 = M 2 0 + 2N Ω (N = 2n, n the radial quantum number, Ω the oscillator quantum), and the intrinsic spin of hadrons J comes only from quark spin S, J = S. Some phenomenological facts crucial to its validity are pointed out on the light-through-heavy quarkonium system.

show abstract

“…A few years ago we have proposed a covariant level-classification scheme 1) for hadrons, unifying the seemingly contradictory two, non-relativistic and extremely relativistic, viewpoints. (Its essential points are reviewed in our review articles 2) .)…”

Section: (Covariant Classif Ication Scheme and Chiral States/chiralons)mentioning

confidence: 99%

The Ds(2317) and Ds(2463) Mesons as Scalar and Axial-Vector Chiralons in the Covariant Level-Classification Scheme

Ishida¹,

Ishida²,

Komada³

et al. 2004

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

The new narrow mesons observed recently in the final states D + s π 0 and D * + s π 0 are pointed out to be naturally assigned as the ground-state scalar and axial-vector chiralons in the (cs) system, which would newly appear in the covariant hadron-classification scheme proposed a few years ago. §1. Introduction (Covariant Classif ication Scheme and Chiral states/Chiralons)A few years ago we have proposed a covariant level-classification scheme 1) for hadrons, unifying the seemingly contradictory two, non-relativistic and extremely relativistic, viewpoints. (Its essential points are reviewed in our review articles 2) .) Here the framework is manifestly Lorentz-covariant and the space for the static symmetry is extended from that of non-relativistic (NR) scheme towhere a new additional SU (2)-space for the ρ-spin (ρ-and σ-spin being Paulimatrices in the decomposition of Dirac γ matrices: γ ≡ σ ρ) is introduced for covariant description * * ) of hadron spin-wave function (WF). The spin WF for the quark-antiquark meson systems are generally given by the Bargmann-Wigner (BW) spinors, and are represented as the bi-Dirac spinors W β α = u αv β : α = (ρ 3 , σ 3 ), β = (ρ 3 ,σ 3 ), where α(β) denotes the suffices of Dirac spinors of quarks(anti-quarks) represented by the eigenvalues of ρ-spin and σ-spin, andρ 3 ≡ −ρ T 3 . In the light-quark (LL) meson system the states with (ρ 3 ,ρ 3 ) = * ) Associate member. * * ) It is to be noted that in our scheme the squared-mass spectra are globallyŨ (12)-symmetric 1) and the mass spectra themselves are able to be reconciled with the broken chiral symmetry.

show abstract

Covariant Quark Representation of Composite Meson Systems and Chiral Symmetry

Cited by 18 publications

References 5 publications

An extra vector state at a lower mass, ω(1250) in a re-analysis of e+e− annihilation data

An extra vector state at a lower mass, ω(1250) in a re-analysis of e+e− annihilation data

Propertime Quantum Mechanics for Confined Multi-Quark System and Covariant Hadron-Classification Scheme[1]

The Ds(2317) and Ds(2463) Mesons as Scalar and Axial-Vector Chiralons in the Covariant Level-Classification Scheme

Contact Info

Product

Resources

About