A Chiral Lagrangian Framework for Scalar Mesons

2001 ◽  
Author(s):  
Deirdre Black ◽  
Amir H. Fariborz ◽  
Joseph Schechter
Keyword(s):  
Scalar Mesons ◽  
Lagrangian Framework ◽  
Chiral Lagrangian

PROBING THE QUARK AND GLUEBALL ADMIXTURES OF THE SCALAR MESONS

2004 ◽  
Vol 19 (31) ◽  
pp. 5417-5424 ◽  
Author(s):  
A. H. FARIBORZ
Keyword(s):  
Scalar Mesons ◽  
Lagrangian Framework ◽  
Chiral Lagrangian

A nonlinear chiral Lagrangian framework for scalar mesons below 2 GeV [the I =l/2 states: κ(900) and [Formula: see text]; the I=1 states: a0(980) and a0(1450); and the I=0 states: α(550), f0(980), f0(1370), f0(1500) and f0(1710)] is presented. This framework is formulated in terms of two meson nonets with a mixing mechanism dictated by SU (3) symmetry and its breakdown.

scholarly journals ISOSINGLET SCALAR MESONS BELOW 2 GeV AND THE SCALAR GLUEBALL MASS

2004 ◽  
Vol 19 (13) ◽  
pp. 2095-2112 ◽  
Author(s):  
AMIR H. FARIBORZ
Keyword(s):  
Experimental Data ◽  
Scalar Glueball ◽  
Scalar Mesons ◽  
Lagrangian Framework ◽  
Glueball Mass ◽  
Quark State ◽  
Decay Widths ◽  
Chiral Lagrangian

A collective treatment of the I=0 scalar mesons below 2 GeV [σ(550), f0(980), f0(1370), f0(1500) and f0(1710)] in a nonlinear chiral Lagrangian framework that is constrained by the mass and the partial decay widths of the I=1/2,1 scalars [κ(900), [Formula: see text], a0(980) and a0(1450)] is presented. The sub-structure of these states in terms of two and four quark components, as well as a glueball component is explored, and its correlation with the mass of f0(1370) is studied. Consistency with the available experimental data suggests that the σ(550) is dominantly a nonstrange four-quark state, whereas the sub-structure of other I=0 states are sensitive to the input mass of f0(1370). This investigation estimates the scalar glueball mass in the range 1.47–1.64 GeV.

ON QCD INVESTIGATIONS OF CHIRAL LAGRANGIAN

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1627-1638 ◽  
Author(s):  
QING WANG
Keyword(s):  
Present Status ◽  
Scalar Mesons ◽  
Pseudo Scalar ◽  
Chiral Lagrangian

I review the present status of QCD investigations on chiral Lagrangian for pseudo scalar mesons.

scholarly journals DERIVATION OF ELECTROWEAK CHIRAL LAGRANGIAN FROM ONE FAMILY TECHNICOLOR MODEL

2009 ◽  
Vol 24 (09) ◽  
pp. 693-702 ◽  
Author(s):  
HONG-HAO ZHANG ◽  
KAI-XI FENG ◽  
SHAO-ZHOU JIANG ◽  
QING WANG
Keyword(s):  
Path Integral ◽  
Numerical Results ◽  
First Principle ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Scalar Mesons ◽  
Technicolor Model ◽  
The One ◽  
Pseudo Scalar ◽  
Chiral Lagrangian

Based on previous studies deriving the chiral Lagrangian for pseudo scalar mesons from the first principle of QCD in the path integral formalism, we derive the electroweak chiral Lagrangian and dynamically compute all its coefficients from the one family technicolor model. The numerical results of the p4 order coefficients obtained in this paper are proportional to the technicolor number N TC and the technifermion number N TF , which agrees with the arguments in previous works, and which confirms the reliability of this dynamical computation.

scholarly journals 2, 12, 117, 1959, 45171, 1170086, …: a Hilbert series for the QCD chiral Lagrangian

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Lukáš Gráf ◽  
Brian Henning ◽  
Xiaochuan Lu ◽  
Tom Melia ◽  
Hitoshi Murayama
Keyword(s):  
Hilbert Series ◽  
Charge Conjugation ◽  
External Fields ◽  
Dynkin Diagrams ◽  
Non Linear ◽  
Very High ◽  
Chiral Lagrangian

Abstract We apply Hilbert series techniques to the enumeration of operators in the mesonic QCD chiral Lagrangian. Existing Hilbert series technologies for non-linear realizations are extended to incorporate the external fields. The action of charge conjugation is addressed by folding the $$ \mathfrak{su}(n) $$ su n Dynkin diagrams, which we detail in an appendix that can be read separately as it has potential broader applications. New results include the enumeration of anomalous operators appearing in the chiral Lagrangian at order p8, as well as enumeration of CP-even, CP-odd, C-odd, and P-odd terms beginning from order p6. The method is extendable to very high orders, and we present results up to order p16.(The title sequence is the number of independent C-even and P-even operators in the mesonic QCD chiral Lagrangian with three light flavors of quarks, at chiral dimensions p2, p4, p6, …)

scholarly journals Numerical Solution of the Spinor-Spinor Bethe-Salpeter Equation in Functional Nonlinear Spinor Theory

1975 ◽  
Vol 30 (5) ◽  
pp. 656-671
Author(s):  
W. Bauhoff
Keyword(s):  
Angular Momentum ◽  
Excited State ◽  
Variational Method ◽  
Numerical Solution ◽  
High Precision ◽  
Nonlinear Spinor ◽  
Spinor Theory ◽  
First Order ◽  
Scalar Mesons ◽  
Functional Methods

AbstractThe mass eigenvalue equation for mesons in nonlinear spinor theory is derived by functional methods. In second order it leads to a spinorial Bethe-Salpeter equation. This is solved by a variational method with high precision for arbitrary angular momentum. The results for scalar mesons show a shift of the first order results, obtained earlier. The agreement with experiment is improved thereby. An excited state corresponding to the η' is found. A calculation of a Regge trajectory is included,too.

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