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In this article, we assume that the two quarks have unequal masses and calculate the next-to-leading order contributions to the spectral densities of the mesonic two-point correlation functions of the vector, axialvector, scalar and…

High Energy Physics - Phenomenology · Physics 2013-11-08 Zhi-Gang Wang

Using a systematic expansion of the quark-antiquark Bethe-Salpeter wavefunctions in the relativistic quark model and working to O(P^4), in the chiral limit, we are able to derive theoretical expressions relating the coefficients of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Felipe J. Llanes-Estrada , Pedro de A. Bicudo

The diquark is a strongly correlated quark pair that plays an important role in hadrons and hadronic matter. In order to treat the diquak as a building block of hadrons, we formulate an effective theory of diquark fields with $SU(3)_R…

High Energy Physics - Phenomenology · Physics 2020-04-01 Masayasu Harada , Yan-Rui Liu , Makoto Oka , Kei Suzuki

Lorentz scalar and mass interactions are studied in more detail in the framework of a reduced Dirac equation for heavy quark-antiquark mesons. A microscopic model for these interactions is proposed and analyzed. The charmonium mass spectrum…

High Energy Physics - Phenomenology · Physics 2023-02-22 M. De Sanctis

We calculate the coefficients in the chiral Lagrangian approximately from QCD based on a previous study of deriving the chiral Lagrangian from the first principles of QCD in which the chiral Lagrangian coefficients are defined in terms of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hua Yang , Qing Wang , Yu-Ping Kuang , Qin Lu

A chiral matrix model applicable to QCD with 2+1 flavors is developed. This requires adding a SU(3)_L x SU(3)_R x Z(3)_A nonet of scalar fields, with both parities, and coupling these to quarks through a Yukawa coupling, y. Treating the…

High Energy Physics - Phenomenology · Physics 2016-08-18 Robert D. Pisarski , Vladimir V. Skokov

Recent theoretical developments of hadrons in nuclei are briefly reviewed in the aspect of chiral symmetry in nuclei. We show a general sum rule connecting in-medium hadronic quantities and quark condensate, emphasizing that both pionic…

Nuclear Theory · Physics 2010-12-17 Daisuke Jido

QCD sum rules for the determination of form factors of $\Lambda_b$ and $\Lambda_c$ semileptonic decays are investigated. With a form for the baryonic current appropriate for the limits of the heavy quark symmetries, the different tensor…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. S. Marques de Carvalho , F. S. Navarra , M. Nielsen , E. Ferreira , H. G. Dosch

We construct a three flavor chiral Lagrangian of pseudoscalars and vectors with special emphasis on the symmetry breaking terms. Comparing tree level two and three point functions with experiment allows us to first, fix the parameters of…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Schechter , A. Subbaraman , H. Weigel

Recent work on the spectrum of the Euclidean Dirac operator spectrum show that the exact microscopic spectral density can be computed in both random matrix theory, and directly from field theory. Exact relations to effective Lagrangians…

High Energy Physics - Theory · Physics 2007-05-23 P. H. Damgaard

We investigate the quark content of the scalar meson $a_0(980)$ using lattice QCD. To this end we consider correlation functions of six different two- and four-quark interpolating fields. We evaluate all diagrams, including diagrams, where…

High Energy Physics - Lattice · Physics 2018-02-21 Constantia Alexandrou , Joshua Berlin , Mattia Dalla Brida , Jacob Finkenrath , Theodoros Leontiou , Marc Wagner

Matter fields in the MSSM are chiral supermultiplets in fundamental (or singlet) representations of the standard model gauge group. In this paper we introduce chiral superfields in the adjoint representation of $SU(3)_C$ and study the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yanou Cui

We discuss the low-energy analysis of models involving quarks and four-fermion couplings. The relation with QCD and with other models of mesons and meson plus quarks at low energies is discussed. A short description of how the heat-kernel…

High Energy Physics - Phenomenology · Physics 2015-06-25 Johan Bijnens

A generalized linear sigma model for low energy QCD is employed to study the quark structure of eight low lying scalar isomultiplets as well as eight low lying pseudoscalar isomultiplets. The model, building on earlier work, assumes the…

High Energy Physics - Phenomenology · Physics 2009-11-19 Amir H. Fariborz , Renata Jora , Joseph Schechter

The Banks--Casher relation links the spontaneous breaking of chiral symmetry in QCD to the presence of a non-zero density of quark modes at the low end of the spectrum of the Dirac operator. Spectral observables like the number of modes in…

High Energy Physics - Lattice · Physics 2009-03-31 Leonardo Giusti , Martin Lüscher

In this paper, we reanalyze the $I=0$ scalar channel with the improved Monte-Carlo based QCD sum rules, which combines the rigorous H\"older-inequality-determined sum rule window and a two Breit-Wigner type resonances parametrization for…

High Energy Physics - Phenomenology · Physics 2017-08-09 Jia-Min Yuan , Zhu-Feng Zhang , T. G. Steele , Hong-Ying Jin , Zhuo-Ran Huang

We demonstrate the calculation of the coupling constants and form factors required by effective hadron lagrangians using the quark model. These relations follow from equating expressions for strong transition amplitudes in the two…

Nuclear Theory · Physics 2008-11-26 C. Downum , T. Barnes , J. R. Stone , E. S. Swanson

In a deep-infrared (ergodic) regime, QCD coupled to massive pseudoreal and real quarks are described by chiral orthogonal and symplectic ensembles of random matrices. Using this correspondence, general expressions for the QCD partition…

High Energy Physics - Theory · Physics 2009-10-31 T. Nagao , S. M. Nishigaki

Based on schematic two-level models extended to $a_1$-meson degrees of freedom, we investigate possible mechanisms of chiral restoration in the vector/axialvector channels in cold nuclear matter. In the first part of this article we employ…

Nuclear Theory · Physics 2009-10-31 Youngman Kim , R. Rapp , G. E. Brown , Mannque Rho

Gaussian QCD sum-rules are ideally suited to the study of mixed states of gluonium (glueballs) and quark ($q\bar q$) mesons because of their capability to resolve widely-separated states of comparable strength. The analysis of the Gaussian…

High Energy Physics - Phenomenology · Physics 2015-03-13 D. Harnett , R. T. Kleiv , K. Moats , T. G. Steele