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Related papers: Light Scalar Mesons in the QCD Sum Rule

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We apply the light-cone QCD sum rules with chiral currents to compute transition form factors of the semileptonic decay of the charmed and bottom scalar mesons $D/B$ to $a_{0}(980)l^{+}\nu_{l}$ $(l=e$, $\mu)$, where the scalar meson…

High Energy Physics - Phenomenology · Physics 2026-03-30 Di Gao , Jiangshan Lan , Duojie Jia , Xingbo Zhao , Yanjun Sun

In the present work, we construct the color-singlet-color-singlet type four-quark currents to investigate the $D_s\bar{D}_{s1}$ and $D_s^*\bar{D}_{s0}^*$ tetraquark molecular states with the $J^{PC}=1^{--}$ and $1^{-+}$ via the QCD sum…

High Energy Physics - Phenomenology · Physics 2021-10-13 Zhi-Gang Wang , Xiao-Song Yang , Qi Xin

The gap Delta = 4 pi f_pi ~ 1.2 GeV of spontaneous chiral symmetry breaking is introduced as a scale delineating resonance and continuum regions in the QCD spectral sum rules for vector mesons. Basic current algebra results are easily…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. Marco , W. Weise

QCD sum rule is applied to the pentaquark spectroscopy. It is concluded that no positive parity state is seen in low energy region, while there may exist negative parity states at around 1.5 GeV. Choice of interpolating local operators and…

High Energy Physics - Phenomenology · Physics 2017-08-23 Makoto Oka

Pseudo-scalar and scalar $D$ mesons are considered within the QCD sum rule approach. We present an analysis of the mass splitting of the pseudo-scalar D - D-bar mesons and the relation to QCD condensates. Weinberg type sum rules are derived…

Nuclear Theory · Physics 2010-02-18 T. Hilger , B. Kampfer

The masses, current couplings and widths of the fully heavy scalar tetraquarks $X_{\mathrm{4Q}}=QQ\overline{Q}\overline{Q}$, $Q=c, b$ are calculated by modeling them as four-quark systems composed of axial-vector diquark and antidiquark.…

High Energy Physics - Phenomenology · Physics 2023-11-01 S. S. Agaev , K. Azizi , B. Barsbay , H. Sundu

In this talk, we briefly report the investigations of the mass spectra for the $cc\bar c\bar c, bb\bar b\bar b$, $bc\bar b\bar c$ and $cc\bar b\bar b$ tetraquark states by using the QCD moment sum rule method. The calculations for the…

High Energy Physics - Phenomenology · Physics 2022-12-08 Wei Chen , Qi-Nan Wang , Zi-Yan Yang , Hua-Xing Chen , Xiang Liu , T. G. Steele , Shi-Lin Zhu

I describe some insight obtained from a lattice calculation on the possibility that the light scalar mesons are \qbar^2 q^2 states rather than \qbar q. First I review some general features of \qbar^2 q^2 states in QCD inspired quark models.…

High Energy Physics - Lattice · Physics 2009-11-10 M. Alford , R. L. Jaffe

Using the QCD spectral sum rule approach we investigate different currents with $J^{PC}=1^{++}$, which could be associated with the $X(3872)$ meson. Our results indicate that, with a four-quark or molecular structure, it is very difficult…

High Energy Physics - Phenomenology · Physics 2011-02-15 Stephan Narison , Fernando S. Navarra , Marina Nielsen

We perform a QCD sum rule analysis for the light scalar meson $\sigma$ ($f_0(600)$) with a tetraquark current related to the instanton picture for QCD vacuum. We demonstrate that instanton current, including equal weights of scalar and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hee-Jung Lee , N. I. Kochelev

We evaluate lower bounds on the sum of the up and down quark masses. The bounds follow from the constraints provided by the dispersion relation obeyed by the two--point function of the scalar current density when combined with properties of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexandre Dominguez-Clarimon , Eduardo de Rafael , Josep Taron

We explore, by a rather peculiar limit of QCD sum rules subject to a Borel transformation (realized by allowing the related Borel mass parameter to approach infinity), how the small difference of the masses of up and down quark translates…

High Energy Physics - Phenomenology · Physics 2019-06-20 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

The properties of $\sigma$(600) meson are studied using the QCD sum rules (QSR) for the tetraquark operators. In the SU(3) chiral limit, we investigate separately SU(3) singlet and octet tetraquark states as constituents of the $\sigma$…

High Energy Physics - Phenomenology · Physics 2008-12-30 Toru Kojo , Daisuke Jido

An updated investigation of QCD sum rules for the first two moments of rho meson spectral functions, both in vacuum and in-medium, is performed with emphasis on the role of the scale related to spontaneous chiral symmetry breaking in QCD.…

Nuclear Theory · Physics 2010-07-29 Youngshin Kwon , Massimiliano Procura , Wolfram Weise

We review some theoretical and phenomenological aspects of the scenario in which the spontaneous breaking of chiral symmetry is not triggered by a formation of a large condensate <\bar{q} q>. Emphasis is put on the resulting pattern of…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jan Stern

The QCD sum rules in the large-$N_c$ limit for the light non-strange vector, axial and scalar mesons are considered assuming a string-like linear spectrum for the radially excited states. We propose a improved method for combined analysis…

High Energy Physics - Phenomenology · Physics 2016-12-13 S. S. Afonin , T. D. Solomko

In this work, we chose three molecular and three diquark-antidiquark currents with the quark content $c\bar{c}s\bar{s}$ and $J^{PC}=0^{++},1^{++},2^{++}$, and estimated the masses and the meson coupling constants of the ground states…

High Energy Physics - Phenomenology · Physics 2019-03-14 Arzu Turkan , Huseyin Dag

We review the recent progress in the applications of QCD sum rules to hadron properties with the emphasis on the following selected problems: (i) development of new algorithms for the extraction of ground-state parameters from two-point…

High Energy Physics - Phenomenology · Physics 2016-01-26 Dmitri Melikhov

$B_{(s)}$ semi-leptonic decays to the light scalar meson, $B_{(s)}\to S l\bar{\nu}_l, S l \bar{l}\,\,(l=e,\mu,\tau)$, are investigated in the QCD light-cone sum rules (LCSR) with chiral current correlator. Having little knowledge of…

High Energy Physics - Phenomenology · Physics 2015-03-17 Yan-Jun Sun , Zuo-Hong Li , Tao Huang

QCD sum rules on the light-cone are derived for the sum $f^+ + f^-$ of the $B\to \pi$ and $D\to \pi$ form factors taking into account contributions up to twist four. Combining the results with the corresponding $f^+$ form factors calculated…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Khodjamirian , R. Rückl , C. W. Winhart
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