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Related papers: Light scalar quarkonia from QCD Laplace sum rule a…

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We review our results on light scalar quarkonia ($\bar{q}q$ and four-quark states) from (inverse) QCD Laplace sum rules (LSR) and their ratios ${\cal R}$ within stability criteria and including higher order perturbative (PT) corrections up…

High Energy Physics - Phenomenology · Physics 2024-10-14 R. M. Albuquerque , S. Narison , D. Rabetiarivony

We scrutinize, improve some determinations of the masses and couplings of light scalar quarkonia ($\bar qq$ and four-quark states) and present new results for the $\pi^+\pi^-,K^+K^-,\dots$ molecules using QCD Laplace Sum Rule (LSR)…

High Energy Physics - Phenomenology · Physics 2023-08-08 R. Albuquerque , S. Narison , D. Rabetiarivony

We study the light scalar mesons in the QCD sum rule. We find that there are five independent scalar tetraquark currents in the local form, and we perform QCD sum rule analysis using both these currents and their combinations. Compared with…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hua-Xing Chen , Atsushi Hosaka , Shi-Lin Zhu

I present a mini-review of the masses and couplings of the bare (unmixed) light scalar mesons : $\bar qq, (\overline{qq})(qq), (\bar qq)(\bar qq), gg$ from QCD spectral sum rules (QSSR) and low-energy theorems (LET) which we compare with…

High Energy Physics - Phenomenology · Physics 2009-05-06 Stephan Narison

We study the possibility that the light scalar mesons are (qbar qbar q q) states rather than (qbar q). We perform a lattice QCD calculation of pseudoscalar meson scattering amplitudes, ignoring quark loops and quark annihilation, and find…

High Energy Physics - Lattice · Physics 2008-11-26 Mark Alford , R. L. Jaffe

Taking the example of the most popular and well-established Borel / Laplace / Exponential sum rule (LSR), I shortly review some of its recent applications in hadron physics namely the estimates of non-perturbative condensates, the…

High Energy Physics - Phenomenology · Physics 2014-10-07 Stephan Narison

QCD Laplace sum-rules are briefly reviewed and two sum-rule applications are presented. For scalar gluonium, upper bounds on the lightest state are obtained from ratios of Laplace sum-rules, and the role of instantons and the low-energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , D. Harnett

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 examine the interpretation of the light scalar meson nonet as bound states of the scalar diquark and the scalar antidiquark using the QCD sum rule approach. Our results are obtained by means of the operator product expansion (OPE)…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hee-Jung Lee

We examine the interpretation of the light scalar meson nonet as tetraquark states using QCD sum rules. With the interpolating current for the tetraquark states composed of scalar diquark and scalar antidiquark, first, we construct the QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hee-Jung Lee

We investigate lowest-lying scalar meson properties predicted from QCD Laplace sum rules based upon isovector and isoscalar non-strange $\bar{q}q$ currents. The hadronic content of these sum rules incorporates deviations from the narrow…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Elias , A. H. Fariborz , Fang Shi , T. G. Steele

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

The light scalar meson sigma(600) is known to appear at low excitation energy with very large width on top of continuum states. We investigate it in the QCD sum rule as an example of resonance structures appearing above the corresponding…

High Energy Physics - Phenomenology · Physics 2010-06-25 Hua-Xing Chen , Atsushi Hosaka , Hiroshi Toki , Shi-Lin Zhu

The light scalar meson spectrum is studied using the improved ladder QCD with the UA(1) breaking Kobayashi-Maskawa-'t Hooft interaction by solving the Schwinger-Dyson and Bethe-Salpeter equations. The dynamically generated…

High Energy Physics - Phenomenology · Physics 2009-11-10 Toru Umekawa , Kenichi Naito , Makoto Oka , Makoto Takizawa

We review our results in Refs.[1,2] for the masses and couplings of heavy-light DD(BB)-like molecules and (Qq)(Qq)-like four-quark states from relativistic QCD Laplace sum rules (LSR) where next-to-next-to-leading order (N2LO) PT…

High Energy Physics - Phenomenology · Physics 2023-08-09 R. Albuquerque , S. Narison , A. Rabemananjara , D. Rabetiarivony , G. Randriamanatrika

QCD sum-rules are related to an integral of a hadronic spectral function, and hence must satisfy integral inequalities which follow from positivity of the spectral function. Development of these Holder inequalities and their application to…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. G. Steele

QCD Laplace sum-rules for light-quark I=0,1 scalar currents are used to investigate candidates for the lightest $q\bar q$ scalar mesons. The theoretical predictions for the sum-rules include instanton contributions which split the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , Fang Shi , V. Elias

We study the low-lying scalar mesons of light u, d, s flavors in the QCD sum rule. Having all possible combinations of tetraquark currents in the local form, QCD sum rule analysis has been carefully performed. We found that using the…

High Energy Physics - Phenomenology · Physics 2007-07-18 Hua-Xing Chen , Atsushi Hosaka , Shi-Lin Zhu

We study the value of the light quark masses combination $m_u+m_d$ in QCD using both Finite Energy Sum Rules and Laplace Sum Rules. We have performed a detailed analysis of both the perturbative QCD and the hadronic parametrization inputs…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens , Joaquim Prades , Eduardo de Rafael

Alerted by the recent LHCb discovery of exotic hadrons in the range (6.2 -- 6.9) GeV, we present new results for the doubly-hidden scalar heavy $(\bar QQ) (Q\bar Q)$ charm and beauty molecules using the inverse Laplace transform sum rule…

High Energy Physics - Phenomenology · Physics 2023-08-08 R. M. Albuquerque , S. Narison , A. Rabemananjara , D. Rabetiarivony , G. Randriamanatrika
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