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A general class of inverse-moment sum rules was previously derived by the authors in a chiral perturbation theory (ChPT) study at two-loop order of the isospin and hypercharge vector-current propagators. Here, we address the evaluation of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eugene Golowich , Joachim Kambor

By incorporating contributions from both the (chromo)electric scale $gT$ and (chromo)magnetic scale $g^2T$, we establish spectral sum rules of quarks for strongly coupled QCD that respect Fermi-Dirac statistics as required by quantum…

High Energy Physics - Theory · Physics 2024-12-31 Yi-Lun Du , Nan Su , Konrad Tywoniuk

We formulate the quark sea contributions to the energy and various physical observables in terms of Euclidean Green functions and their K-spin partial wave reduction. In this framework it is not necessary to discretize the continuous…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Baacke , H. Sprenger

We present a QCD sum-rule determination of the heavy-quark kinetic energy inside a heavy meson, $-\lambda_1/2 m_Q$, which is consistent with the field-theory analog of the virial theorem. We obtain $-\lambda_1\approx (0.10\pm…

High Energy Physics - Phenomenology · Physics 2009-10-28 Matthias Neubert

We extend the formulation of relativistic Coulomb sum rules to account for the average effects of nuclear binding on the initial and final states of ejected nucleons. Relativistic interactions are included by using a Dirac representation…

Nuclear Theory · Physics 2009-09-25 D. S. Koltun , T. C. Ferree

We consider sum rules of the Weinberg type at zero and nonzero temperatures. On the basis of the operator product expansion at zero temperature we obtain a new sum rule which involves the average of a four-quark operator on one side and…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. I. Kapusta , E. V. Shuryak

In this article, we extend our previous work to study the $\Sigma$-type heavy baryons $\Sigma_c$ and $\Sigma_b$ in the nuclear matter using the QCD sum rules, and obtain three coupled QCD sum rules for the masses $M_{\Sigma_Q}^*$, vector…

High Energy Physics - Phenomenology · Physics 2012-04-17 Zhi-Gang Wang

The sum rule for the first moment of the polarised (virtual) photon structure function $g_1^\gamma(x,Q^2;K^2)$ is revisited in the light of proposals for future $e^+ e^-$ colliders. The sum rule exhibits an array of phenomena characteristic…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. M. Shore

We use the QCD sum rules to study possible $B_c$-like molecular states. We consider isoscalar $J^P = 0^+$ and $J^P = 1^+ D^{(\ast)}B^{(\ast)}$ molecular currents. We consider the contributions of condensates up to dimension eight and we…

High Energy Physics - Phenomenology · Physics 2012-11-22 Raphael M. Albuquerque , Xiang Liu , Marina Nielsen

We present a systematic study of the masses of light excited $q\bar{q}$ mesons using QCD sum rules at next-to-leading order (NLO). To probe excited states, we construct several interpolating currents with covariant derivatives inserted. The…

High Energy Physics - Phenomenology · Physics 2026-05-20 Shuang-Hong Li , Wei-Yang Lai , Hong-Ying Jin

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 use QCD sum rules to study the masses of the baryons $\Xi_c$ and $\Xi_b$. We work with a current where the strange and the light quarks are in a relative spin zero, at leading order in $\alpha_s$. We consider the contributions of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Francisco O. Durães , Marina Nielsen

The chiral phase transition is studied in an extended Nambu--Jona-Lasinio model with eight-quark interactions. Equations for scalar and vector quark densities, derived in the mean field approximation, are nonlinear and mutually coupled. The…

Consequences of QCD current algebra formulated on a light-like hyperplane are derived for the forward scattering of vector and axial-vector currents on an arbitrary hadronic target. It is shown that current algebra gives rise to a special…

High Energy Physics - Phenomenology · Physics 2016-07-20 Silas R. Beane , Timothy J. Hobbs

Observing the mass shifts of mesons immersed in nuclear matter is interesting, as the changes are expected to shed light on the effects of chiral symmetry breaking on the origin of hadron masses. At the same time, it is important to…

Nuclear Theory · Physics 2025-08-08 Seokwoo Yeo , HyungJoo Kim , Su Houng Lee

The nucleon's tensor charges (isovector $g^v_T={\delta}u-{\delta}d$ and isoscalar $g^s_T={\delta}u+{\delta}d$) are calculated using the QCD sum rules in the presence of an external tensor field. In addition to the standard quark and gluon…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hanxin He , Xiangdong Ji

In the framework of a specific scheme of the QCD sum rules for $S$-wave levels of the heavy quarkonium, one derives expressions, relating the leptonic constants, the energetic density of quarkonium states and universal characteristics in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kiselev V.

We derive QCD sum rules from the nucleon two-point function in nuclear medium, calculating its specral function in chiral perturbation theory to one loop. Our calculation shows the inadequacy of the commonly used ansatz to represent the…

Nuclear Theory · Physics 2007-05-23 S. Mallik , Hiranmaya Mishra

We investigate the isospin symmetry breaking effects within a recently derived Nambu-Jona-Lasinio related model by fitting the measured pseudoscalar meson masses and weak decay couplings $f_\pi$, $f_K$. Our model contains the next to…

High Energy Physics - Phenomenology · Physics 2016-06-29 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin

The properties of open strange meson $K_1^\pm$ in nuclear matter are estimated in the QCD sum rule approach. We obtain a relation between the in-medium mass and width of $K_1^-$ ($K_1^+$) in nuclear matter, and show that the upper limit of…

Nuclear Theory · Physics 2019-03-22 Taesoo Song , Tetsuo Hatsuda , Su Houng Lee
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