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Infinite sets of sum rules involving the excitations of infinite nuclear matter are derived using only completeness, the current algebra implicit in QCD, and relativistic covariance. The sum rules can be used for isospin-asymmetric nuclear…

Nuclear Theory · Physics 2007-05-23 Thomas D. Cohen , Wojciech Broniowski

Pionic excitations are analyzed in isospin-asymmetric Fermi gas of constituent quarks. It is found that in addition to the usual pionic excitations, there exists a very low collective mode with quantum numbers of the charged pion…

Nuclear Theory · Physics 2009-10-30 Wojciech Broniowski , Brigitte Hiller

The validity of Weinberg's two sum rules for massless QCD, as well as the six additional sum rules introduced into chiral perturbation theory by Gasser and Leutwyler, are investigated for the extended Nambu-Jona-Lasinio chiral model that…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. P. Klevansky , R. H. Lemmer

New QCD sum rules for nucleons in nuclear matter are derived from a mixed correlation function of spin-1/2 and spin-3/2 interpolating fields. These sum rules allow a determination of the scalar self-energy of the nucleon independent of the…

Nuclear Theory · Physics 2007-05-23 Derek B. Leinweber , Xuemin Jin , R. J. Furnstahl

Two new QCD sum rules for nucleons in nuclear matter are obtained from a mixed correlator of spin-1/2 and spin-3/2 interpolating fields. These new sum rules, which are insensitive to the poorly known four-quark condensates, provide…

Nuclear Theory · Physics 2009-10-28 R. J. Furnstahl , Xuemin Jin , Derek B. Leinweber

We study the generalized sum rules and polarizabilities of the nucleon in the framework of the hypercentral constituent quark model. We include in the calculation all the well known $3^*$ and $4^*$ resonances and consider all the…

High Energy Physics - Phenomenology · Physics 2010-03-02 M. Gorchtein , D. Drechsel , M. M. Giannini , E. Santopinto , L. Tiator

It may appear that the recently found resonance at 125 GeV is not the only Higgs boson. We point out the possibility that the Higgs bosons appear in models of top-quark condensation, where the masses of the bosonic excitations are related…

High Energy Physics - Phenomenology · Physics 2015-06-15 G. E. Volovik , M. A. Zubkov

Based on an effective Lagrangian which combines chiral SU(3) dynamics with vector meson dominance, we have developed a model for the s-wave vector meson-nucleon scattering amplitudes. We use this as an input for the low energy part of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Klingl , W. Weise

The mass formulas and decay constants of electrically charged and strange pseudoscalar mesons are analyzed within the combined framework of Nambu -- Jona-Lasinio model and the $1/N_c$ expansion up to $\mathcal O(1/N_c^2)$. The light quark…

High Energy Physics - Phenomenology · Physics 2023-07-28 A. A. Osipov

A new QCD sum rule analysis on the spin-isospin averaged $\rho$, $\omega$ and $\phi$ meson-nucleon scattering lengths is presented. By introducing the constraint relation on the the low energy limit of the vector-current nucleon forward…

Nuclear Theory · Physics 2009-10-30 Yuji Koike , A. Hayashigaki

In light of the forthcoming high precision quasielastic electron scattering data from Jefferson Lab, it is timely for the various approaches to nuclear structure to make robust predictions for the associated response functions. With this in…

Nuclear Theory · Physics 2016-01-27 Ian C. Cloët , Wolfgang Bentz , Anthony W. Thomas

The sum rules serve a powerful tool to study the nucleon structure by providing a bridge between the statical properties of the nucleon (such as electrical charge, and magnetic moment) and the dynamical properties (e.g. the transition…

High Energy Physics - Phenomenology · Physics 2010-03-02 M. Gorchtein , D. Drechsel , M. M. Giannini , E. Santopinto

The isoscalar and isovector collective multipole excitations in stable nuclei are studied in the framework of relativistic random-phase approximation with the vacuum polarization arising from the nucleon-antinucleon field. A fully…

Nuclear Theory · Physics 2007-05-23 A. Haga , H. Toki , S. Tamenaga , Y. Horikawa

Charge sum rules for quark fragmentation functions are studied. The simultaneous implementation of the conservation of electric and baryon charges, strangeness and isospin symmetry is achieved when the fragmentation to both mesons and…

High Energy Physics - Phenomenology · Physics 2025-09-24 D. Kotlorz , O. V. Teryaev

QCD sum rules for D and B mesons embedded in cold nuclear matter are evaluated. We quantify the mass splitting of D - D-bar and B - B-bar mesons as a function of the nuclear matter density; extrapolated to saturation density it is in the…

Nuclear Theory · Physics 2009-09-29 T. Hilger , R. Thomas , B. Kampfer

Vector mesons show up in the electromagnetic current-current correlator. QCD sum rules provide a constraint on hadronic models for this correlator. This constraint is discussed for the case of finite nuclear density concerning the…

Nuclear Theory · Physics 2008-11-26 Stefan Leupold , Ulrich Mosel

This paper is a continuation of the previous study [\v{S}amaj, L.: J. Stat. Phys. {\bf 137}, 1-17 (2009)], where a sequence of sum rules for the equilibrium charge and current density correlation functions in an infinite (bulk) quantum…

Statistical Mechanics · Physics 2010-04-15 Ladislav Samaj , Bernard Jancovici

Open charm mesons (pseudo-scalar and scalar as well as axial-vector and vector) propagating or resting in nuclear matter display an enhanced sensitivity to the chiral condensate. This offers new prospects to seek for signals of chiral…

Nuclear Theory · Physics 2014-11-20 T. Hilger , R. Schulze , B. Kampfer

We use QCD sum rules to study the possible existence of $QQ-\bar{u}\bar{d}$ mesons, assumed to be a state with $J^{P}=1^{+}$. For definiteness, we work with a current with an axial heavy diquark and a scalar light antidiquark, at leading…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fernando S. Navarra , Marina Nielsen , Su Houng Lee

QCD sum rules are studied for the vector-isovector current at finite baryon density in the limit of large number of colors N_c. For the condensate side it is shown that in this limit the four-quark condensate factorizes also for the finite…

Nuclear Theory · Physics 2009-11-10 Stefan Leupold , Marcus Post
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