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The contribution of nucleons to the quark condensate in nuclear matter includes a piece of first order in $m_\pi$, arising from the contribution of low-momentum virtual pions to the $\pi N$ sigma commutator. Chiral symmetry requires that no…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael C. Birse

We review various approaches to the calculation of QCD condensates and of the nucleon characteristics in nuclear matter. We show the importance of their self-consistent treatment. The first steps in such treatment appeared to be very…

Nuclear Theory · Physics 2009-11-07 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

By matching the world of hadrons to that of some effective chiral quark theory, we determine the induced condensates for QCD sum rules in the presence of an external pion field. The observed values of the strong and weak $\pi NN$ coupling…

High Energy Physics - Phenomenology · Physics 2014-11-17 W-Y. P. Hwang

Soft-pion theorems are used to show how chiral symmetry constrains the contributions of low-momentum pions to the quark condensate, the pion decay constant and hadron masses, all of which have been proposed as signals of partial restoration…

Nuclear Theory · Physics 2007-05-23 Michael C. Birse

Standard QCD sum-rule analyses of the nucleon mass give results that are inconsistent with chiral perturbation theory due to an overly simple continuum ansatz on the phenomenological side of the sum rule. We show that a careful treatment of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Su Houng Lee , Seungho Choe , Thomas D. Cohen , David K. Griegel

The modification of the $\phi$ meson spectrum in nuclear matter is studied in an updated QCD sum rule analysis, taking into account recent improvements in properly treating the chiral invariant and breaking components of four-quark…

High Energy Physics - Phenomenology · Physics 2022-07-01 Jisu Kim , Philipp Gubler , Su Houng Lee

Partial restoration in nuclear matter of the chiral symmetry of QCD is discussed together with some of its possible signals. Estimates of corrections to the leading, linear dependence of the quark condensate are found to be small, implying…

Nuclear Theory · Physics 2009-10-28 Michael C. Birse

The partial restoration of chiral symmetry in nuclear medium is investigated in a model independent way by exploiting operator relations in QCD. An exact sum rule is derived for the quark condensate valid for all density. This sum rule is…

Nuclear Theory · Physics 2008-12-18 D. Jido , T. Hatsuda , T. Kunihiro

We calculate the nucleon parameters in symmetric nuclear matter employing the QCD sum rules approach. We focus on the average energy per nucleon and study the equilibrium states of the matter. We treat the matter as a relativistic system of…

Nuclear Theory · Physics 2019-03-27 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

A recent chiral perturbation theory calculation of the in-medium quark condensate $<\bar q q>$ is extended to the isospin-asymmetric case of pure neutron matter. In contrast to the behavior in isospin-symmetric nuclear matter we find only…

Nuclear Theory · Physics 2009-01-16 N. Kaiser , W. Weise

We show that at certain values of QCD condensates the nucleon QCD sum rules with "pole+continuum" model for the hadron spectrum obtain an unphysical solution. This provides constrains for the values of condensates to be consistent with…

Nuclear Theory · Physics 2010-04-28 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

We employ the QCD sum rules method for description of nucleons in nuclear matter. We show that this approach provides a consistent formalism for solving various problems of nuclear physics. Such nucleon characteristics as the Dirac…

Nuclear Theory · Physics 2015-05-20 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

We calculate the nucleon parameters in nuclear matter using the QCD sum rules approach in Fermi gas approximation. Terms up to 1/q^2 in the operator product expansion (OPE) are taken into account. The higher moments of the nucleon structure…

Nuclear Theory · Physics 2009-11-10 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova , Th. Gutsche , Amand Faessler

A new QCD calculation of the mass of the nucleon is presented. It makes use of a polynomial kernel in the dispersion integrals tailored to practically eliminate the contribution of the unknown 1=2+ and 1=2- continuum. This approach avoids…

High Energy Physics - Phenomenology · Physics 2014-04-23 Nasrallah F. Nasrallah , Karl Schilcher

QCD sum rules for the nucleon are considered in complex q^2 plane with inclusion of the radiative corrections of the order alpha_s. It is shown that the radiative corrections affect mainly the residue lambda^2 of the nucleon pole. Their…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Sadovnikova , E. G. Drukarev , M. G. Ryskin

QCD sum rules are useful tools for studying the spectral properties of hadrons; however, assumptions underlying standard sum-rule analyses can lead to inconsistencies with known results of chiral perturbation theory. This possibility is…

High Energy Physics - Phenomenology · Physics 2009-10-28 David K. Griegel , Thomas D. Cohen

Equation of state (EOS) of pure neutron matter (PNM) is studied in QCD sum rules (QCDSR). It is found that the QCDSR results on EOS of PNM are in good agreement with predictions by current advanced microscopic many-body theories. Moreover,…

Nuclear Theory · Physics 2018-05-30 Bao-Jun Cai , Lie-Wen Chen

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

We derive the equation of state of symmetric nuclear matter in a relativistic theory with $\sigma$ and $\omega$ exchange. We take a chiral version of this model which insures all the chiral constraints. Going beyond the mean field approach…

Nuclear Theory · Physics 2008-11-26 G. Chanfray , M. Ericson

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
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