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The momentum-dependence of the $\rho^0$-$\omega$ mixing contribution to charge-symmetry breaking (CSB) in the nucleon-nucleon interaction is compared in a variety of models. We focus in particular on the role that the structure of the quark…

Nuclear Theory · Physics 2009-10-22 G. Krein , A. W. Thomas , A. G. Williams

We study the self-energy amplitudes for the rho-omega meson system produced by an effective field theory model at the quark level characterized by a finite range quark-quark interaction and an isospin breaking bare quark mass difference…

Nuclear Theory · Physics 2008-11-26 K. L. Mitchell , P. C. Tandy

The momemtum dependence of the off-shell $\rho$-$\omega$ mixing amplitude is calculated through a two-quark loop diagram, using non-perturbative meson-quark vertex functions for the $\rho$ and $\omega$ mesons, as well as non-perturbative…

Nuclear Theory · Physics 2008-11-26 A. N. Mitra , K. -C. Yang

It is shown that including form factors for the quark-pseudoscalar meson couplings of the Georgi-Manohar chiral quark model allows one to obtain the leading off-shell dependence of $\pi^{o}- \eta$ mixing (as predicted by chiral perturbation…

Nuclear Theory · Physics 2008-11-26 Kim Maltman , T. Goldman

In this paper, U(3)$_L\times$ U(3)$_R$ chiral theory of mesons is extended to the leading order in quark mass expansion in order to evaluate the $\rho^0-\omega$ mixing. It is shown that the use of path integral method to integrate out the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dao-Neng Gao , Mu-Lin Yan

Charge independence and symmetry are approximate symmetries of nature. The observations of the small symmetry breaking effects and the consequences of those effects are reviewed. The effects of the mass difference between up and down quarks…

Nuclear Theory · Physics 2011-02-01 G. A. Miller

The role of the off-shell dependence of $\rho-\omega$ mixing in the charge symmetry breaking nucleon-nucleon potential is discussed. It is shown that models describing the off-shell dependence of $\rho-\omega$ mixing are not sufficient to…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen , Gerald A. Miller

We present a relativistic mean-field model that incorporates charge symmetry breaking (CSB) of nuclear force via $ \omega $-$ \rho^0 $ meson mixing, along with corrections to the electromagnetic interaction including the nucleon form…

Nuclear Theory · Physics 2025-10-21 Yusuke Tanimura , Tomoya Naito , Hiroyuki Sagawa , Myung-Ki Cheoun

Two model-independent results on the momentum-dependence of $\rho$-$\omega$ mixing are described. First, an explicit choice of interpolating fields for the vector mesons is displayed for which both the mixing in the propagator and the…

Nuclear Theory · Physics 2009-10-28 Kim Maltman

It is pointed out that the meson mixing matrix elements usually considered responsible for the bulk of the observed few-body charge symmetry breaking are naturally $q^2$-dependent in QCD. For $\pi^o-\eta$ mixing, using the usual…

Nuclear Theory · Physics 2009-10-22 Kim Maltman

We compute isospin-violating meson-nucleon coupling constants and their consequent charge-symmetry-breaking nucleon-nucleon potentials. The couplings result from evaluating matrix elements of quark currents between nucleon states in a…

Nuclear Theory · Physics 2008-11-26 S. Gardner , C. J. Horowitz , J. Piekarewicz

The $q^2$ dependence of the $\rho-\omega$ mixing amplitude is analyzed with the use of the QCD sum rules and the dispersion relation. Going off shell the mixing decreases, changes sign at $q^2 \simeq 0.4 m_{\rho}^2 > 0$ and is negative in…

Nuclear Theory · Physics 2008-11-26 T. Hatsuda , E. M. Henley , Th. Meissner , G. Krein

Using a quark model, we study the effect of charge symmetry breaking on the valence quark distributions of the nucleon. The effect due to quark mass differences and the Coulomb interaction of the electrically charged quarks is calculated…

Nuclear Theory · Physics 2008-11-26 C. J. Benesh , T. Goldman

We investigate the splitting and mixing of $\rho$ and $\omega$ mesons in nuclear matter. The calculations were performed on the basis of QCD sum rules and include all operators up to mass dimension-6 twist-4 and up to first order in the…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. Zschocke , B. Kampfer

We construct the charge symmetry violating (CSV) nucleon-nucleon potential induced by the $\rho^0$-$\o$ mixing due to the neutron-proton mass difference driven by the $NN$ loop. Analytical expression for for the two-body CSV potential is…

Nuclear Theory · Physics 2008-11-26 Subhrajyoti Biswas , Pradip Roy , Abhee K. Dutt-Mazumder

The $\rho\omega$--mixing generated by the isospin breaking of the current quark masses $m_{u} \neq m_{d}$ is studied within the bosonized NJL model in the gradient expansion. The resulting effective meson lagrangian naturally incorperates…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Friedrich , H. Reinhardt

We investigate three models for the charge symmetry breaking (CSB) of the nucleon-nucleon ($NN$) interaction (based upon $\rho$-$\omega$ mixing, nucleon mass splitting, and phenomenology) that all reproduce the empirical value for the CSB…

Nuclear Theory · Physics 2009-11-06 R. Machleidt , H. Müther

Using a purely hadronic model, we study the charge-symmetry-breaking $\rho$-$\omega$, $\sigma$-$\delta$, $\sigma$-$\rho$ and $\delta$-$\omega$ mixing amplitudes in isospin asymmetric nuclear matter. The basic assumption of the model is that…

Nuclear Theory · Physics 2009-11-07 Yoshiharu Mori , Koichi Saito

Contributions of two-pseudoscalar and vector-pseudoscalar meson loops to the rho-omega mass splitting are evaluated in a covariant model based on studies of the Schwinger-Dyson equations of QCD. The role and importance of the different time…

Nuclear Theory · Physics 2009-10-31 M. A. Pichowsky , Sameer Walawalkar , Simon Capstick

We calculate the momentum dependence of the $\rho-\omega$ mixing amplitude in a purely hadronic model. The basic assumption of the model is that the mixing amplitude is generated by $N{\bar{N}}$ loops and thus driven entirely by the…

Nuclear Theory · Physics 2008-11-26 J. Piekarewicz , A. G. Williams
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