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We use QCD sum rules for the three point function of a pseudoscalar and two nucleonic currents in order to estimate the charge dependence of the pion nucleon coupling constant $g_{NN\pi}$ coming from isospin violation in the strong…

Nuclear Theory · Physics 2008-11-26 T. Meissner , E. M. Henley

We use the method of QCD sum rules in the presence of an external pion field to investigate isospin symmetry breakings in pion-nucleon couplings. Possible manifestations of such isospin symmetry breaking are examined in the context of…

Nuclear Theory · Physics 2009-09-25 W-Y. P. Hwang , Ze-sen Yang , Y. S. Zhong , Z. N. Zhou , Shi-lin Zhu

We use QCD sum rules for the three point function of a pseudoscalar and two nucleonic currents in order to estimate the charge dependence of the pion nucleon coupling constant coming from isospin violation in the strong interaction. The…

Nuclear Theory · Physics 2009-10-30 T. Meissner , E. M. Henley

We examine the effect of isospin-violating meson-nucleon coupling constants on low-energy pion-nucleon scattering. We compute the couplings in the context of a nonrelativistic quark model. The difference between the up and down constituent…

Nuclear Theory · Physics 2011-02-01 Jorge Piekarewicz

Isospin symmetry breaking in the quark condensates, $< \bar dd> \not= < \bar uu>$, is a fundamental parameter in both the QCD sum rule studies and the chiral perturbation theory. In this article, we apply the QCD sum rule method to treat…

High Energy Physics - Phenomenology · Physics 2007-05-23 W-Y. P. Hwang , Kwei-Chou Yang

We consider CP violating effects in the decays $\tau\rightarrow (3\pi)\nu_\tau$ where both the ${\rm J}^{\rm P}=1^+$ resonance, $a_1$, and ${\rm J}^{\rm P}=0^-$ resonance, $\pi^\prime$, can contribute. The interference between the $a_1$ and…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. Y. Choi , K. Hagiwara , M. Tanabashi

We use QCD sum rules to obtain the weak parity-violating pion-nucleon coupling constant $f_{\pi NN}$. We find that $f_{\pi NN}\approx 3\times 10^{-8}$, up to an order of magnitude smaller than the ``best estimates" based on quark models.…

Nuclear Theory · Physics 2016-09-08 E. M. Henley , W-Y. P. Hwang , L. S. Kisslinger

We calculate the direct $CP$ violation for the decay process of ${B}^{0}\rightarrow \pi^{0}\pi^{0}$, ${B}^{+}\rightarrow \pi^{0}\pi^{+}$, ${B}^{0}\rightarrow K^{0}\pi^{0}$ and ${B}^{+}\rightarrow K^{+}\pi^{0}$ via isospin symmetry breaking…

High Energy Physics - Phenomenology · Physics 2020-07-22 Gang Lü , Liang-chen Liu , Qin-Qin Zhi

The isospin breaking in the nucleon isovector axial charge, $g_A^3$, are calculated within the external field QCD sum-rule approach. The isospin violations arising from the difference in up and down current quark masses and in up and down…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xuemin Jin

Isospin symmetry is well fulfilled in the QCD vacuum, as evidenced by small mass differences of isospin partners and suppressed isospin-violating decays. Recently, the NA61/SHINE collaboration reported an unexpectedly large…

Nuclear Theory · Physics 2025-10-01 Francesco Giacosa , Martin Rohrmoser

The nucleon-pion-state contribution in the QCD 3-point function of the pseudoscalar density is calculated to leading order in chiral perturbation theory. It predicts a nucleon-pion-state contamination in lattice estimates for the…

High Energy Physics - Lattice · Physics 2019-09-20 Oliver Bar

We investigate the QCD phase diagram as a function of isospin chemical potential at a fixed temperature by directly putting large numbers of \pi^+s into the system. Correlation functions of N \pi^+s systems involves N!N! contractions, and…

High Energy Physics - Lattice · Physics 2012-02-15 Zhifeng Shi , William Detmold

We use QCD sum rules to obtain the weak parity-violating pion-nucleon coupling constant $f_{\pi NN}$. We find that $f_{\pi NN}\approx 2\times 10^{-8}$, about an order of magnitude smaller than the ``best estimates'' based on quark models.…

Nuclear Theory · Physics 2014-11-18 E. M. Henley , W-Y. P. Hwang , L. S. Kisslinger

We revisit the QCD sum-rule treatment of the isospin-breaking axial correlator in light of the recent claim that a previous treatment produced results incompatible with known chiral constraints. The source of the error in the previous…

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

Mixing of the pseudoscalar mesons is discussed in the quark-flavor basis with the hypothesis that the basis decay constants follow the pattern of particle state mixing. The divergences of the axial vector currents which embody the axial…

High Energy Physics - Phenomenology · Physics 2025-01-22 P. Kroll

Within the conventional QCD sum rules, we calculate the $\pi NN$ coupling constant, $g_{\pi N}$, beyond the chiral limit using two-point correlation function with a pion. We consider the Dirac structure, $i\gamma_5$, at $m_\pi^2$ order,…

Nuclear Theory · Physics 2015-06-26 Hungchong Kim

The isospin-breaking vector meson decay constants are determined from a QCD sum rule analysis of the vector current correlator $<O| T(V^3_\mu V^8_\nu)| O>$, using a recently proposed implementation of the finite energy sum rule approach.…

High Energy Physics - Phenomenology · Physics 2016-08-25 Kim Maltman , Carl E. Wolfe

The direct CP asymmetry in quasi-two-body decays of $B \rightarrow (V\rightarrow \pi^{+}\pi^{-})P $ is investigated in the perturbative QCD method, where P represents a pseudoscalar meson and V refers to $\rho$, $\omega$ and $\phi$ mesons,…

High Energy Physics - Phenomenology · Physics 2024-11-05 Wan-Ying Yao , Gang Lü , Xin-Heng Guo , Hai-Feng Ou

Taking into account the $SU(3)_f$ breaking effects, the strong coupling constants of the $\pi$, $K$ and $\eta$ mesons with decuplet baryons are calculated within light cone QCD sum rules method. It is shown that all coupling constants, even…

High Energy Physics - Phenomenology · Physics 2015-05-13 T. M. Aliev , K. Azizi , A. Ozpineci , M. Savci

Coupling constants of the pseudoscalar mesons to the octet baryons are calculated in the QCD sum rule approach. Two-point correlation function of the baryons are evaluated in a single meson state and the vacuum, which yields the designated…

High Energy Physics - Phenomenology · Physics 2011-07-19 Takumi Doi , Yoshihiko Kondo , Makoto Oka
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