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Related papers: Couplings of NN(n\pi) n \geq 1

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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

Effects of non-resonant photoproductions arising from two different $\pi NN$ couplings are investigated in the $\gamma N\to\pi\pi N$ reaction. We find that the pseudoscalar (PS) $\pi NN$ coupling is generally preferable to the pseudovector…

Nuclear Theory · Physics 2009-11-07 M. Hirata , N. Katagiri , T. Takaki

Meson-baryon couplings between positive and negative parity nucleons are investigated using two point correlation functions in the soft meson and the chiral limit. We find that the pi NN* coupling vanishes due to chiral symmetry, while the…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Jido , Y. Nemoto , M. Oka , A. Hosaka

We study the N pi N coupling, in the framework of a QCD-inspired confining Nambu-Jona-Lasinio model. A simple relativistic confining and instantaneous quark model is reviewed. The Salpeter equation for the nucleon and the boosted pion is…

Nuclear Theory · Physics 2008-11-26 P. Bicudo , J. Ribeiro

The pions decouple from quarks while their coupling to nucleons $g_{\pi NN}$ remains unchanged at high density. This will have consequences for some recent papers.

High Energy Physics - Phenomenology · Physics 2009-11-11 Manjari Bagchi , Monika Sinha , Mira Dey , Jishnu Dey

There exist four pion nucleon coupling constants, $f_{\pi^0, pp}$, $-f_{\pi^0, nn}$, $f_{\pi^+, pn} /\sqrt{2}$ and $ f_{\pi^-, np} /\sqrt{2}$ which coincide when up and down quark masses are identical and the electron charge is zero. While…

Nuclear Theory · Physics 2016-09-21 E. Ruiz Arriola , J. E. Amaro , R. Navarro Perez

We study the possibility of measuring parity-violating pion-nucleon coupling h_{\pi NN}^{(1)} from \pi^+ electroproton production in the threshold region. We calculate the electron-helicity asymmetry in terms of h_{\pi NN}^{(1)} and the…

Nuclear Theory · Physics 2009-11-06 Jiunn-Wei Chen , Xiangdong Ji

For $N\in\mathbb{N}$, let $\pi_N$ be the law of the number of fixed points of a random permutation of $\{1, 2, ..., N\}$. Let $\mathcal{P}$ be a Poisson law of parameter 1.A classical result shows that $\pi_N$ converges to $\mathcal{P}$ for…

Probability · Mathematics 2023-05-05 Persi Diaconis , Laurent Miclo

A meson exchange model of the $\pi\pi$ interaction which fits free $\pi\pi$ scattering data is used to calculate the interactions of pions in nuclear matter as a function of nuclear density. Polarization of the nuclear medium by the pions…

Nuclear Theory · Physics 2009-10-30 R. Rapp , J. W. Durso , J. Wambach

We compute the couplings $DD^*\pi$,$D_1D^*\pi$,$D^*D^*\pi$, $D_1 D_1\pi$ using QCD sum rules. These couplings are important inputs in the meson exchange model calculations used to estimate the amount of $J/\psi$ absorption due to pions and…

High Energy Physics - Phenomenology · Physics 2011-09-13 Hungchong Kim , Su Houng Lee

We point out subtleties in the previous sum rule calculations of the $\pi NN$ coupling associated with using either the PV or the PS coupling schemes in modeling the phenomenological side. We propose a sum rule which is independent of the…

Nuclear Theory · Physics 2007-05-23 Hungchong Kim

The light cone QCD sum rules are derived for the $\pi NN$ coupling $g_{\pi NN}$ and $\pi NN(1535)$ coupling $g_{\pi NN^\ast}$. The contribution from the excited states and continuum is subtracted cleanly through double Borel transformation.…

Nuclear Theory · Physics 2008-11-26 Shi-Lin Zhu , W. -Y. P. Hwang , Yuan-Ben Dai

We calculate in baryon chiral perturbation theory the relativistic $1/M^2$-corrections to the leading order two-pion exchange diagrams. We give explicit expressions for the corresponding one-loop NN-amplitudes in momentum space. The…

Nuclear Theory · Physics 2009-11-07 N. Kaiser

This work provides a brief history of determinations of the pion-nucleon ($\pi N$) coupling constant from $\pi N$ and $N N$ data. From robust analyses of twenty reported values of the charged-pion coupling constant, exhibiting sizeable…

Nuclear Theory · Physics 2019-04-18 Evangelos Matsinos

We discuss aspects of a covariant QCD modeling of meson physics by illustrating applications to several coupling constants and form factors. In particular, we cover the $\rho\pi\pi$ and $\pi^0 \gamma \gamma$ interactions, the $\rho$…

Nuclear Theory · Physics 2007-05-23 Peter. C. Tandy

We start by studying the Goldberger-Treiman discrepancy (GTd) $\Delta = (2.259\pm 0.591)%$. Then we look at the $\pi N$ $\sigma$ term, with the dimensionless ratio $\sigma_N/2m_N=3.35%$. Finally we return to predicting (via the quark model)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Miroslav Nagy , Michael D. Scadron , Gerald E. Hite

Results of a relativistic model for pion- and photon-induced reactions on the proton are presented. The model is crossing symmetric and gauge invariant. The nucleon resonances P_11 (1440), P_11 (1710), D_13 (1520), S_11 (1535), S_11 (1650),…

Nuclear Theory · Physics 2009-10-31 A. Yu. Korchin , O. Scholten , R. G. E. Timmermans

The saturation properties of the nuclear matter taking pion correlations into account is studied. We construct a Bogoliubov transformations for the pion pair operators and calculate the energy associated with the pion pairs. The pion…

Nuclear Theory · Physics 2011-03-21 P. K. Panda , S. Sarangi , J. da Providência

In the framework of heavy baryon chiral perturbation theory, we give thIn the framework of heavy baryon chiral perturbation theory, we give the chiral expansion for the $\pi N \to \pi \pi N$ threshold amplitudes $D_1$ and $D_2$ to quadratic…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Bernard , N. Kaiser , Ulf-G. Meißner

A $NN\to NN^{\ast}(1440)$ transition potential, based on an effective quark-quark interaction and a constituent quark cluster model for baryons, is derived in the Born-Oppenheimer approach. The potential shows significant differences with…

Nuclear Theory · Physics 2016-08-16 B. Juliá-Díaz , A. Valcarce , P. González , F. Fernández
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