The $πNN$ and $πNN(1535)$ couplings in QCD

Details The $πNN$ and $πNN(1535)$ couplings in QCD The $πNN$ and $πNN(1535)$ couplings in QCD

1998-09-11

arxiv.org/abs/nucl-th/9809033v1

Phys.Rev.C59:442-450,1999

Physics

Nuclear Physics

Nuclear Theory

Submitted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.59.442

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. We first improve the original sum rule for $g_{\pi NN}$ and determine the value of the pion wave function at the middle point $\phi_\pi (u_0 ={1\over 2})=(1.5\pm 0.2)$ at $\mu =1$GeV, which is a fundamental nonperturbative quantity like the quark condensate. Our calculation shows that the $\pi N N(1535)$ coupling is strongly suppressed.

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