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πNNandπNN(1535)couplings in QCD

1998/09/11 by Shi-Lin Zhu, W-Y. P. Hwang, W. -Y. P. Hwang +1 · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.59.442

published as Phys.Rev.C59:442-450,1999 · Submitted to Phys. Rev. C

arxiv created 1998/09/11 · openalex publication_date 1999/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the two point correlation function of two nucleon currents sandwiched between the vacuum and the pion state. The light cone QCD sum rules are derived for the \ensuremathπNN coupling g_\ensuremathπNN and the \ensuremathπNN(1535) coupling g_\ensuremathπNN*. The contribution from the excited states and the continuum is subtracted cleanly through the double Borel transform with respect to the two external momenta p12, p22=(p\ensuremath-q)2. We first improve the original sum rule for g_\ensuremathπNN and determine the value of the pion wave function \ensuremathφ_\ensuremathπ(u0=(1)/(2))=1.5\ifmmode±\else\textpm\fi0.2, which is a fundamental nonperturbative quantity similar to the quark condensate. Our calculation shows that the \ensuremathπNN(1535) coupling is strongly suppressed.

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