Charge-dependence of the $πNN$ coupling constant and charge-dependence of the NN interaction

Details Charge-dependence of the $πNN$ coupling constant and charge-dependence of the NN interaction Charge-dependence of the $πNN$ coupling constant and charge-dependence of the NN interaction

1999-08-20

arxiv.org/abs/nucl-th/9908066v1

Few Body Syst. 28 (2000) 139-146

Physics

Nuclear Physics

Nuclear Theory

9 pages, fbs styles, 1 figure; dedicated to Walter Gl\"ockle on the occasion of his 60th birthday

Scientific paper

The recent determination of the charged $\pi NN$ coupling constant, $g_{\pi^\pm}$, by the Uppsala Neutron Research Group implies that there may be considerable charge-splitting of the pion coupling constant. We investigate the consequences of this for the charge-independence breaking (CIB) of the $^1S_0$ scattering length, $\Delta a_{CIB}$. We find that $\Delta a_{CIB}$ depends sensitively on the difference between $g_{\pi^\pm}$ and the neutral $\pi NN$ coupling constant, $g_{\pi^0}$. Moreover, if $g^2_{\pi^\pm}$ is only about 3% larger than $g^2_{\pi^0}$, then the established theoretical explanation of $\Delta a_{CIB}$ (in terms of pion mass splitting) is completely wiped out.

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