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The derivative of the topological susceptibility at zero momentum and an estimate of $\eta^1$ mass in the chiral limit

Pasupathy, J and Singh, JP and Singh, RK and Upadhyay, A (2005) The derivative of the topological susceptibility at zero momentum and an estimate of $\eta^1$ mass in the chiral limit. [Preprint]

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Abstract

The anomaly-anomaly correlator is studied using QCD sum rules. Using the matrix elements of anomaly between vacuum and pseudoscalars \pi, \eta and $\eta^1$, the derivative of correlator $X�^1(0)$ is evaluated and found to be $\approx 1.82 \times 10^-^3 GeV^2$. Assuming that $X�^1(0)$ has no significant dependence on quark masses, the mass of η� in the chiral limit is found to be \approx723 MeV. The same calculation also yields for the singlet pseudoscalar decay constant in the chiral limit a value of \approx 178 MeV.

Item Type: Preprint
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 21 Feb 2006
Last Modified: 19 Sep 2010 04:23
URI: http://eprints.iisc.ernet.in/id/eprint/5520

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