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 |
|---|---|
| Publication: | Los Alamos National Laboratory, Preprint Archive, High Energy Physics--Phenomenology |
| 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.ac.in/id/eprint/5520 |
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