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Improved bounds on the radius and curvature of the K pi scalar form factor and implications to low-energy theorems

Abbas, Gauhar and Ananthanarayan, B (2009) Improved bounds on the radius and curvature of the K pi scalar form factor and implications to low-energy theorems. In: European Physical Journal A, 41 (1). pp. 7-11.

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Official URL: http://www.springerlink.com/content/r7h90838400252...

Abstract

We obtain stringent bounds in the < r(2)>(K pi)(S)-c plane where these are the scalar radius and the curvature parameters of the scalar K pi form factor, respectively, using analyticity and dispersion relation constraints, the knowledge of the form factor from the well-known Callan-Treiman point m(K)(2)-m(pi)(2), as well as at m(pi)(2)-m(K)(2), which we call the second Callan-Treiman point. The central values of these parameters from a recent determination are accomodated in the allowed region provided the higher loop corrections to the value of th form factor at the second Callan-Treiman point reduce the one-loop result by about 3% with F-K/F-pi = 1.21. Such a variation in magnitude at the second Callan-Treiman point yields 0.12 fm(2) less than or similar to < r(2)>(K pi)(S) less than or similar to 0.21 fm(2) and 0.56 GeV-4 less than or similar to c less than or similar to 1.47 GeV-4 and a strong correlation between them. A smaller value of F-K/F-pi shifts both bounds to lower values.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Springer.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 20 Aug 2009 11:41
Last Modified: 22 Feb 2012 06:34
URI: http://eprints.iisc.ernet.in/id/eprint/21479

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