Abbas, Gauhar and Ananthanarayan, B (2009) Improved bounds on the radius and curvature of the K pi scalar form factor and implications to lowenergy theorems. In: European Physical Journal A, 41 (1). pp. 711.

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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 wellknown CallanTreiman point m(K)(2)m(pi)(2), as well as at m(pi)(2)m(K)(2), which we call the second CallanTreiman 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 CallanTreiman point reduce the oneloop result by about 3% with FK/Fpi = 1.21. Such a variation in magnitude at the second CallanTreiman 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 GeV4 less than or similar to c less than or similar to 1.47 GeV4 and a strong correlation between them. A smaller value of FK/Fpi 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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