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Effect of "Weighted" Linear Transformations on Chiral SU 3 ⊗ SU 3 Mass Breaking

Effect of "Weighted" Linear Transformations on Chiral SU 3 ⊗ SU 3 Mass Breaking An extension of an earlier work is presented where octet breaking in S U 3 symmetry was used together with a "weighted" linear transformation for the physical fields to determine the effect of symmetry breaking by mass splitting on the K l 3 form factors. We generalize to chiral SU 3 ⊗ SU 3 and examine the relationships between the "weighted" linear transformations, the form of intrinsic symmetry breaking, and the physical-mass sum rules. It is realized that the transformation properties of the physical Hamiltonian do differ from a simple ( 3 , 3 * ) ⊕ ( 3 * , 3 ) form. Consistent physical-mass sum rules are derived between the scalar and pseudoscalar particles. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

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