Current Commutators, Dispersion Relations, and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>l</mi><mn>3</mn><mn></mn></mrow></msub></mrow></math></span> Form Factors

E. E. Radescu

doi:10.1103/PhysRevD.2.142

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Current Commutators, Dispersion Relations, and $K_{l 3}$ Form Factors

E. E. Radescu^*

International Atomic Energy Agency, International Centre for Theoretical Physics, Miramare-Trieste, Italy

^*On leave of absence from the Institute for Atomic Physics, Bucharest, Romania.

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Phys. Rev. D 2, 142 – Published 1 July, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.142

Abstract

We present a treatment of $K_{l 3}$ decays based on current commutators and using a covariant sum-rule formulation. Working in a general kinematical configuration and dispersing on a line (in the plane of the squared pion mass and of the momentum transfer) which belongs to a family of curves all parallel to the "steepest" (kaon rest frame) parabola, we write down definite expressions for the form factors $f_{+}$ and $f_{-}$ . The relation of our procedure to other recently reported approaches is discussed.

References (9)

M. Ademollo, G. Denardo, and G. Furlan, Nuovo Cimento 57A, 1 (1968)
S. Fubini and G. Furlan, Ann. Phys. (N. Y.) 48, 322 (1968)
C. G. Callan and S. B. Treiman, Phys. Rev. Letters 16, 153 (1966)
G. Denardo and G. J. Komen, Nucl. Phys. B14, 593 (1969)
M. Micu and E. E. Radescu, Nuovo Cimento 61A, 737 (1969)
D. W. McKay, J. M. McKisic, and W. W. Wada, Phys. Rev. 184, 1609 (1969)
D. Haidt et al., Phys. Letters 29B, 696 (1969)
L. K. Pande, Phys. Rev. Letters 23, 357 (1969)
T. G. Trippe et al., Phys. Letters 28B, 203 (1968)

[c1] M. Ademollo, G. Denardo, and G. Furlan, Nuovo Cimento 57A, 1 (1968)

[c2] S. Fubini and G. Furlan, Ann. Phys. (N. Y.) 48, 322 (1968)

[c3] C. G. Callan and S. B. Treiman, Phys. Rev. Letters 16, 153 (1966)

[c4] G. Denardo and G. J. Komen, Nucl. Phys. B14, 593 (1969)

[c5] M. Micu and E. E. Radescu, Nuovo Cimento 61A, 737 (1969)

[c6] D. W. McKay, J. M. McKisic, and W. W. Wada, Phys. Rev. 184, 1609 (1969)

[c7] D. Haidt et al., Phys. Letters 29B, 696 (1969)

[c8] L. K. Pande, Phys. Rev. Letters 23, 357 (1969)

[c9] T. G. Trippe et al., Phys. Letters 28B, 203 (1968)

Physical Review D

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Current Commutators, Dispersion Relations, and $K_{l 3}$ Form Factors

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Current Commutators, Dispersion Relations, and Kl3 Form Factors

Abstract

References (9)

Current Commutators, Dispersion Relations, and $K_{l 3}$ Form Factors