Unitarity relations and their application to meson-antimeson mixing

G. V. Dass

doi:10.1103/PhysRevD.60.017501

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Unitarity relations and their application to meson-antimeson mixing

G. V. Dass^*

Department of Physics, Indian Institute of Technology, Powai, Mumbai, 400 076, India

^*Email address: guruv@niharika.phy.iitb.ernet.in

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Phys. Rev. D 60, 017501 – Published 21 May, 1999

DOI: https://doi.org/10.1103/PhysRevD.60.017501

Abstract

The Hermiticity of the full Hamiltonian constrains the various structural properties (such as $f \leftrightarrow \bar{f}$ oscillations) of the complex formed by a neutral flavored meson f and its antiparticle $\bar{f} .$ These “unitarity” constraints are written, following Kabir and Pilaftsis. The evaluation of the structural amptitudes at small values of the proper time brings out the inadequacy of the usual phenomenology based on the Weisskopf-Wigner approximation. Some known asymmetries could experimentally check this in the future.

References (9)

P. K. Kabir and A. Pilaftsis, Phys. Rev. A 53, 66 (1996).
P. K. Kabir, Phys. Rev. D 2, 540 (1970).
M. Hayakawa and A. I. Sanda, Phys. Rev. D 48, 1150 (1993).
CPLEAR Collaboration, R. Adler et al., in Proceedings Workshop on K Physics, Orsay, France, 1996, CERN Report No. CERN-PRE/96-189; T. Ruf, XVI International Conference on Physics in Collision, Mexico City, 1996, CERN Report No. CERN-PPE/96-190 (1996).
CLEO Collaboration, J. Bartelt et al., Phys. Rev. Lett. 71, 1680 (1993).
G. V. Dass and K. V. L. Sarma, Phys. Rev. Lett. 72, 191 (1994); ibid.72, 1573(E) (1994).
P. K. Kabir, in Ergebinesse der Exakten Naturwissenschaften, edited by G. Höhler, Springer Tracts in Modern Physics, Vol. 52 (Springer-Verlag, Berlin, 1970), p. 91.
G. V. Dass, Phys. Rev. D 45, 980 (1992); ibid.49, 1672(E) (1994).
Leonid A. Khalfin, Found. Phys. 27, 1549 (1997); “New Results on the CP-Violation Problem,” Report No. DOE-ER 40200-211; and “A New CP-Violation Effect and a New Possibility for Investigation of $K_{s}^{0} {, K}_{L}^{0} {(K}^{0}, K^{0})$ Decay Modes,” Report No. DOE-ER 40200-247 (1991), both reports from The Centre for Particle Theory, The University of Texas at Austin.

[c1] P. K. Kabir and A. Pilaftsis, Phys. Rev. A 53, 66 (1996).

[c2] P. K. Kabir, Phys. Rev. D 2, 540 (1970).

[c3] M. Hayakawa and A. I. Sanda, Phys. Rev. D 48, 1150 (1993).

[c4] CPLEAR Collaboration, R. Adler et al., in Proceedings Workshop on K Physics, Orsay, France, 1996, CERN Report No. CERN-PRE/96-189; T. Ruf, XVI International Conference on Physics in Collision, Mexico City, 1996, CERN Report No. CERN-PPE/96-190 (1996).

[c5] CLEO Collaboration, J. Bartelt et al., Phys. Rev. Lett. 71, 1680 (1993).

[c6] G. V. Dass and K. V. L. Sarma, Phys. Rev. Lett. 72, 191 (1994); ibid.72, 1573(E) (1994).

[c7] P. K. Kabir, in Ergebinesse der Exakten Naturwissenschaften, edited by G. Höhler, Springer Tracts in Modern Physics, Vol. 52 (Springer-Verlag, Berlin, 1970), p. 91.

[c8] G. V. Dass, Phys. Rev. D 45, 980 (1992); ibid.49, 1672(E) (1994).

[c9] Leonid A. Khalfin, Found. Phys. 27, 1549 (1997); “New Results on the CP-Violation Problem,” Report No. DOE-ER 40200-211; and “A New CP-Violation Effect and a New Possibility for Investigation of $K_{s}^{0} {, K}_{L}^{0} {(K}^{0}, K^{0})$ Decay Modes,” Report No. DOE-ER 40200-247 (1991), both reports from The Centre for Particle Theory, The University of Texas at Austin.

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Unitarity relations and their application to meson-antimeson mixing

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