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Volumn 60, Issue 9, 1999, Pages

Bell inequalities for K°K° pairs from φ -resonance decays

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EID: 33750242910     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.094008     Document Type: Article
Times cited : (40)

References (49)
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    • edited by L. Maiani, G. Pancheri and N. Paver, INFN, Frascati
    • For the survey of the physics at the factory see "The Second Dane Physics Handbook," edited by L. Maiani, G. Pancheri and N. Paver, INFN, Frascati, 1995.
    • (1995) The Second Dane Physics Handbook
  • 18
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    • edited by R. Nair World Scientific, Singapore
    • A. Datta, in Quantum Queries, edited by R. Nair (World Scientific, Singapore, 1989).
    • (1989) Quantum Queries
    • Datta, A.1
  • 28
    • 0041165157 scopus 로고    scopus 로고
    • Phys. Rev. D 58, 034014 (1998)
    • For a related topic in the B system, see P. A. Bertlmann and W. Grimus, Phys. Lett. B 392, 426 (1997); Phys. Rev. D 58, 034014 (1998);
    • (1997) Phys. Lett. B , vol.392 , pp. 426
    • Bertlmann, P.A.1    Grimus, W.2
  • 31
    • 0002481295 scopus 로고
    • S/L|. For more details see, e.g., P. Huet and M. E. Peskin, Nucl. Phys. B434, 3 (1995). Note that this and some other papers go at some stage beyond quantum mechanics and need the density matrix formalism. Within conventional quantum mechanics, computing \A\2 via Eq. (2.5) or the density matrix formalism is the same, however.
    • (1995) Nucl. Phys. , vol.B434 , pp. 3
    • Huet, P.1    Peskin, M.E.2
  • 32
    • 33750232704 scopus 로고    scopus 로고
    • note
    • L. The easiest way to check the inconsistency of this point is to go to the CP-conserving limit and keep the exact AS=AQ rule. One obtains then, for instance, Tt[Ovvps]=l- and Tr[Oπe+pj] = Tr[oπe-vps]=l/2 thus violating the correct normalization of the probabilities (2.10). Stated otherwise, the proposal to measure probabilities involving A'/s by counting / decay events does not define a one-to-one mapping between Kf and/ to be used automatically in a quantitative way. Counting, for instance, the TTTT decay events in an initial Ks beam will not yield a probability equal to one. The point is of course that there are other decay modes such as the semileptonic one into which the same kaon can decay. Obviously, these comments do not exclude a proportionality relation between the probabilities (2.10) and the joint decay rale (2.8) as we will give in Eq. (2.22).
  • 33
    • 0000505836 scopus 로고
    • We have found that a similar definition of Kf have been used in H. Lipkin, Phys. Rev. 176, 1715 (1968).
    • (1968) Phys. Rev. , vol.176 , pp. 1715
    • Lipkin, H.1
  • 34
    • 85104160143 scopus 로고    scopus 로고
    • 1; -τ2) becomes a common denominator and can be dropped.
    • 1; -τ2) becomes a common denominator and can be dropped.
  • 36
    • 33750242310 scopus 로고    scopus 로고
    • To clarify the notion of λ we quote here from Ref. [7] p. 1888: "We denote this state by the single symbol λ, although it may well have many dimensions, discrete and/or continuous parts, and different parts of it interacting with either apparatus, etc."
    • To clarify the notion of λ we quote here from Ref. [7] p. 1888: "We denote this state by the single symbol λ, although it may well have many dimensions, discrete and/or continuous parts, and different parts of it interacting with either apparatus, etc."
  • 37
    • 4243774383 scopus 로고    scopus 로고
    • b =P(sa\λ)A,Bp(sb|λ)pBp(\)A,B from which one can deduce Eq. (3.1) by specifying to the measurable probabilities associated to the choices a and b among those offered by the sets A and B. See also M. Ardehali, Phys. Rev. A 57, 114 (1998).
    • (1998) Phys. Rev. a , vol.57 , pp. 114
    • Ardehali, M.1
  • 38
    • 0009744806 scopus 로고
    • J. S. Bell in Ref. [4], Chap. 7.
    • See the lucid discussions by M. Ferrero, T. W. Marshall, and E. Santos, Am. J. Phys. 58, 683 (1990); J. S. Bell in Ref. [4], Chap. 7.
    • (1990) Am. J. Phys. , vol.58 , pp. 683
    • Ferrero, M.1    Marshall, T.W.2    Santos, E.3
  • 40
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    • A. Peres, quant-ph/9807017.
    • A. Peres, quant-ph/9807017.
  • 41
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    • note
    • 2,τ) violates Eq. (3.7) provided the parameter ε which signals direct CP violation in the K°-K° system is nonzero (see Ref. [10] for a definition of e'). It was then concluded that any measure of ε′≠0 is a test of the Bell inequalities with no need of a direct check. There is, however, no automatism "ε′≠0, then local realism is ruled out." Or, not every measure of e' is a test of local realism and quantum mechanics. It is known otherwise also that the quantum mechanical predictions violate the Bell inequalities. This does not spare us the experiment to confirm or reject this result. At the end Bell inequalities and related expressions for kaons address the question, how entangled kaons behave.


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