CPT and effective Hamiltonians for neutral kaon and similar complexes

نویسنده

  • Krzysztof URBANOWSKI
چکیده

We begin with a discussion of the general form and general CP– and CPT– transformation properties of the Lee–Oehme–Yang (LOY) effective Hamiltonian for the neutral kaon complex. Next, the properties of the exact effective Hamiltonian for this complex are discussed. Using the Khalfin Theorem we show that the diagonal matrix elements of the effective Hamiltonian governing the time evolution in the subspace of states of an unstable particle and its antiparticle need not be equal at for t > t0 (t0 is the instant of creation of the pair) when the total system under consideration is CPT invariant but CP noninvariant. The unusual consequence of this result is that, contrary to the properties of stable particles, the masses of the unstable particle ”1” and its antiparticle ”2” need not be equal for t ≫ t0 in the case of preserved CPT and violated CP symmetries. We also show that there exists an approximation which is more accurate than the LOY, and which leads to an effective Hamiltonian whose diagonal matrix elements posses properties consistent with the conclusions for the exact effective Hamiltonian described above. Talk given at the Conference on ”Irreversible Quantum Dynamics”, 29 July — 2 August 2002, Abdus Salam International Centre for Theoretical Physics, Trieste, Italy. e–mail: [email protected]; [email protected]

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

CPT Symmetry and Properties of the Exact and Approximate Effective Hamiltonians for the Neutral Kaon Complex

We show that the diagonal matrix elements of the exact effective Hamiltonian governing the time evolution in the subspace of states of an unstable particle and its antiparticle need not be equal at for t > t0 (t0 is the instant of creation of the pair) when the total system under consideration is CPT invariant but CP noninvariant. The unusual consequence of this result is that, contrary to the ...

متن کامل

CPT transformation properties of the exact effective

CPT transformation properties of the exact effective Hamiltonian for neutral kaon and similar complexes. Abstract CPT–symmetry properties of the exact effective Hamiltonian H governing the time evolution in the K 0 , K 0 mesons subspace implied by such properties of the total Hamiltonian H of the system under consideration are examined. We show that H can commute with CPT – operator only if H d...

متن کامل

CPT Violation in String-Modified Quantum Mechanics and the Neutral Kaon System

We show that CPT is in general violated in a non-quantum-mechanical way in the effective low-energy theory derived from string theory, as a result of apparent world-sheet charge non-conservation induced by stringy monopoles corresponding to target-space black hole configurations. This modification of quantum mechanics does not violate energy conservation. The magnitude of this effective spontan...

متن کامل

Signals for CPT and Lorentz Violation in Neutral-Meson Oscillations

Experimental signals for indirect CPT violation in the neutral-meson systems are studied in the context of a general CPTand Lorentz-violating standard-model extension. In this explicit theory, some CPT observables depend on the meson momentum and exhibit diurnal variations. The consequences for CPT tests vary significantly with the specific experimental scenario. The wide range of possible effe...

متن کامل

Comments on CP, T and CPT Violation in Neutral Kaon Decays

We comment on CP, T and CPT violation in the light of interesting new data from the CPLEAR and KTeV Collaborations on neutral kaon decay asymmetries. Other recent data from the CPLEAR experiment, constraining possible violations of CPT and the ∆S = ∆Q rule, exclude the possibility that the semileptonic-decay asymmetry AT measured by CPLEAR could be solely due to CPT violation, confirming that t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002