Neutron–antineutron oscillations: Discrete symmetries and quark operators

We analyze status of C, P and T discrete symmetries in application to neutron–antineutron transitions breaking conservation of baryon charge B by two units. At the level of free particles all these symmetries are preserved. This includes P reflection in spite of the opposite internal parities usuall...

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Main Authors: Zurab Berezhiani, Arkady Vainshtein
Format: Article
Language:English
Published: Elsevier 2019-01-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318308542
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author Zurab Berezhiani
Arkady Vainshtein
author_facet Zurab Berezhiani
Arkady Vainshtein
author_sort Zurab Berezhiani
collection DOAJ
description We analyze status of C, P and T discrete symmetries in application to neutron–antineutron transitions breaking conservation of baryon charge B by two units. At the level of free particles all these symmetries are preserved. This includes P reflection in spite of the opposite internal parities usually ascribed to neutron and antineutron. Explanation, which goes back to the 1937 papers by E. Majorana and by G. Racah, is based on a definition of parity satisfying P2=−1, instead of P2=1, and ascribing P=i to both, neutron and antineutron. We apply this to C, P and T classification of six-quark operators with |ΔB|=2. It allows to specify operators contributing to neutron–antineutron oscillations. Remaining operators contribute to other |ΔB|=2 processes and, in particular, to nuclei instability. We also show that presence of external magnetic field does not induce any new operator mixing the neutron and antineutron provided that rotational invariance is not broken.
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spelling doaj.art-bf7faea1f43c4e2488a975b07af9d1cb2022-12-22T00:02:10ZengElsevierPhysics Letters B0370-26932019-01-017885864Neutron–antineutron oscillations: Discrete symmetries and quark operatorsZurab Berezhiani0Arkady Vainshtein1Dipartimento di Fisica e Chimica, Università dell'Aquila, Via Vetoio, 67100 Coppito, L'Aquila, Italy; INFN, Laboratori Nazionali del Gran Sasso, 67010 Assergi, L'Aquila, ItalySchool of Physics and Astronomy and William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, MN 55455, USA; Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, USA; Corresponding author.We analyze status of C, P and T discrete symmetries in application to neutron–antineutron transitions breaking conservation of baryon charge B by two units. At the level of free particles all these symmetries are preserved. This includes P reflection in spite of the opposite internal parities usually ascribed to neutron and antineutron. Explanation, which goes back to the 1937 papers by E. Majorana and by G. Racah, is based on a definition of parity satisfying P2=−1, instead of P2=1, and ascribing P=i to both, neutron and antineutron. We apply this to C, P and T classification of six-quark operators with |ΔB|=2. It allows to specify operators contributing to neutron–antineutron oscillations. Remaining operators contribute to other |ΔB|=2 processes and, in particular, to nuclei instability. We also show that presence of external magnetic field does not induce any new operator mixing the neutron and antineutron provided that rotational invariance is not broken.http://www.sciencedirect.com/science/article/pii/S0370269318308542
spellingShingle Zurab Berezhiani
Arkady Vainshtein
Neutron–antineutron oscillations: Discrete symmetries and quark operators
Physics Letters B
title Neutron–antineutron oscillations: Discrete symmetries and quark operators
title_full Neutron–antineutron oscillations: Discrete symmetries and quark operators
title_fullStr Neutron–antineutron oscillations: Discrete symmetries and quark operators
title_full_unstemmed Neutron–antineutron oscillations: Discrete symmetries and quark operators
title_short Neutron–antineutron oscillations: Discrete symmetries and quark operators
title_sort neutron antineutron oscillations discrete symmetries and quark operators
url http://www.sciencedirect.com/science/article/pii/S0370269318308542
work_keys_str_mv AT zurabberezhiani neutronantineutronoscillationsdiscretesymmetriesandquarkoperators
AT arkadyvainshtein neutronantineutronoscillationsdiscretesymmetriesandquarkoperators