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Calculation of proton decay in the nonrelativistic quark model

Calculation of proton decay in the nonrelativistic quark model We compute two-body branching ratios in proton decay in the SU(5) and SO(10) grand unification schemes. Using nonrelativistic approximation for quarks we can obtain algebraic relations between the matrix elements coming from spin-flavor symmetries. The absolute magnitude can be fixed from nonleptonic decays of hyperons, a similar phenomenon. We find branching ratios significantly different from previous works. Pion modes are very important due essentially to phase space ( π 0 e + , 37%, and π + ν ¯ e , 15%), and ω 0 e + is quite sizable (∼18%) due to its large matrix element. We find also an important K 0 μ + fraction (19%). Bound-state effects are quite crucial since we get, from two-body modes, a lifetime at the edge of the experimental limits, τ ( p ) ≃ 5 × 10 29 or 8 × 10 30 yr from M X = 3 × 10 14 or 6 × 10 14 GeV. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Calculation of proton decay in the nonrelativistic quark model

Gavela, M. B
Physical Review D , Volume 23 (7) – Apr 1, 1981
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1981 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.23.1580
Publisher site
See Article on Publisher Site

Abstract

We compute two-body branching ratios in proton decay in the SU(5) and SO(10) grand unification schemes. Using nonrelativistic approximation for quarks we can obtain algebraic relations between the matrix elements coming from spin-flavor symmetries. The absolute magnitude can be fixed from nonleptonic decays of hyperons, a similar phenomenon. We find branching ratios significantly different from previous works. Pion modes are very important due essentially to phase space ( π 0 e + , 37%, and π + ν ¯ e , 15%), and ω 0 e + is quite sizable (∼18%) due to its large matrix element. We find also an important K 0 μ + fraction (19%). Bound-state effects are quite crucial since we get, from two-body modes, a lifetime at the edge of the experimental limits, τ ( p ) ≃ 5 × 10 29 or 8 × 10 30 yr from M X = 3 × 10 14 or 6 × 10 14 GeV.

Journal

Physical Review D – American Physical Society (APS)

Published: Apr 1, 1981

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