E2/M1 Mixing Ratio of $\Delta \to N\gamma$ and Hyperon Resonance Radiative Decay

Abstract

We compute the leading contribution to the E2/M1 mixing ratio of the decay $\Delta \to N\gamma$ in heavy baryon chiral perturbation theory. We find the mixing ratio to be $4\% \ltap |δ_{\rm E2/M1}| \ltap 11\%$, much larger than estimates based on the quark model and other hadronic models. We also compute the mixing ratio for the radiative decay of the hyperon resonances. The decays ${\Sigma }^{\ast +}\to {\Sigma }^{+}\gamma$ and ${\Xi }^{\ast -}\to {\Xi }^{-}\gamma$ provide a particularly sensitive probe of deviations from heavy baryon spin-flavour SU(6).

arXiv commentUses harvmac.tex. 9 pages with 2 PostScript figures, packed and included using uufiles and figure. UCSD/PTH 93-04, QUSTH-93-01, Duke-TH-93-47

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• The 1/N Expansion for Baryons
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• Baryon Magnetic Moments in the 1/N Expansion
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• Octet to decuplet electromagnetic transition in a relativistic quark model
• ${\Omega }_c\gamma \to {\Omega }_c^{\ast }$ transition in lattice QCD
• Radiative Decays of Decuplet to Octet Baryons in Light Cone QCD
• Helicity amplitudes and electromagnetic decays of hyperon resonances
• Electromagnetic Decays of Heavy Baryons
• Hadrons in Strong Electric and Magnetic Fields
• Baryon Decuplet to Octet Electromagnetic Transitions in Quenched and Partially Quenched Chiral Perturbation Theory
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• Electromagnetic Transition Form Factors of Baryon Resonances
• HYPERON RADIATIVE DECAYS IN THE BOUND STATE SOLITON MODEL
• Electromagnetic transitions of the singly charmed baryons with spin 3/2
• Radiative decays of decuplet hyperons
• E2 Strength in the Radiative Charmed Baryon Decay
• Strangeness Dependence in Radiative Hyperon Decay Amplitudes
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• Heavy Baryon Spin 3/2 Theory and Radiative Decays of the Decuplet
• Transition magnetic moments of $J^P={\frac{3}{2}}^{+}$ decuplet to $J^P={\frac{1}{2}}^{+}$ octet baryons in the chiral constituent quark model
• Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme
• Lattice Results on the Connected Neutron Charge Radius
• Electromagnetic Properties of the Delta in the Large N and Chiral Limits
• The "radiative Delta -> N gamma" decay in light cone QCD
• Chiral Lagrangians with decuplet baryons to one loop
• Probing Hadronic Structure with The Decay $\Delta \to N{l}^{+}{l}^{-}$
• The pion photoproduction in the Δ(1232) region
• Chiral Perturbation Theory on the Lattice and its Applications
• Pion and Sigma Polarizabilities and Radiative Transitions
• Pion electroproduction measurements in the nucleon resonance region
• Heavy Baryons and electromagnetic decays