Representation Mixing and Sum Rules for Magnetic Moments from Current Commutation Relations | Zendy

Satoshi Matsuda | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Representation Mixing and Sum Rules for Magnetic Moments from Current Commutation Relations

Author(s) -

Satoshi Matsuda

Publication year - 1966

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.36.1277

Subject(s) - isovector , physics , sum rule in quantum mechanics , nucleon , commutator , magnetic dipole , dipole , charge radius , operator (biology) , quantum electrodynamics , magnetic moment , quantum mechanics , neutron magnetic moment , moment (physics) , particle physics , electron magnetic dipole moment , proton , biochemistry , chemistry , lie conformal algebra , repressor , lie algebra , quantum chromodynamics , transcription factor , gene

The commutation relation satisfied by the electric dipole moment operators is considered within the representation mixing scheme. By noting that the expectation value of the dipole moment operator for the nucleon at infinite momentum in the Z direction is the anomal~us magnetic moment and its transformation property under the algebra U(3) X U(3) is {(8, l)o + (1, S)o; Lz ==± 1}, we show that. from the commutation relation of the dipole moment operators a sum rule is derived which relates the anomalous magnetic moments of the proton and neutron with the isoyector charge radius, where the assumption is made that the commutator is saturated by a few low-lying resonances. If we take into account the contribution of the second nucleon resonance N**(1512) to the commutator in addition to that of the nucleon and N*(1238), the sum rule predicts a reasonable value for the isovector rms charge radius.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research