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Axial Form Factors by the Algebra of Currents

  • R. Jengo
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 3/1966)

Abstract

In this note I shall present the results obtained in three works [1], in which the matrix elements between nucleon states of the equal time commutation relations of the algebra of SU(2) × SU(2)
$$ % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaace % WGrbGbaebadaahaaWcbeqaamaabmaabaGaaG4maaGaayjkaiaawMca % aaaakiaacYcacaWGwbWaa0baaSqaaiabeY7aTbqaamaabmaabaGaaG % 4maaGaayjkaiaawMcaaaaaaOGaay5waiaaw2faaiabg2da9iaaicda % aaa!42A8! \left[ {\bar Q^{\left( 3 \right)} ,V_\mu ^{\left( 3 \right)} } \right] = 0 $$
(1)
$$ % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaace % WGrbGbaebadaahaaWcbeqaamaabmaabaGaeyOeI0cacaGLOaGaayzk % aaaaaOGaaiilaiaadAfadaqhaaWcbaGaeqiVd0gabaWaaeWaaeaaca % aIZaaacaGLOaGaayzkaaaaaaGccaGLBbGaayzxaaGaeyypa0Jaamyq % amaaDaaaleaacqaH8oqBaeaadaqadaqaaiabgkHiTaGaayjkaiaawM % caaaaaaaa!473D! \left[ {\bar Q^{\left( - \right)} ,V_\mu ^{\left( 3 \right)} } \right] = A_\mu ^{\left( - \right)} $$
(2)
$$ % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaace % WGrbGbaebadaahaaWcbeqaamaabmaabaGaaG4maaGaayjkaiaawMca % aaaakiaacYcacaWGbbWaa0baaSqaaiabeY7aTbqaamaabmaabaGaaG % 4maaGaayjkaiaawMcaaaaaaOGaay5waiaaw2faaiabg2da9iaaicda % aaa!4293! \left[ {\bar Q^{\left( 3 \right)} ,A_\mu ^{\left( 3 \right)} } \right] = 0 $$
(3)
$$ % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaace % WGrbGbaebadaahaaWcbeqaamaabmaabaGaey4kaScacaGLOaGaayzk % aaaaaOGaaiilaiaadgeadaqhaaWcbaGaeqiVd0gabaWaaeWaaeaacq % GHsislaiaawIcacaGLPaaaaaaakiaawUfacaGLDbaacqGH9aqpcaaI % YaGaamOvamaaDaaaleaacqaH8oqBaeaacaaIZaaaaaaa!4665! \left[ {\bar Q^{\left( + \right)} ,A_\mu ^{\left( - \right)} } \right] = 2V_\mu ^3 $$
(4)
have been considered.

Keywords

Form Factor Axial Current Electromagnetic Form Factor Equal Time Commutation Pion Pole 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag GmbH Wien 1966

Authors and Affiliations

  • R. Jengo
    • 1
  1. 1.Istituto di Fisica Teorica dell’ UniversitàTriesteItaly

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