Virtual photons in baryon chiral perturbation theory

نویسندگان

  • Guido Müller
  • Ulf-G. Meißner
چکیده

We construct the general Lagrangian for relativistic and heavy baryon chiral perturbation theory with virtual photons to fourth order. We work out the electromagnetic and strong isospin violating contributions to the nucleon self–energy, the nucleon mass and the scalar form factor of the nucleon. Electromagnetic effects for the shift to the Cheng–Dashen point can be as large as 2 MeV. We also discuss the corrections to Weinberg’s prediction for the scattering length difference a(π0p)− a(π0n) and show that they are small. Work supported in part by TMR, EC-Contract No. ERBFMRX-CT980169 (EURODAΦNE). email: [email protected] email: [email protected]

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Contents 1 EFFECTIVE FIELD THEORIES 2 2 CHIRAL

The main elements and methods of chiral perturbation theory, the effective field theory of the Standard Model below the scale of spontaneous chiral symmetry breaking, are summarized. Applications to the interactions of mesons and baryons at low energies are reviewed, with special emphasis on developments of the last three years. Among the topics covered are the strong, electromagnetic and semil...

متن کامل

Isospin-breaking corrections to the pion–nucleon scattering lengths

We analyze isospin breaking through quark mass differences and virtual photons in the pion– nucleon scattering lengths in all physical channels in the framework of covariant baryon chiral perturbation theory. The so-called triangle relation is found to be violated by about 1.5 %. We encounter a substantial isospin-breaking correction to neutral-pion–nucleon scattering beyond Weinberg’s predicti...

متن کامل

Virtual photons to fourth order CHPT with nucleons # 1

Baryon chiral perturbation theory offers another possibility of investigating isospin violation. As first stressed by Weinberg [1], reactions involving nucleons and neutral pions can lead to gross violations of isospin, e.g. in the scattering length difference a(π 0 p) − a(π 0 n) he predicted an effect of the order of 30%. This is because chiral symmetry and isospin breaking appear at the same ...

متن کامل

Radiative Muon Capture in Heavy Baryon Chiral Perturbation Theory

The radiative muon capture(RMC) on a proton is analyzed by means of heavy baryon chiral perturbation theory. The emitted photon energy spectrum is calculated and compared with the experimental data by taking the spin sum on the muonic atom states. We find that one-loop order corrections to the tree order amplitude modify the photon spectrum by less than five percent. This calculation supports t...

متن کامل

Burkhardt-Cottingham sum rule and forward spin polarizabilities in Heavy Baryon Chiral Perturbation Theory

We study spin-dependent sum rules for forward virtual Compton scattering (VVCS) off the nucleon in heavy baryon chiral perturbation theory (HBChPT) at order O(p4). We show how these sum rules can be evaluated from low energy expansions (in the virtual photon energy) of the forward VVCS amplitude. We study in particular the Burkhardt-Cottingham sum rule in HBChPT and the higher terms in the low ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999