6533b871fe1ef96bd12d1154
RESEARCH PRODUCT
Muon capture by a proton in heavy baryon chiral perturbation theory
Randy LewisStefan SchererHarold W. FearingNader Mobedsubject
PhysicsNuclear and High Energy PhysicsParticle physicsCurrent (mathematics)ProtonHeavy baryon chiral perturbation theoryNuclear Theory010308 nuclear & particles physicsFOS: Physical sciencesCoupling (probability)01 natural sciencesMuon captureRenormalizationNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Double beta decay0103 physical sciences010306 general physicsNucleondescription
The matrix element for muon capture by a proton is calculated to O(p^3) within heavy baryon chiral perturbation theory using the new O(p^3) Lagrangian of Ecker and Mojzis. External nucleon fields are renormalized using the appropriate definition of the wave function renormalization factor Z_N. Our expression for Z_N differs somewhat from that found in existing literature, but is the one which is consistent with the Lagrangian we use and the one which ensures, within our approach, the nonrenormalization of the vector coupling as required by the conserved vector current. Expressions for the standard muon capture form factors are derived and compared to experimental data and we determine three of the coefficients of the Ecker - Mojzis Lagrangian, namely, b_7, b_{19}, and b_{23}.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-08-01 |