Nuclear Theory


Book Description




Muon Physics V2


Book Description

Muon Physics, Volume II: Weak Interactions deals with the weak interaction of muon and covers topics ranging from the elementary particle aspects of muon decay and muon capture, as well as the conventional two- and one-neutrino-field theories. The law of lepton conservation is also considered, along with semileptonic weak interactions in nuclei. This volume is comprised of two chapters and begins with a discussion on muon decay and muon capture, offering a theoretical interpretation of the elementary-particle aspects of the decay of a muon and the capture of a muon by a proton. The law of lepton conservation is examined in both conventional two- and one-neutrino-field theories. Semileptonic weak interactions in nuclei are also examined, paying particular attention to neutrino reactions, charged-lepton capture, and ß decay. The experimental results on weak interactions (low energies) are reviewed in relation to muon decay, rare and ultrarare muon decays, and muon capture. The final chapter is devoted to the interactions of muon neutrinos and limits the discussion to the high-energy type. This book is written primarily for physicists as well as students and researchers in physics.







Muon Capture on Light Nuclei


Book Description

This work investigates the muon capture reactions 2H(\mu^-, \nu_\mu)nn and 3He(\mu^-, \nu_\mu)3H and the contribution to their total capture rates arising from the axial two-body currents obtained imposing the partially-conserved-axial-current (PCAC) hypothesis. The initial and final A=2 and 3 nuclear wave functions are obtained from the Argonne v_{18} two-nucleon potential, in combination with the Urbana IX three-nucleon potential in the case of A=3. The weak current consists of vector and axial components derived in chiral effective field theory. The low-energy constant entering the vector (axial) component is determined by reproducting the isovector combination of the trinucleon magnetic moment (Gamow-Teller matrix element of tritium beta-decay). The total capture rates are 393.1(8) s^{-1} for A=2 and 1488(9) s^{-1} for A=3, where the uncertainties arise from the adopted fitting procedure.