INDUCED EFFECTS IN BETA DECAY AND MUON CAPTURE.

Abstract

In order to facilitate analysis of muon capture in 16O, results are presented of a shell-model calculation of low-lying odd-parity states of 16O and 16N, including the effects of a two-particle spin-orbit interaction. Calculated energy levels and rates for various beta-decay and muon-capture transitions are given as functions of the spin-orbit interaction strength. Formulas are obtained for single-level muon-capture rates for the following transitions: 12C(0+) 12B(1+); 16O(0+) to 16N(0-); 16O(0+) to 16N(1-); and 16O(0+) to 16N(2-). The formulas include effects of finite nuclear size and relativistic treatment of the muon, and are presented in a form showing explicit dependence on induced form factors and on configuration-mixing coefficients for the various nuclear levels. Electron radial wave functions suitable for beta-decay calculations involving light elements (Z < 10) are presented for an absolute value of kappa of < or = 2. These functions are then applied to the first-forbidden unique decay of 16N and to the various decays of 14C and 14O. The analyses of the mass-14 system, not yet completed, could provide important information about nuclear matrix elements and shell-model states for these nuclei.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1967
Accession Number
AD0659398

Entities

People

  • C. E. Laird
  • J. N. Huffaker

Organizations

  • University of Alabama

Tags

DTIC Thesaurus Topics

  • Beta Decay
  • Coefficients
  • Electrons
  • Energy Levels
  • Intranuclear Space
  • Particle Spins
  • Particles
  • Physical Properties
  • Quantum Properties
  • Spin-Orbit Interaction
  • Transitions
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Solar Physics

Technology Areas

  • Microelectronics
  • Space