Photoexcitation of 13C, 15N, 17O, 17F and 39K in the Framework of Particle-Core Coupling Model (PCM)

Abstract

Photoexcitation of the collective low-lying states in ¹³C, ¹⁵N, ¹⁷O, ¹⁷F and ³⁹K are studied in the framework of Particle-Core Coupling Model (PCM).
According to PCM, the total Hamiltonian is diagonalized in the configuration
mixing space of the basis states which consist of the core states that restricted
to at most three quadrupole and two octupole phonon excitations and harmonic
oscillator single-particle states. The resulting eigenvalues, correspond to the
energy levels and the eigenvectors, are used to calculate the magnetic dipole
moment μ(n.m.), electric quadrupole moment Q(e. fm² ), and reduced transition probability B(M1)↓(n.m.)² and B(E2)↓
(e² fm⁴ ). The core polarization effects are introduced by giving the odd nucleon an effective  
charge and effective g-factor to obtain the best description for data.