Photoexcitation of 13C, 15 N, 17 O, 17 F and 39 K 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 ?(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.

Keywords

• Particle-Core Coupling Model (PCM)
• magnetic dipole moment μ
• electric quadrupole moment Q
• reduced magnetic and electric transition probabilities B(M1)↓
• B(E2)↓
• respectively