Particle motion in a deformed potential using a transformed oscillator basis

Abstract

The quantum description of a particle moving in a deformed potential is investigated. A pseudostate (PS) basis is used to represent the states of the composite system. This PS basis is obtained by diagonalizing the system Hamiltonian in a family of square integrable functions. In this work the Transformed Harmonic Oscillator (THO) functions, obtained from the solutions of the Harmonic Oscillator using a Local Scale Transformation (LST), are used. The proposed method is applied to the 11Be nucleus, treated in a two-body model (10Be+n). Both structure and reaction observables have been studied. Wavefunctions and energies obtained for the bound states and some low-lying resonances are compared with those obtained by direct integration of the Schroedinger equation. The dipole and quadrupole electric transition probabilities for the low-energy continuum have been calculated in the THO basis, and compared with the exact distributions obtained with the scattering states. Finally, the method is applied to describe the 11Be states in the Coulomb breakup of 11Be+208Pb at 69 MeV/nucleon. The energy and angular distributions of the exclusive breakup have been calculated using the Equivalent Photon Method, including both E1 and E2 contributions. The calculated distributions are found to be in good agreement with the available experimental data from RIKEN [Phys. Rev. C70, 054606]. At the very forward angles, the cross section is completely dominated by the dipole couplings.

12 pages, 9 figures, Submitted to Phys. Rev. C

References in corpus (13)

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• Calculations of three-body observables in ^8B breakup
• Continuum-discretized coupled-channels method for four-body nuclear breakup in ${}^6$He+${}^{12}$C scattering
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Cited by in corpus (16)

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• Interplay between valence and core excitation mechanisms in the breakup of halo nuclei
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• Interplay of projectile breakup and target excitation in reactions induced by weakly-bound nuclei
• Determining $B(E1)$ distributions of weakly bound nuclei from breakup cross sections using Continuum Discretized Coupled Channels calculations. Application to ${}^{11}$Be
• Semi-microscopic folding model for the description of two-body halo nuclei
• Evidence of strong dynamic core excitation in ${}^{19}$C resonant break-up
• Extracting three-body breakup observables from CDCC calculations with core excitations
• Examination of the $\varphi -NN$ bound-state problem with lattice QCD $N-\varphi$ potentials
• Systematic calculations of reactions with exotic and stable nuclei to establish a unified theoretical approach
• Transfer reactions of exotic nuclei including core deformations: ${}^{11}$Be and ${}^{17}$C
• Pairing enhancement in a two-neutron transfer process through the continuum
• Continuum discretized BCS approach for weakly bound nuclei
• Pauli Blocking effects in Nilsson states of weakly bound exotic nuclei
• Probing $\varphi$N interaction through bound states of $\varphi \text{N-}\alpha$ system