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Single particles in a reflection-asymmetric potential

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Abstract

Single particles moving in a reflection-asymmetric potential are investigated by solving the Schrödinger equation of the reflection-asymmetric Nilsson Hamiltonian with the imaginary time method in 3D lattice space and the harmonic oscillator basis expansion method. In the 3D lattice calculation, the l2 divergence problem is avoided by introducing a damping function, and the〈l2〉 N term in the non-spherical case is calculated by introducing an equivalent N-independent operator. The efficiency of these numerical techniques is demonstrated by solving the spherical Nilsson Hamiltonian in 3D lattice space. The evolution of the single-particle levels in a reflection-asymmetric potential is obtained and discussed by the above two numerical methods, and their consistency is shown in the obtained single-particle energies with the differences smaller than 10−4 [ħω0].

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Authors and Affiliations

  1. School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the Cosmos, Beihang University, Beijing, 100191, China

    YuanYuan Wang

  2. State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing, 100871, China

    ZhengXue Ren

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Wang, Y., Ren, Z. Single particles in a reflection-asymmetric potential. Sci. China Phys. Mech. Astron. 61, 082012 (2018). https://doi.org/10.1007/s11433-018-9213-7

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