Abstract

Understanding of collision processes is required in designing robust nano-particles for future applications. This study proposes a technique for controlling scattering resonances by using the tuning of well parameters to impose pre-determined thresholds on resonances and bound states in collision processes. The theoretical concept of scattering in a spherical potential well, at varying depths was adopted. A scan of q from 0 to 5π at incremental steps of q= π/p yields (p x 5)+1 number of state(s), and p-1 state(s) resonate(s) at each bound state.

Highlights

  • The study of particle-particle collision processes at ultracold limit ( k 0 ) is fast evolving

  • The basic concept is on using tuning of well-depth and collision energy to impose pre-determined thresholds on resonances and bound states during particle-particle collision processes

  • External electric and magnetic fields can be used as perturbation sources to tune well parameters to predetermined thresholds on resonances and bound states

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Summary

INTRODUCTION

The study of particle-particle collision processes at ultracold limit ( k 0 ) is fast evolving. This is because; detailed understanding of collision processes will be required in designing robust nano-particles for future applications [1, 2]. A significant aspect of quantum scattering is the scattering resonance [3,4,5,6] It occurs when the continuum state of two colliding particles couples to a bound state, and it is well suited for studying partial wave dynamics of collision states [7]. The basic concept is on using tuning of well-depth and collision energy to impose pre-determined thresholds on resonances and bound states during particle-particle collision processes. External electric and magnetic fields can be used as perturbation sources to tune well parameters to predetermined thresholds on resonances and bound states

THEORY AND NUMERICAL TECHNIQUE
RESULTS AND DISCUSSION
CONCLUSIONS
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