Quantum Tunneling and Scattering of a Composite Object: Revisited and Reassessed

Abstract

This work presents an extensive exploration of scattering and tunneling involving composite objects with intrinsic degrees of freedom. We aim at exact solutions to such scattering problems. Along this path we demonstrate solution to model Hamiltonians, and develop different techniques for addressing these complex reaction-physics problems, discuss their applicability, and investigate the relevant convergence issues. As examples, we study the scattering of a two-constituent deuteron-like systems either with an infinite set of intrinsic bound states or with a continuum of states that allows for breakup. We show that the internal degrees of freedom of the projectile and its virtual excitation in the course of reactions play an important role in shaping the S-matrix and related observables, giving rise to enhanced or reduced tunneling in various situations.

arXiv comment21 pages, 25 figures

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Cited by in corpus (11)

• Super-Radiant Dynamics, Doorways, and Resonances in Nuclei and Other Open Mesoscopic Systems
• Time-dependent approach to many-particle tunneling in one-dimension
• Contribution of resonance tunneling of molecule to physical observables
• Applicability of the continuum-discretized coupled-channels method to the deuteron breakup at low energies
• Nuclear structure and reaction studies at SPIRAL
• Exact two-body quantum dynamics of an electron-hole pair in semiconductor coupled quantum wells: a time-dependent approach
• Application of the Lagrange mesh method in continuum-discretized coupled-channels calculations
• Tunneling of atoms, nuclei and molecules
• Imaginary Time Mean-Field Method for Collective Tunneling
• Tunnelling of a composite particle in presence of a magnetic field
• Symbolic-numerical Algorithm for Generating Cluster Eigenfunctions: Tunneling of Clusters Through Repulsive Barriers