Generalized contour deformation method in momentum space: two-body spectral structures and scattering amplitudes

Abstract

A generalized contour deformation method (GCDM) which combines complex rotation and translation in momentum space, is discussed. GCDM gives accurate results for bound, virtual (antibound), resonant and scattering states starting with a realistic nucleon-nucleon interaction. It provides a basis for full off-shell $t$-matrix calculations both for real and complex input energies. Results for both spectral structures and scattering amplitudes compare perfectly well with exact values for the separable Yamaguchi potential. Accurate calculation of virtual states in the Malfliet-Tjon and the realistic CD-Bonn nucleon-nucleon interactions are presented. GCDM is also a promising method for the computation of in-medium properties such as the resummation of particle-particle and particle-hole diagrams in infinite nuclear matter. Implications for in-medium scattering are discussed.

15 pages, revtex

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• Emergent properties of nuclei from ab initio coupled-cluster calculations
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• Effective Interaction Techniques for the Gamow Shell Model
• Study of Resonant Structures in a Deformed Mean-Field by the Contour Deformation Method in Momentum Space
• Nuclear Structure Calculations with Coupled Cluster Methods from Quantum Chemistry
• Non-perturbative Quantization of Phantom and Ghost Theories: Relating Definite and Indefinite Representations
• Nucleon-nucleon scattering with the Complex Scaling Method and realistic interactions
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