Abstract

We present some recent developments on the nuclear many-body problem, such as the treatment of high-order correlations and finite temperature in the description of in-medium two-nucleon propagators. In this work we discuss two-time propagators of the particle-hole type, which describe the response of finite nuclei to external probes without nucleon transfer. The general theory is formulated in terms of the equation of motion method for these propagators with the only input from the bare nucleon-nucleon interaction. The numerical implementation was performed on the basis of the effective mason-nucleon Lagrangian in order to study the energy-dependent kernels of different complexity. The finite-temperature extension of the theory with ph ⊗ phonon configurations is applied to a study of the multipole response of medium-mass nuclei.

Highlights

  • Response of many-body quantum systems to external perturbations comprises a large class of problems studied in many subfields of quantum physics

  • Nuclear correlation functions have a long history of theoretical studies based on the quantum field theory (QFT) techniques

  • The idea of coupling between single-particle and emergent collective degrees of freedom in nuclei [3,4,5], which explained successfully many of the observed phenomena, can be related to the non-perturbative versions of QFT-based and, in principle, exact, equations of motion (EOM) for correlation functions in nuclear medium [6,7,8,9,10,11]

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Summary

Introduction

Response of many-body quantum systems to external perturbations comprises a large class of problems studied in many subfields of quantum physics. Nuclear correlation functions have a long history of theoretical studies based on the quantum field theory (QFT) techniques.

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