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Nuclear response in a finite-temperature relativistic framework

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Abstract.

A thermal extension of the relativistic nuclear field theory is formulated for the nuclear response. The Bethe-Salpeter equation (BSE) with the time-dependent kernel for the particle-hole response is treated within the Matsubara Green’s function formalism. We show that, with the help of a temperature-dependent projection operator on the subspace of the imaginary time (time blocking), it is possible to reduce the BSE for the nuclear response function to a single frequency variable equation also at finite temperature. The approach is implemented self-consistently in the framework of quantum hadrodynamics based on the meson-nucleon Lagrangian. The method is applied to the monopole, dipole and quadrupole response of 48Ca and to the dipole response of the tin isotopes 100, 120, 132Sn, in particular, to a study of the evolution of nuclear collective oscillations with temperature. The article is dedicated to the memory of Pier Francesco Bortignon and devoted to the developments related to his pioneering ideas.

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Authors and Affiliations

  1. Department of Physics, Western Michigan University, 49008, Kalamazoo, MI, USA

    Elena Litvinova & Herlik Wibowo

  2. National Superconducting Cyclotron Laboratory, Michigan State University, 48824, East Lansing, MI, USA

    Elena Litvinova

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  1. Elena Litvinova
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  2. Herlik Wibowo
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Correspondence to Elena Litvinova.

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Communicated by N. Alamanos

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study are contained in this published article.]

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Litvinova, E., Wibowo, H. Nuclear response in a finite-temperature relativistic framework. Eur. Phys. J. A 55, 223 (2019). https://doi.org/10.1140/epja/i2019-12771-9

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