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Theoretical Methods for Giant Resonances

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Handbook of Nuclear Physics

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Abstract

The random phase approximation (RPA) and its variations and extensions are, without any doubt, the most widely used tools to describe giant resonances within a microscopic theory. At the start of this chapter, it will be discussed how RPA comes out naturally, if one seeks a state with a harmonic time dependence in the space of one particle-one hole excitations on top of the ground state. It will be also shown that RPA is the simplest approach in which a “collective” state emerges. These are basic arguments that appear in other textbooks but are also unavoidable as a starting point for further discussions. In the rest of the chapter, emphasis will be given to developments that have taken place in the last decades: alternatives to RPA like the finite-amplitude method (FAM), state-of-the-art calculations with well-established energy density functionals (EDFs), and progress in ab initio calculations. Extensions of RPA will be discussed using as a red thread the various enlargements of the one particle-one hole model space. The importance of the continuum, and the exclusive observables like the decay products of giant resonances, will be also cited.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Milano, Milano, Italy

    Gianluca Colò

  2. INFN, Sezione di Milano, Milano, Italy

    Gianluca Colò

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  1. Gianluca Colò
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Correspondence to Gianluca Colò .

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Editors and Affiliations

  1. Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka, Japan

    Isao Tanihata

  2. Research Center for Nuclear Physics, Osaka University, Ibaraki, Beijing, Japan

    Hiroshi Toki

  3. Beihang University, Haidian, Beijing, China

    Toshitaka Kajino

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Colò, G. (2023). Theoretical Methods for Giant Resonances. In: Tanihata, I., Toki, H., Kajino, T. (eds) Handbook of Nuclear Physics . Springer, Singapore. https://doi.org/10.1007/978-981-19-6345-2_72

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