A microscopic multiphonon approach to even and odd nuclei

Gregorio, G. De; Knapp, F.; Iudice, N. Lo; Veselý, Petr

doi:10.1088/1402-4896/aa6fa2

Cited by 14 publications

(7 citation statements)

References 51 publications

(83 reference statements)

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“…A few years ago, we developed for closed shell nuclei an equation of motion phonon method (EMPM) [25][26][27], which yields an orthonormal multiphonon basis built out of phonons generated in the particle-hole (p-h) Tamm-Dancoff approximation (TDA) and adopts such a basis to solve the full eigenvalue problem under no approximation apart from the truncation of the multiphonon space. The method was also formulated in the quasiparticle language suitable for open shell nuclei [28] and in the p(h)-phonon scheme for the study of odd-nuclei [29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Spectroscopic properties of 4He within a multiphonon approach

De Gregorio,

Knapp,

Iudice

et al. 2022

Preprint

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Bulk and spectroscopic properties of 4 He are studied within an equation of motion phonon method. Such a method generates a basis of n-phonon (n = 0, 1, 2, 3...) states composed of tensor products of particle-hole Tamm-Dancoff phonons and then solves the full eigenvalue problem in such a basis. The method does not rely on any approximation and is free of any contamination induced by the center of mass, in virtue of a procedure exploiting the singular value decomposition of rectangular matrices. Two potentials, both derived from the chiral effective field theory, are adopted in a selfconsistent calculation performed within a space including up to three phonons. The latter basis states are treated under a simplifying assumption. A comparative analysis with the experimental data points out the different performances of the two potentials. It shows also that the calculation succeeds only partially in the description of the spectroscopic properties and suggests a recipe for further improvements.

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Section: Introductionmentioning

confidence: 99%

Spectroscopic properties of 4He within a multiphonon approach

De Gregorio,

Knapp,

Iudice

et al. 2022

Preprint

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“…These states together with the HF state (n = 0) and the TDA phonons (n = 1) are adopted to solve the full eigenvalue problem. The method was also formulated in the quasiparticle language suitable for open shell nuclei [23] and in the p(h)-phonon scheme for the study of odd-nuclei [24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of formalisms and performances of three different beyond mean-field approaches

Knapp¹,

Papakonstantinou²,

Veselý³

et al. 2022

Preprint

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We investigate the differences and analogies between the equation of motion phonon method (EMPM) and second Tamm-Dancoff and random-phase approximations (STDA and SRPA) paying special attention to the problem of spurious center-of-mass (c.m.) admixtures. In order to compare them on an equal footing, we perform self-consistent calculations of the multipole strength distributions in selected doubly magic nuclei within a space including up to two-particle-two-hole (2p-2h) basis states using the UCOM two-body intrinsic Hamiltonian and we explore the tools each approach supplies for removing the spurious c.m. admixtures. We find that the EMPM and STDA yield exactly the same results when the same intrinsic Hamiltonian is used and the coupling of the Hartree-Fock state with the 2p-2h space is neglected, but, unlike STDA and SRPA, the EMPM offers the possibility to completely remove c.m. admixtures.

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“…A particle-phonon version was developed recently and adopted to investigate thoroughly the spectroscopic properties of 17 O and 17 F [ [24][25][26] as well as the neutron rich 23 O and 23 F [27].…”

Section: Introductionmentioning

confidence: 99%

Microscopic multiphonon approach to nuclei with a valence hole in the oxygen region

et al. 2019

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An equation of motion phonon method, developed for even nuclei and recently extended to odd systems with a valence particle, is formulated in the hole-phonon coupling scheme and applied to A=15 and A=21 isobars with a valence hole. The method derives a set of equations which yield an orthonormal basis of states composed of a hole coupled to an orthonormal basis of correlated n-phonon states (n = 0, 1, 2, . . .), built of constituent Tamm-Dancoff phonons, describing the excitations of a doubly magic core. The basis is then adopted to solve the full eigenvalue problem. The method is formally exact but lends itself naturally to simplifying approximations. Self-consistent calculations using a chiral Hamiltonian in a space encompassing up to two-phonon and three-phonon basis states in A=21 A=15 nuclei, respectively, yield full spectra, moments, electromagnetic and β-decay transition strengths, and electric dipole cross sections. The analysis of the hole-phonon composition of the eigenfunctions contributes to clarify the mechanism of excitation of levels and resonances and to understand the reasons of the deviations of the theory from the experiments. Prescriptions for reducing these discrepancies are suggested.

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A microscopic multiphonon approach to even and odd nuclei

Cited by 14 publications

References 51 publications

Spectroscopic properties of 4He within a multiphonon approach

Spectroscopic properties of 4He within a multiphonon approach

Comparative analysis of formalisms and performances of three different beyond mean-field approaches

Microscopic multiphonon approach to nuclei with a valence hole in the oxygen region

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