Sum Rule Approach to Giant Resonance States

Suzuki, Toshio

doi:10.1143/ptps.74.319

Cited by 8 publications

(8 citation statements)

References 3 publications

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“…Thus, a renormalization of the bare N N interaction is required to accelerate the convergence [1]. In the present study, we perform the OLS transformation [40][41][42][43] of the NCSM Hamiltonian. For comparison we also perform calculations with the bare Daejeon16 N N potential, as will be discussed later.…”

Section: Microscopic Two-body Interactionsmentioning

confidence: 99%

Effective interactions in the sd shell

et al. 2019

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We perform a quantitative study of the microscopic effective shell-model interactions in the valence sd shell, obtained from modern nucleon-nucleon potentials, chiral N3LO, JISP16 and Daejeon16, using No-Core Shell-Model wave functions and the Okubo-Lee-Suzuki transformation. We investigate the monopole properties of those interactions in comparison with the phenomenological universal sd-shell interaction, USDB. Theoretical binding energies and low-energy spectra of O isotopes and of selected sd-shell nuclei, are presented. We conclude that there is a noticeable improvement in the quality of the effective interaction when it is derived from the Daejeon16 potential. We show that its proton-neutron centroids are consistent with those from USDB. We then propose monopole modifications of the Daejeon16 centroids in order to provide an adjusted interaction yielding significantly improved agreement with the experiment. A spin-tensor decomposition of two-body effective interactions is applied in order to extract more information on the structure of the centroids and to understand the reason for deficiencies arising from our current theoretical approximations. The issue of the possible role of the three-nucleon forces is addressed. nificant progress in ab-initio calculations for light nuclei, the structure of the open-shell medium-mass nuclei can still be described only by restricted valence-space calculations. Thus, the goal to derive effective valence-space interactions represents a major area of endeavor.The present study is focused on the use of the No-Core Shell Model (NCSM) [1] in conjunction with additional theoretical treatment that leads to effective interactions for valence space shell-model calculations. Within the NCSM, all A nucleons, interacting via realistic forces, are treated as active within a model space, consisting of a large number of shells (typically, shells of a harmonicoscillator potential). The eigenvalue problem is solved by diagonalization of the many-body Hamiltonian matrix in a spherically symmetric harmonic-oscillator basis. The many-body eigenstates, represented as mixing of configurations expressed as Slater determinants of the proton and neutron single-particle wave functions, preserve all fundamental symmetries of atomic nuclei and can be used directly to calculate matrix elements of various operators. As a fully ab-initio approach, the NCSM

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Section: Microscopic Two-body Interactionsmentioning

confidence: 99%

Effective interactions in the sd shell

et al. 2019

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“…The time-dependent HFB (TDHFB) mean field is a generalized coherent state and its time development can be described as a trajectory in the large-dimensional TDHFB phase space. Such a formulation of the TDHFB theory as a Hamilton dynamical system provides a microscopic foundation for using a classical picture of rotating and vibrating mean fields [23,24,25]. Thus, nuclear collective motions are beautiful examples of emergence of classical properties in genuine quantum many-body systems.…”

Section: Collective Motion As Moving Mean Fieldmentioning

confidence: 99%

Open problems in the microscopic theory of large-amplitude collective motion

Matsuyanagi

Nakatsukasa

Hinohara

et al. 2010

J. Phys. G: Nucl. Part. Phys.

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Construction of the microscopic theory of large-amplitude collective motion, capable of describing a wide variety of quantum collective phenomena in nuclei, is a long-standing and fundamental subject in the study of nuclear manybody systems. Present status of the challenge toward this goal is discussed taking the shape coexistence/mixing phenomena as typical manifestations of the large-amplitude collective motion at zero temperature. Some open problems in rapidly rotating cold nuclei are also briefly discussed in this connection.

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“…where |ψ k; kSλ;t πa and |Ψ k; kSλ;t πa denote the states of the full and model spaces respectively and ω is an operator which transforms the states of the P -space to the Q-space. The nonhermitian low-momentum effective potential in the model space that reproduces the model space component of the wave function from the full-space wave function is given by [5]- [9]:…”

Section: Lee-suzuki Methods In the 3d Momentum-helicity Represen-tationmentioning

confidence: 99%

Three-dimensional approach for construction of low-momentum effective interaction from realistic potentials

Bayegan,

Harzchi,

Shalchi

2009

Preprint

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The low-momentum effective interaction V low k has been formulated in the three-dimensional momentum-helicity representation as a function of the magnitude of momentum vectors and the angle between them. As an application, AV18 potential has been used in the model space of Lee-Suzuki method and it has been shown that the low-momentum effective interaction, V low k reproduces the same two-body observables obtained by the bare potential V N N .

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Sum Rule Approach to Giant Resonance States

Cited by 8 publications

References 3 publications

Effective interactions in the sd shell

Effective interactions in the sd shell

Open problems in the microscopic theory of large-amplitude collective motion

Three-dimensional approach for construction of low-momentum effective interaction from realistic potentials

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