Emergence of rotational bands in<i>ab initio</i>no-core configuration interaction calculations of the Be isotopes

Maris, Pieter; Caprio, M. A.; Vary, James P.

doi:10.1103/physrevc.91.014310

Cited by 57 publications

(72 citation statements)

References 76 publications

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“…Ab initio nuclear theory attempts a direct description explicitly from the fully microscopic formulation of the many-body system in terms of nucleons and their free-space interactions. An accurate treatment of correlations can be computationally challenging, but ab initio theory now reproduces signatures of emergent phenomena, including clustering [8][9][10][11][12] and rotation [13][14][15][16], primarily in light nuclei. We can look therefore to ab initio theory as a means of exploring the emergence of effective degrees of freedom from a microscopic foundation, and understanding their place within the full description of nuclear properties and spectroscopy.…”

Section: Introductionmentioning

confidence: 99%

“…Some of these rotational bands (or portions thereof) have been studied before in NCCI calculations [13][14][15][16]18]. However, these earlier calculations, which were based on internucleon interactions such as JISP16 [19] and NNLO opt [20], suffered from a significant limitation: excited rotational bands were relatively poorly converged in the many-body calculations, lying at much higher excitation energy than they would either in a more completely converged calculation for those interactions or, indeed, in experiment.…”

Section: Introductionmentioning

confidence: 99%

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Probing ab initio emergence of nuclear rotation

et al. 2020

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Structural phenomena in nuclei, from shell structure and clustering to superfluidity and collective rotations and vibrations, reflect emergent degrees of freedom. Ab initio theory describes nuclei directly from a fully microscopic formulation. We can therefore look to ab initio theory as a means of exploring the emergence of effective degrees of freedom in nuclei. For the illustrative case of emergent rotational bands in the Be isotopes, we establish an understanding of the underlying oscillator space and angular momentum (orbital and spin) structure. We consider no-core configuration interaction (NCCI) calculations for 7,9,11 Be with the Dae-jeon16 internucleon interaction. Although shell model or rotational degrees of freedom are not assumed in the ab initio theory, the NCCI results are suggestive of the emergence of effective shell model degrees of freedom (0 ω and 2 ω excitations) and LS-scheme rotational degrees of freedom, consistent with an Elliott-Wilsdon SU(3) description. These results provide some basic insight into the connection between emergent effective collective rotational and shell model degrees of freedom in these light nuclei and the underlying ab initio microscopic description. arXiv:1912.00083v1 [nucl-th]

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Probing ab initio emergence of nuclear rotation

et al. 2020

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“…In spite of this progress, emergence of collective phenomena in nuclei still poses significant challenges to ab initio methods. Rotational states in p-shell nuclei have been successfully computed in the no-core shell-model and in Green'sfunction Monte-Carlo approaches [17][18][19][20][21], while in the sd-shell, deformed nuclei have only been accurately described in shell-model calculations using phenemenological interactions [22]. A symplectic approach has been proposed [23] to enable extension of the no-core shellmodel to larger model spaces and higher-mass nuclei, yet prototypical deformed nuclei like 20 Ne and 48 Cr remain out of reach in the aforementioned approaches.…”

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confidence: 99%

Opensd-shell nuclei from first principles

et al. 2016

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We extend the ab initio coupled-cluster effective interaction (CCEI) method to open-shell nuclei with protons and neutrons in the valence space, and compute binding energies and excited states of isotopes of neon and magnesium. We employ a nucleon-nucleon and three-nucleon interaction from chiral effective field theory evolved to a lower cutoff via a similarity renormalization group transformation. We find good agreement with experiment for binding energies and spectra, while charge radii of neon isotopes are underestimated. For the deformed nuclei 20 Ne and 24 Mg we reproduce rotational bands and electric quadrupole transitions within uncertainties estimated from an effective field theory for deformed nuclei, thereby demonstrating that collective phenomena in sd-shell nuclei emerge from complex ab initio calculations.Introduction -Nuclei are complex many-body systems that present us with a wealth of interesting quantum mechanical phenomena that emerge along the entire chart of nuclei. These phenomena involve: exotic clustering behavior and extended density distributions of loosely bound nuclei [1, 2], melting and re-organization of shellstructure in neutron nuclei [3][4][5], Borromean nuclei [6,7], and emergence of collective behavior in nuclei, such as rotational and vibrational states [8,9] as well as nuclear super conductivity and pairing [10].Recently there has been an explosion of nuclear manybody methods with a sufficiently soft computational scaling to allow a reliable description of binding energies and spectra in nuclei up through the sd-shell starting from nucleon-nucleon and three-nucleon forces from chiral effective field theory (EFT) [11][12][13][14][15][16]. In spite of this progress, emergence of collective phenomena in nuclei still poses significant challenges to ab initio methods. Rotational states in p-shell nuclei have been successfully computed in the no-core shell-model and in Green'sfunction Monte-Carlo approaches [17][18][19][20][21], while in the sd-shell, deformed nuclei have only been accurately described in shell-model calculations using phenemenological interactions [22]. A symplectic approach has been proposed [23] to enable extension of the no-core shellmodel to larger model spaces and higher-mass nuclei, yet prototypical deformed nuclei like 20 Ne and 48 Cr remain out of reach in the aforementioned approaches. Furthermore, as deformed nuclei are truly open-shell, they

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“…Here, the rotational band formed from two alpha particles rotating around the common center of mass (CM) emerges naturally from underlying nucleon-nucleon interactions. This has been demonstrated using a number of different microscopic approaches [21,22,23]. Following our recent study in Ref.…”

Section: Search For Superradiance In Atomic Nucleimentioning

confidence: 99%