Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective

Dreyfuss, A C; Launey, Kristina D.; Dytrych, Tomáš; Draayer, J. P.; Baker, Robert; Deibel, C. M.; Bahri, C.

doi:10.1103/physrevc.95.044312

Cited by 23 publications

(17 citation statements)

References 89 publications

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“…In particular, we were able to confirm earlier NLEFT results concerning the structure of the Hoyle state and the second 2 + state [21]. For the Hoyle state, prolate α cluster configurations are very important [33], and the second 2 + state is consistent with the interpretation as a rotational excitation of the Hoyle state. Our results provide confirmation that 12 C sits at a fascinating balance point where the competition between the shell structure and clustering Fig.…”

Section: Discussionsupporting

confidence: 87%

Wigner SU(4) symmetry, clustering, and the spectrum of $$^{12}$$C

et al. 2021

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We present lattice calculations of the low-lying spectrum of $$^{12}$$ 12 C using a simple nucleon–nucleon interaction that is independent of spin and isospin and therefore invariant under Wigner’s SU(4) symmetry. We find strong signals for all excited states up to $$\sim 15$$ ∼ 15 MeV above the ground state, and explore the structure of each state using a large variety of $$\alpha $$ α cluster and harmonic oscillator trial states, projected onto given irreducible representations of the cubic group. We are able to verify earlier findings for the $$\alpha $$ α clustering in the Hoyle state and the second $$2^+$$ 2 + state of $$^{12}$$ 12 C. The success of these calculations to describe the full low-lying energy spectrum using spin-independent interactions suggest that either the spin-orbit interactions are somewhat weak in the $$^{12}$$ 12 C system, or the effects of $$\alpha $$ α clustering are diminishing their influence. This is in agreement with previous findings from ab initio shell model calculations.

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Section: Discussionsupporting

confidence: 87%

Wigner SU(4) symmetry, clustering, and the spectrum of $$^{12}$$C

et al. 2021

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“…The symmetry-adapted no-core shell model overcomes the problem of efficiently describing clustering by making use of exact and dynamical symmetries of the spherical harmonic oscillator Hamiltonian associated with collective mode excitations (Draayer et al, 2011;Dreyfuss et al, 2016Dreyfuss et al, , 2013Dytrych et al, 2013Dytrych et al, , 2007. We can rewrite the single-particle spherical harmonic oscillator Hamiltonian in terms of the usual ladder operators,…”

Section: No-core Shell Modelmentioning

confidence: 99%

Microscopic clustering in light nuclei

et al. 2018

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We review recent experimental and theoretical progress in understanding the microscopic details of clustering in light nuclei. We discuss recent experimental results on α-conjugate systems, molecular structures in neutron-rich nuclei, and constraints for ab initio theory. We then examine nuclear clustering in a wide range of theoretical methods, including the resonating group and generator coordinate methods, antisymmetrized molecular dynamics, Tohsaki-Horiuchi-Schuck-Röpke wave function and container model, no-core shell model methods, continuum quantum Monte Carlo, and lattice effective field theory.

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“…α widths and α-capture reactions of intermediate-mass nuclei are now feasible in the ab initio SA framework, including intermediate-mass nuclei along the path of XRB nucleosynthesis. In general, the formalism is applicable up through the medium-mass region with the ab initio SA-NCSM as well as for heavier nuclei, for instance, when nuclear fragments are described in the no-core symplectic shell model (NCSpM) with effective many-nucleon interaction (115)(116)(117)(118). The NCSpM can reach ultralarge model spaces and has achieved successful microscopic descriptions of low-lying states in deformed A = 8-24 nuclei (117), particularly the elusive Hoyle state in 12 C and its first 2 + and 4 + excitations (116).…”

Section: α-Induced Reactionsmentioning

confidence: 99%

Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework

Launey

Mercenne

Dytrych

2021

Annu. Rev. Nucl. Part. Sci.

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We review the ab initio symmetry-adapted (SA) framework for determining the structure of stable and unstable nuclei, along with related electroweak, decay, and reaction processes. This framework utilizes the dominant symmetry of nuclear dynamics, the shape-related symplectic SP(3,ℝ) symmetry, which has been shown to emerge from first principles and to expose dominant degrees of freedom that are collective in nature, even in the lightest species or seemingly spherical states. This feature is illustrated for a broad scope of nuclei ranging from helium to titanium isotopes, enabled by recent developments of the ab initio SA no-core shell model expanded to the continuum through the use of the SA basis and that of the resonating group method. The review focuses on energies, electromagnetic transitions, quadrupole and magnetic moments, radii, form factors, and response function moments for ground-state rotational bands and giant resonances. The method also determines the structure of reaction fragments that is used to calculate decay widths and α-capture reactions for simulated X-ray burst abundance patterns, as well as nucleon–nucleus interactions for cross sections and other reaction observables. Expected final online publication date for the Annual Review of Nuclear and Particle Science, Volume 71 is September 2021. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

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Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective

Cited by 23 publications

References 89 publications

Wigner SU(4) symmetry, clustering, and the spectrum of $$^{12}$$C

Wigner SU(4) symmetry, clustering, and the spectrum of $$^{12}$$C

Microscopic clustering in light nuclei

Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework

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