Precision measurement of the 
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 transition strength to the 
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 state of 
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D’Alessio, Antonio; Mongelli, Tobias; Arnold, Michaela; Bassauer, S.; Birkhan, J.; Brandherm, I.; Hilcker, M.; Hüther, T.; Isaak, J.; Jürgensen, Lars; Klaus, T.; Mathy, M.; Neumann-Cosel, P. von; Pietralla, N.; Ponomarev, V. Yu.; Ries, P.; Roth, Robert; Singer, M.; Steinhilber, G.; Vobig, Klaus; Werner, V.

doi:10.1103/physrevc.102.011302

Cited by 9 publications

(11 citation statements)

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“…An alternative possibility is theoretical studies: quite a few studies, for example 8 – 16 , were performed based on models or assumptions including limiting cases like linear chains 3 , 15 , equilateral triangles 13 , and a Bose-Einstein condensate 14 . More recently ab initio calculations were reported 17 – 20 , where two α clusters in the ground state of 8 Be were suggested 17 (see Fig. 1 b).…”

Section: Introductionmentioning

confidence: 84%

α-Clustering in atomic nuclei from first principles with statistical learning and the Hoyle state character

et al. 2022

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A long-standing crucial question with atomic nuclei is whether or not α clustering occurs there. An α particle (helium-4 nucleus) comprises two protons and two neutrons, and may be the building block of some nuclei. This is a very beautiful and fascinating idea, and is indeed plausible because the α particle is particularly stable with a large binding energy. However, direct experimental evidence has never been provided. Here, we show whether and how α(-like) objects emerge in atomic nuclei, by means of state-of-the-art quantum many-body simulations formulated from first principles, utilizing supercomputers including K/Fugaku. The obtained physical quantities exhibit agreement with experimental data. The appearance and variation of the α clustering are shown by utilizing density profiles for the nuclei beryllium-8, -10 and carbon-12. With additional insight by statistical learning, an unexpected crossover picture is presented for the Hoyle state, a critical gateway to the birth of life.

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Section: Introductionmentioning

confidence: 84%

α-Clustering in atomic nuclei from first principles with statistical learning and the Hoyle state character

et al. 2022

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“…Additional systematic errors due to the choice of interaction are described in Methods. In Table 2, the electric quadrupole moments of the 2 + states and electric transition rates involving the 0 + 1 , 0 + 2 , 0 + 3 , and 2 + 1 states of 12 C obtained by NLEFT are given in comparison with other theoretical calculations 25,43 and experimental data. 44,45 While the quadrupole transitions have significant errors due to broken rotational invariance, the overall agreement with empirical results is good.…”

Section: Nleftmentioning

confidence: 99%

“…2. Quadrupole moment and transition rates of 12 C calculated by NLEFT, compared to calculations based on FMD, 25 α cluster models, 25 in-medium no-core shell model (NCSM), 43 generator coordinate method (GCM) calculation 51 and experiment. 44,45 Units for Q and M(E0) are e fm 2 , and for B(E2) e 2 fm 4 .…”

Section: Introductionmentioning

confidence: 99%

Emergent geometry and duality in the carbon nucleus

Shen¹,

Lähde²,

Lee³

et al. 2022

Preprint

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The carbon atom provides the backbone for the complex organic chemistry composing the building blocks of life. The physics of the carbon nucleus in its predominant isotope, 12 C, is similarly full of multifaceted complexity. Some nuclear states of 12 C can be preferentially treated as a collection of independent particles held by the mean field of the nucleus, while other states behave more as a collection of three alpha-particle clusters. But these two pictures are not mutually exclusive, and some states can be described in either fashion. 1, 2 In this work, we provide the first model-independent tomographic scan of the three-dimensional geometry of the nuclear states of 12 C using the ab initio framework of nuclear lattice effective field theory. We find that the well-known but enigmatic Hoyle state is composed of a "bent-arm" or obtuse triangular arrangement of alpha clusters. We identify all of the low-lying nuclear states of 12 C as having an intrinsic shape composed of three alpha clusters forming either an equilateral triangle or an obtuse triangle. From these basic structural formations, the various nuclear states correspond to different rotational and vibrational excitations as well as either distortions or large-amplitude displacements of the alpha clusters. The states with the equilateral triangle formation also have a dual description in terms of particle-hole excitations in the mean-field picture. We compare our theoretical calculations with experimental data for binding energies, quadrupole moments, electromagnetic transitions, charge densities, and form factors. The overall agreement is good, and further studies using higher-fidelity interactions are planned.

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“…Applying the same logic as in the VS-IMSRG case, the IMSRG has been merged with the No-Core Shell Model (NCSM, see Section 2.3.6) into the In-Medium NCSM [84,97]. In this approach, the IMSRG improves the Hamiltonian with dynamical correlations from high-energy few-nucleon Hergert A Guided Tour of Ab Initio Nuclear Many-Body Theory excitations that would require enormously large model spaces in the conventional NCSM, and the exact diagonalization in a small model space describes the dynamics of many-nucleon excitations.…”

Section: Hergertmentioning

confidence: 99%

A Guided Tour of Ab Initio Nuclear Many-Body Theory

Hergert

2020

Preprint

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Over the last decade, new developments in Similarity Renormalization Group techniques and nuclear many-body methods have dramatically increased the capabilities of ab initio nuclear structure and reaction theory. Ground and excited-state properties can be computed up to the tin region, and from the proton to the presumptive neutron drip lines, providing unprecedented opportunities to confront two-plus three-nucleon interactions from chiral Effective Field Theory with experimental data. In this contribution, I will give a broad survey of the current status of nuclear many-body approaches, and I will use selected results to discuss both achievements and open issues that need to be addressed in the coming decade.

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Precision measurement of the E2 transition strength to the 21+ state of C12

Cited by 9 publications

References 50 publications

α-Clustering in atomic nuclei from first principles with statistical learning and the Hoyle state character

α-Clustering in atomic nuclei from first principles with statistical learning and the Hoyle state character

Emergent geometry and duality in the carbon nucleus

A Guided Tour of Ab Initio Nuclear Many-Body Theory

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