From bound states to the continuum

Johnson, Calvin W.; Launey, Kristina D.; Auerbach, Naftali; Bacca, Sonia; Barrett, Bruce R.; Brune, Carl; Caprio, Mark A.; Descouvemont, Pierre; Dickhoff, W. H.; Elster, Charlotte; Fasano, Patrick J.; Fossez, Kevin; Hergert, Heiko; Hjorth-Jensen, Morten; Hlophe, Linda; Hu, Baishan; Betan, Rodolfo M. Id; Idini, Andrea; König, Sebastian; Kravvaris, Konstantinos; Lee, Dean; Lei, Jin; Mercenne, Alexis; Perez, Rodrigo Navarro; Nazarewicz, Witold; Nunes, F. M.; Ploszajczak, Marek; Quaglioni, Sofia; Rotureau, Jimmy; Rupak, Gautam; Shirokov, Andrey M.; Thompson, Ian; Vary, James P.; Volya, Alexander; Xu, Furong; Zegers, Remco G. T.; Zelevinsky, Vladimir; Zhang, Xilin

doi:10.48550/arxiv.1912.00451

Cited by 5 publications

(9 citation statements)

References 307 publications

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“…In addition, indirect experimental methods such as the Trojan Horse Method or those used to extract Asymptotic Normalization Coefficients have been developed, enabling the determination of reaction rates that are too low for direct measurements [112,113,114]. In addition, the prediction of reaction rates by ab initio many-body theory (or "from first principles") has made remarkable progress [115,116]), and the calculation of reactions beyond the lightest nuclei has now become feasible, e.g., for α-capture reactions [117] and nucleon scattering [118,119].…”

Section: How Did We Get Here?mentioning

confidence: 99%

Horizons: Nuclear Astrophysics in the 2020s and Beyond

Schatz,

Reyes,

Best

et al. 2022

Preprint

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Nuclear Astrophysics is a field at the intersection of nuclear physics and astrophysics, which seeks to understand the nuclear engines of astronomical objects and the origin of the chemical elements. This white paper summarizes progress and status of the field, the new open questions that have emerged, and the tremendous scientific opportunities that have opened up with major advances in capabilities across an ever growing number of disciplines and subfields that need to be integrated. We take a holistic view of the field discussing the unique challenges and opportunities in nuclear astrophysics in regards to science, diversity, education, and the interdisciplinarity and breadth of the field. Clearly nuclear astrophysics is a dynamic field with a bright future that is entering a new era of discovery opportunities.

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Section: How Did We Get Here?mentioning

confidence: 99%

Horizons: Nuclear Astrophysics in the 2020s and Beyond

Schatz,

Reyes,

Best

et al. 2022

Preprint

Self Cite

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“…The final important research direction for the coming decade I want to discuss here are efforts to interface the advanced ab initio nuclear structure methods at our disposal with reaction theory [326].…”

Section: Interfacing With Reaction Theorymentioning

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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“…Finally, with this value of ∆, we fit λ F from Eq. (10). In this way, the Fermi level and the pairing gap have been obtained for each even nucleus.…”

Section: B One and Two-neutron Separation Energiesmentioning

confidence: 99%

“…This simple comparison between two elements which defer only in a single proton, shows the complicated character of drip lines systems, posing a big challenge to nuclear structure models. Interaction [6], continuum [7] and many-body correlations [8], all together collude in this kingdom [9,10].…”

Section: Introductionmentioning

confidence: 99%

Estimate of the location of the neutron drip line for calcium isotopes from an exact Hamiltonian with continuum pair correlations

Dassie

Betán

2020

Phys. Rev. C

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Background: The eastern region of the calcium isotope chain of the nuclei chart is, nowadays, of great activity. The experimental assessment of the limit of stability is of interest to confirm or improve microscopic theoretical models. Purpose: The goal of this work is to provide the drip line of the calcium isotopes from the exact solution of the pairing Hamiltonian which incorporate explicitly the correlations with the continuum spectrum of energy. Method: The modified Richardson equations, which include correlations with the continuum spectrum of energy modeled by the continuum single particle level density, is used to solve the many-body system. Three models are used, two isospin independent models with core 40 Ca and 48 Ca, and one isospin dependent model. Results: One and two-neutron separation energies and occupation probabilities for bound and continuum states are calculated from the solution of the Richardson equations. Conclusions: The one particle drip line is found at the nucleus 57 Ca, while the two neutron drip line is found at the nucleus 60 Ca from the isospin independent model and at 66 Ca from the isospin dependent one.

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From bound states to the continuum

Cited by 5 publications

References 307 publications

Horizons: Nuclear Astrophysics in the 2020s and Beyond

Horizons: Nuclear Astrophysics in the 2020s and Beyond

A Guided Tour of Ab Initio Nuclear Many-Body Theory

Estimate of the location of the neutron drip line for calcium isotopes from an exact Hamiltonian with continuum pair correlations

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