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Navrátil, Petr; Quaglioni, Sofia

doi:10.1103/physrevlett.108.042503

Cited by 135 publications

(169 citation statements)

References 27 publications

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“…In recent years there has been much progress in ab initio nuclear scattering and reactions involving light nuclei [1][2][3][4][5] as well as medium-mass nuclei [6,7]. However, the computational scaling for most numerical methods increases significantly when the projectile nucleus has more than a few nucleons.…”

Section: Introductionmentioning

confidence: 99%

Ab initio alpha–alpha scattering

Elhatisari

Lee

Rupak

et al. 2015

Nature

169

190

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Processes involving alpha particles and alpha-like nuclei comprise a major part of stellar nucleosynthesis and hypothesized mechanisms for thermonuclear supernovae. In an effort towards understanding alpha processes from first principles, we describe in this letter the first ab initio calculation of alpha-alpha scattering. We use lattice effective field theory to describe the low-energy interactions of nucleons and apply a technique called the adiabatic projection method to reduce the eight-body system to an effective two-cluster system. We find good agreement between lattice results and experimental phase shifts for S-wave and D-wave scattering. The computational scaling with particle number suggests that alpha processes involving heavier nuclei are also within reach in the near future.

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Section: Introductionmentioning

confidence: 99%

Ab initio alpha–alpha scattering

Elhatisari

Lee

Rupak

et al. 2015

Nature

169

190

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“…The Green's function Monte Carlo (GFMC) method has been formulated as a particle-in-a-box method and used to compute phase shifts in the 5 He system with a full realistic Hamiltonian [11]. The no-core shell model (NCSM) has been merged with the resonating group method (RGM) to produce phase shifts and reaction cross sections in several systems using effective two-body forces without explicit three-body terms [12][13][14][15]. The coupled-cluster method has been combined with a Gamow shell model basis to compute complex energies E = E R − iΓ/2 of resonances and thus their excitation energies E R and total widths Γ.…”

Section: Introductionmentioning

confidence: 99%

Ab initiocalculations of nuclear widths via an integral relation

Nollett

2012

Phys. Rev. C

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I describe the computation of energy widths of nuclear states using an integral over the interaction region of ab initio variational Monte Carlo wave functions, and I present calculated widths for many states. I begin by presenting relations that connect certain short-range integrals to widths. I then present predicted widths for 5 ≤ A ≤ 9 nuclei, and I compare them against measured widths. They match the data more closely and with less ambiguity than estimates based on spectroscopic factors. I consider the consequences of my results for identification of observed states in 8 B, 9 He, and 9 Li. I also examine failures of the method and conclude that they generally involve broad states and variational wave functions that are not strongly peaked in the interaction region. After examining bound-state overlap functions computed from a similar integral relation, I conclude that overlap calculations can diagnose cases in which computed widths should not be trusted.

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“…[15] for the description of nucleon-nucleus collisions. The formalism was later extended in order to address deuteron impinging on a target [34] and (d, N ) fusion -or transfer -reactions with an s-shell target [20,35]. The latter reaction mechanism is characterized by different mass partitions in the entrance and exit channels.…”

Section: Formalismmentioning

confidence: 99%

“…[20] to processes involving p-shell targets. The much larger size of the model space compared to s-shell targets and the memory required for storing the Hamiltonian matrix elements had so far precluded such calculations.…”

Section: Introductionmentioning

confidence: 99%

Deuteron-induced nucleon transfer reactions within anab initioframework: First application top-shell nuclei

et al. 2016

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Background: Low-energy transfer reactions in which a proton is stripped from a deuteron projectile and dropped into a target play a crucial role in the formation of nuclei in both primordial and stellar nucleosynthesis, as well as in the study of exotic nuclei using radioactive beam facilities and inverse kinematics. Ab initio approaches have been successfully applied to describe the 3 H(d, n) 4 He and 3 He(d, p) 4 He fusion processes.Purpose: An ab initio treatment of transfer reactions would also be desirable for heavier targets. In this work, we extend the ab initio description of (d, p) reactions to processes with light p-shell nuclei. As a first application, we study the elastic scattering of deuterium on 7 Li and the 7 Li(d,p) 8 Li transfer reaction based on a two-body Hamiltonian. Methods:We use the no-core shell model to compute the wave functions of the nuclei involved in the reaction, and describe the dynamics between targets and projectiles with the help of microscopic-cluster states in the spirit of the resonating group method.Results: The shape of the excitation functions for deuteron impinging on 7 Li are qualitatively reproduced up to the deuteron breakup energy. The interplay between d-7 Li and p-8 Li particle-decay channels determines some features of the 9 Be spectrum above the d+ 7 Li threshold. Our prediction for the parity of the 17.298 MeV resonance is at odds with the experimental assignment.Conclusions: Deuteron stripping reactions with p-shell targets can now be computed ab initio, but calculations are very demanding. A quantitative description of the 7 Li(d,p) 8 Li reaction will require further work to include the effect of three-nucleon forces and additional decay channels, and improve the convergence rate of our calculations.

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Ab InitioMany-Body Calculations of theH3(d,n)He4and

Cited by 135 publications

References 27 publications

Ab initio alpha–alpha scattering

Ab initio alpha–alpha scattering

Ab initiocalculations of nuclear widths via an integral relation

Deuteron-induced nucleon transfer reactions within anab initioframework: First application top-shell nuclei

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