Lithium isotopes within the<i>ab initio</i>no-core full configuration approach

Cockrell, Chase; Vary, James P.; Maris, Pieter

doi:10.1103/physrevc.86.034325

Cited by 72 publications

(190 citation statements)

References 51 publications

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“…Among other efforts with ab initio no-core methods to address some of the same nuclei investigated here with, we mention our efforts with an NN interaction derived by inverse scattering methods, JISP16 [48] applied to 7 Li and 8 Li [49] using the no-core full configuration (NCFC) method [50]. Results of those investigations also appear to be in rough accord with the results presented here.…”

Section: Ab Initio No-core Shell Modelsupporting

confidence: 77%

Structure ofA=7–8 nuclei with two- plus three-nucleon interactions from chiral effective field theory

2013

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We solve the ab initio no-core shell model (NCSM) in the complete 8 Ω (Nmax = 8) basis for A = 7 and A = 8 nuclei with two-nucleon and three-nucleon interactions derived within chiral effective field theory (EFT). We find that including the chiral EFT three-nucleon interaction in the Hamiltonian improves overall agreement with experimental binding energies, excitation spectra, transitions and electromagnetic moments. We predict states that exhibit sensitivity to including the chiral EFT three-nucleon interaction but are not yet known experimentally.

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Section: Ab Initio No-core Shell Modelsupporting

confidence: 77%

Structure ofA=7–8 nuclei with two- plus three-nucleon interactions from chiral effective field theory

2013

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“…(With the nonlocal NN interaction JISP16, for which this extrapolation has been used extensively [1,3,38] these two criteria rarely lead to significant differences. )…”

Section: Comparison Of Extrapolation Methodsmentioning

confidence: 99%

Structure ofp-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group

et al. 2013

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The Similarity Renormalization Group (SRG) is used to soften interactions for ab initio nuclear structure calculations by decoupling low-and high-energy Hamiltonian matrix elements. The substantial contribution of both initial and SRG-induced three-nucleon forces requires their consistent evolution in a three-particle basis space before applying them to larger nuclei. While in principle the evolved Hamiltonians are unitarily equivalent, in practice the need for basis truncation introduces deviations, which must be monitored. Here we present benchmark no-core full configuration calculations with SRG-evolved interactions in p-shell nuclei over a wide range of softening. These calculations are used to assess convergence properties, extrapolation techniques, and the dependence of energies, including four-body contributions, on the SRG resolution scale.

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“…In addition, phase-equivalent transformations have been used to modify its off-shell properties in order to achieve a good description of selected states in light nuclei [14]. It gives a good description of most narrow states in light nuclei up to about A = 12 [15,16] without additional three-nucleon forces. For our calculations we use the code MFDn [4,5,6,7] which has been demonstrated to scale to over 200,000 cores, and we consider basis spaces with dimensions up to 3.3 billion basis states, and nearly 4 trillion nonzero matrix elements.…”

Section: Recent Results For Be Isotopes With Jisp16mentioning

confidence: 99%

Ab initio calculations for Be-isotopes with JISP16

Maris

2013

J. Phys.: Conf. Ser.

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Abstract. We present recent results from no-core configuration interaction calculations for 8 Be,10 Be, and 12 Be using the phenomenological two-body interaction JISP16. We calculate the binding energies of the ground state and the excitation energies of the low-lying positiveparity states. We discuss the contributions from the proton and neutron intrinsic spin and orbital motion to the total spin for several states, and use this to identify states which may be dominated by α-cluster configurations. In addition, we also calculate other observables such as dipole and quadrupole moments, as well as transition rates for select E2 transitions. No-Core Configuration Interaction approachConfiguration Interaction (CI) methods have been used in recent years to make increasingly accurate large scale ab initio calculations in nuclear structure, see e.g. Refs. [1, 2] and references therein. In this method, the many-body Schrödinger equationbecomes a large sparse matrix problem with eigenvalues E i . Improved algorithms to construct this matrix and to determine its lowest eigenstates, as well as efficient use of increasing computational resources are critical for these successes [3,4,5,6,7,8].In the No-Core CI (NCCI) approach [1, 2, 9] the wavefunction Ψ of a nucleus consisting of A nucleons (protons and neutrons) is expanded in an A-body basis of Slater determinants Φ k of single-particle wavefunctions φ nljm ( r)and A the antisymmetrization operation. Conventionally, one uses a harmonic oscillator (HO) basis for the singleparticle wavefunctions, but it is straightforward to extend this approach to a more general single-particle basis [10]. The single-particle wavefunctions are labelled by the quantum numbers n, l, j, and m, where n and l are the radial and orbital HO quantum numbers, with N i = 2n i + l i the number of HO quanta; j is the total single-particle spin, and m its projection along the z-axis. The many-body basis states Φ k have well-defined total spin-projection, which is simply the sum of m i of the single-particle states, M = m i (hence the name M -scheme), but they do not have a well-defined total spin J. Some of the benefits of this scheme is that it is straightforward to implement, and that in two runs (one for positive and one for negative parity), we get the complete low-lying spectrum, including the ground state, even if the spin of the ground state is not known a priori.

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Lithium isotopes within theab initiono-core full configuration approach

Cited by 72 publications

References 51 publications

Structure ofA=7–8 nuclei with two- plus three-nucleon interactions from chiral effective field theory

Structure ofA=7–8 nuclei with two- plus three-nucleon interactions from chiral effective field theory

Structure ofp-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group

Ab initio calculations for Be-isotopes with JISP16

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