Isoscalar Hamiltonians for light atomic nuclei

Kamuntavičius, Gintautas P.; Navrátil, Petr; Barrett, B. R.; Sapragonaite, G.; Kalinauskas, R.K.

doi:10.1103/physrevc.60.044304

Cited by 22 publications

(18 citation statements)

References 13 publications

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“…These calculations are denoted by an asterisk (*) in the table, and will be referred to as chargesymmetry-conserving (CSC) results. For 3 He, 8 B, and 9 C ground states we also made independent calculations with different starting VMC wave functions and different isoscalar Coulomb terms [1,32] in the GFMC propagator appropriate to the T z = +T state. We then use these wave functions to predict the quantities in their isobaric analogs, i.e., 3 H, 8 Li, and 9 Li.…”

Section: Resultsmentioning

confidence: 99%

Quantum Monte Carlo calculations of electromagnetic moments and transitions inA≤9nuclei with meson-exchange currents derived from chiral effective field theory

et al. 2013

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Quantum Monte Carlo calculations of electromagnetic moments and transitions are reported for A ≤ 9 nuclei. The realistic Argonne v18 two-nucleon and Illinois-7 three-nucleon potentials are used to generate the nuclear wave functions. Contributions of two-body meson-exchange current (MEC) operators are included for magnetic moments and M 1 transitions. The MEC operators have been derived in both a standard nuclear physics approach and a chiral effective field theory formulation with pions and nucleons including up to one-loop corrections. The two-body MEC contributions provide significant corrections and lead to very good agreement with experiment. Their effect is particularly pronounced in the A = 9, T = 3/2 systems, in which they provide up to ∼ 20% (∼ 40%) of the total predicted value for the 9 Li ( 9 C) magnetic moment.

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Section: Resultsmentioning

confidence: 99%

Quantum Monte Carlo calculations of electromagnetic moments and transitions inA≤9nuclei with meson-exchange currents derived from chiral effective field theory

et al. 2013

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“…For the three-nucleon SRG evolution, we switch off the Coulomb interaction and use the isospin averaging of the N N interaction developed in Ref. [53]. The resulting SRG-induced 3N interaction is then isospin invariant and the expressions (20) and (21) are fully equivalent.…”

Section: Treatment Of the Isospin Symmetry In The Ncsm/rgmmentioning

confidence: 99%

Ab initiomany-body calculations of nucleon-4He scattering with three-nucleon forces

et al. 2013

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We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N ) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N -force integration kernels, and discuss computational aspects of two alternative implementations. The extended theoretical framework is then applied to nucleon-4 He scattering using similarity-renormalization-group (SRG) evolved nucleon-nucleon plus three-nucleon potentials derived from chiral effective field theory. We analyze the convergence properties of the calculated phase shifts and explore their dependence upon the SRG evolution parameter. We include up to six excited states of the 4 He target and find significant effects from the inclusion of the chiral 3N force, e.g., it enhances the spin-orbit splitting between the 3/2 − and 1/2 − resonances and leads to an improved agreement with the phase shifts obtained from an accurate R-matrix analysis of the five-nucleon experimental data. We find remarkably good agreement with measured differential cross sections at various energies, while analyzing powers manifest larger deviations from experiment for certain energies and angles.

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“…with eigenvalue E 0 . In practice, a simplified version H ′ of the Hamiltonian H is used in the operator, which includes the isoscalar part of the kinetic energy, a chargeindependent eight-operator projection of AV18 called AV8 ′ , a strength-adjusted version of the three-nucleon potential IL7 ′ (adjusted so that H ′ ∼ H ), and an isoscalar Coulomb term that integrates to the total charge of the given nucleus [16]. The difference between H and H ′ is calculated using perturbation theory.…”

Section: T N I Ijkmentioning

confidence: 99%

“…The ground state lies ∼ 0.1 MeV above the threshold for breakup into two α's, while the (2 + ; 0) state at ∼ 3 MeV excitation and (4 + ; 0) state at ∼ 11 MeV, are [44] rotational states with large (∼ 1.5-3.5 MeV) decay widths. The next six higher states at [16][17][18][19] MeV excitation are three isospin-mixed doublets, with the first pair of (2 + ; 0+1) states lying below the threshold for breakup into 7 Li+p and having α + α decay widths of ∼ 100 keV. The isospin mixing is due to the interplay between T = 0 states and T = 1 states that are the isobaric analogs of the lowest three states in 8 Li and 8 B, all with the same dominant [431] spatial symmetry.…”

Section: Introductionmentioning

confidence: 99%

Quantum Monte Carlo calculations of electromagnetic transitions inBe8with meson-exchange currents derived from chiral effective field theory

et al. 2014

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We report quantum Monte Carlo calculations of electromagnetic transitions in 8 Be. The realistic Argonne v18 two-nucleon and Illinois-7 three-nucleon potentials are used to generate the ground state and nine excited states, with energies that are in excellent agreement with experiment. A dozen M 1 and eight E2 transition matrix elements between these states are then evaluated. The E2 matrix elements are computed only in impulse approximation, with those transitions from broad resonant states requiring special treatment. The M 1 matrix elements include two-body meson-exchange currents derived from chiral effective field theory, which typically contribute 20-30% of the total expectation value. Many of the transitions are between isospin-mixed states; the calculations are performed for isospin-pure states and then combined with empirical mixing coefficients to compare to experiment. Alternate mixings are also explored. In general, we find that transitions between states that have the same dominant spatial symmetry are in reasonable agreement with experiment, but those transitions between different spatial symmetries are often underpredicted.

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Isoscalar Hamiltonians for light atomic nuclei

Cited by 22 publications

References 13 publications

Quantum Monte Carlo calculations of electromagnetic moments and transitions inA≤9nuclei with meson-exchange currents derived from chiral effective field theory

Quantum Monte Carlo calculations of electromagnetic moments and transitions inA≤9nuclei with meson-exchange currents derived from chiral effective field theory

Ab initiomany-body calculations of nucleon-4He scattering with three-nucleon forces

Quantum Monte Carlo calculations of electromagnetic transitions inBe8with meson-exchange currents derived from chiral effective field theory

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