Nonlocality in the nucleon-nucleon interaction and three-nucleon bound states

Doleschall, P.; Borbély, I.; Papp, Z.; Plessas, W.

doi:10.1103/physrevc.67.064005

Cited by 82 publications

(109 citation statements)

References 22 publications

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“…where two low energy constants of the two-body M1 operators are fixed [20] we choose a set of realistic models of nucleon-nucleon interactions, namely: Argonne v18 potential (AV18) [22], INOY potential [23], Reid soft-core potential (Reid) and Nijmegen potential(NijmII) [24]. Also, we have performed calculations for the AV18 potential in conjunction with the Urbana IX three-nucleon force potential [25] (denoted as AV18+UIX).…”

Section: Formalismmentioning

confidence: 99%

Parity violation in radiative neutron capture on the deuteron

2012

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Parity violating (PV) effects in neutron-deuteron radiative capture are studied using Desplanques, Donoghue, and Holstein (DDH) and effective field theory (EFT) weak potentials. The values of PV effects are calculated using wave functions, obtained by solving three-body Faddeev equations in configuration space for realistic strong potentials. The relations between physical observables and low-energy constants are presented, and dependencies of the calculated PV effects on strong and weak potentials are discussed. The presented analysis shows the possible reason for the existing discrepancy in PV nuclear data analysis using the DDH approach and reveals a new opportunity to study short range interactions in nuclei.

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Section: Formalismmentioning

confidence: 99%

Parity violation in radiative neutron capture on the deuteron

2012

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“…Several realistic nucleon-nucleon potentials have been tested to represent the strong interaction: Argonne v18 potential (AV18) [8], "Inside Non-local Outside Yukawa tail" (INOY) potential [9], Reid soft-core (Reid) and Nijmegen potentials (NijmII) [10]. Also, we have performed calculations with the AV18 potential in conjunction with the Urbana IX threenucleon force (AV18+UIX) potential [11].…”

Section: Introductionmentioning

confidence: 99%

Nuclear electric dipole moment of three-body systems

2013

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Background The existence of Electric Dipole Moment (EDM) of stable nuclei would be a direct evidence of time reversal invariance violation (TRIV). Therefore, it's measurement could be considered as a complementary to the search for neutron and atomic EDMs.Purpose To clarify theoretical issues related to calculations of EDMs in many body systems we calculated the EDMs of the simplest nuclei.Method For calculations of three-nucleon systems EDMs we used TRIV potentials based on the meson exchange theory, as well as the ones derived by using effective field theories (EFT) with and without explicit pions. Nuclear wave functions were obtained by solving Faddeev equations in configuration space for the complete Hamiltonians comprising both TRIV and realistic strong interactions. ResultsThe expressions for EDMs of 3 He and 3 H are given in terms of meson exchange couplings and low energy constants of EFT potentials. ConclusionsThe obtained results are compared with the previous calculations of 3 He EDM and with time reversal invariance violating effects in neutron-deuteron scattering. The model dependence on strong interactions is discussed.

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“…In this paper, we calculate the ground-state properties of 4 He, 6 He and 8 He within the NCSM. We test two vastly different accurate nucleonnucleon (NN) potentials, the CD-Bonn [9] and the the INOY (Inside Nonlocal Outside Yukawa) [10,11].In the NCSM, we consider a system of A point-like non-relativistic nucleons that interact by realistic two-or two-plus three-nucleon interactions. The calculations are * etienne.caurier@ires.in2p3.fr † navratil1@llnl.gov performed using a finite harmonic oscillator (HO) basis.…”

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Proton radii ofHe4,6,8isotopes from high-precision nucleon-nucleon interactions

Caurier

Navrátil

2006

Phys. Rev. C

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Recently, precision laser spectroscopy on 6 He atoms determined accurately the isotope shift between 4 He and 6 He and, consequently, the charge radius of 6 He. A similar experiment for 8 He is under way. We have performed large-scale ab initio calculations for 4,6,8 He isotopes using highprecision nucleon-nucleon (NN) interactions within the no-core shell model (NCSM) approach. With the CD-Bonn 2000 NN potential we found point-proton root-mean-square (rms) radii of 4 He and 6 He 1.45(1) fm and 1.89(4), respectively, in agreement with experiment and predict the 8 He point proton rms radius to be 1.88(6) fm. At the same time, our calculations show that the recently developed nonlocal INOY NN potential gives binding energies closer to experiment, but underestimates the charge radii.PACS numbers: 21.60. Cs, 21.30.Fe, 24.10.Cn, 27.20.+n Recent advances in the theory of the atomic structure of helium [1] as well as in the techniques of isotopic shift measurement made it possible to determine accurately the charge radius of 6 He [2]. Precision laser spectroscopy on individual 6 He atoms confined and cooled in a magneto-optical trap was performed and measured the isotope shift between 6 He and 4 He. With the help of precise quantum mechanical calculations with relativistic and QED corrections [3] and from the knowledge of the charge radius of 4 He (1.673(1) [4]), it was possible to determine the charge radius of 6 He to be 2.054 ± 0.014 fm [2]. The large difference between the 4 He and 6 He charge radii is due to the extra two loosely bound neutrons in 6 He that form a halo [5]. A similar experiment to determine the charge radius of 8 He is under way [6].It is a challenge for ab initio many-body methods to calculate the nuclear radii with an accuracy comparable to current experimental accuracy and test in this way the nuclear Hamiltonians used as the input of ab initio calculations. At present, there are two ab initio approaches capable of describing simultaneously the 4 He, 6 He and 8 He isotopes starting from realistic inter-nucleon interactions. One is the Green's function Monte Carlo (GFMC) method [7] and the other is the ab initio no-core shell model (NCSM) [8]. In this paper, we calculate the ground-state properties of 4 He, 6 He and 8 He within the NCSM. We test two vastly different accurate nucleonnucleon (NN) potentials, the CD-Bonn [9] and the the INOY (Inside Nonlocal Outside Yukawa) [10,11].In the NCSM, we consider a system of A point-like non-relativistic nucleons that interact by realistic two-or two-plus three-nucleon interactions. The calculations are * etienne.caurier@ires.in2p3.fr † navratil1@llnl.gov performed using a finite harmonic oscillator (HO) basis. As in the present application we aim at describing loosely bound states, it is desirable to include as many terms as possible in the expansion of the total wave function. By restricting our study to two-nucleon (NN) interactions, even though the NCSM allows for the inclusion of threebody forces [12], we are able to maximize the model space and t...

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Nonlocality in the nucleon-nucleon interaction and three-nucleon bound states

Cited by 82 publications

References 22 publications

Parity violation in radiative neutron capture on the deuteron

Parity violation in radiative neutron capture on the deuteron

Nuclear electric dipole moment of three-body systems

Proton radii ofHe4,6,8isotopes from high-precision nucleon-nucleon interactions

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