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Alder, J.C.; Joseph, C.; Loude, J.-F.; Morel, N.; Perrenoud, Alexandre Grand-Guillaume; Perroud, J. P.; Trân, M. T.; Winkelmann, E.; Dahme, W.; Panke, H.; Renker, D.; Zupančič, Č.; Strassner, G.; Truöl, P.

doi:10.1103/physrevlett.42.1508

Cited by 89 publications

(29 citation statements)

References 10 publications

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“…The low-energy scattering parameters are shown in Table VIII and compared to experimental results [29,27,32]. The scattering lengths and effective ranges are calculated both with and without the electromagnetic interaction.…”

Section: Data Fittingmentioning

confidence: 99%

Accurate nucleon-nucleon potential with charge-independence breaking

1995

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We present a new high-quality nucleon-nucleon potential with explicit charge dependence and charge asymmetry, which we designate Argonne v 18 . The model has a charge-independent part with fourteen operator components that is an updated version of the Argonne v 14 potential. Three additional chargedependent and one charge-asymmetric operators are added, along with a complete electromagnetic interaction. The potential has been fit directly to the Nijmegen pp and np scattering data base, low-energy nn scattering parameters, and deuteron binding energy. With 40 adjustable parameters it gives a 1 χ 2 per datum of 1.09 for 4301 pp and np data in the range 0-350 MeV.

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Section: Data Fittingmentioning

confidence: 99%

Accurate nucleon-nucleon potential with charge-independence breaking

1995

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“…Perhaps the best illustration that in real life Coulomb correction can be quite large is provided by the nucleon-nucleon scattering. With exact isospin invariance the nn and pp 1 S 0 scattering lengths in absence of Coulomb interaction should be equal but experimentally [1,2,3]: a nn = −18.6 ± 0.5 fm and a pp = −7.828 ± 0.008 fm. It has been confirmed by model calculations that most of the difference in these two values may be attributed to the Coulomb interaction.…”

Section: Introductionmentioning

confidence: 97%

Effective range function below threshold

Deloff

2000

J. Phys. G: Nucl. Part. Phys.

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Abstract. We demonstrate that the kernel of the Lippmann-Schwinger equation, associated with interactions consisting of a sum of the Coulomb plus a short range nuclear potential, below threshold becomes degenerate. Taking advantage of this fact, we present a simple method of calculating the effective range function for negative energies. This may be useful in practice since the effective range expansion extrapolated to threshold allows to extract the lowenergy scattering parameters: the Coulomb modified scattering length and the effective range.

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“…Highly realistic two-nucleon potentials, either purely phenomenological [1][2][3][4] or based on chiral perturbation theory (ChPT) [5,6], have been obtained from accurate fits of the properties of the bound and scattering states of the two-nucleon system [7][8][9][10][11][12][13]. Unfortunately, however, the extension to the case of the three-nucleon potential is not straightforward.…”

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confidence: 99%

Comparative study of three-nucleon potentials in nuclear matter

et al. 2012

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A new generation of local three-body potentials providing an excellent description of the properties of light nuclei, as well as of the neutron-deuteron doublet scattering length, has been recently derived. We have performed a comparative analysis of the equations of state of both pure neutron matter (PNM) and symmetric nuclear matter (SNM) at zero temperature obtained using these models of three-nucleon forces. In particular, we have carried out both variational and Auxiliary Field Diffusion Monte Carlo (AFDMC) calculations of the equation of state of PNM, while in the case of SNM we have only the variational approach has been considered. None of the considered potentials simultaneously explains the empirical equilibrium density and binding energy of symmetric nuclear matter. However, two of them provide reasonable values of the saturation density. The ambiguity concerning the treatment of the contact term of the chiral inspired potentials is discussed.

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n−nScattering Length from the Photon Spectra of the Reactionsπ−d→γnnand
J.C. Alder
¹
,
C. Joseph
²
,
J.-F. Loude
³

et al.

Cited by 89 publications

References 10 publications

Accurate nucleon-nucleon potential with charge-independence breaking

Accurate nucleon-nucleon potential with charge-independence breaking

Effective range function below threshold

Comparative study of three-nucleon potentials in nuclear matter

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About

n−nScattering Length from the Photon Spectra of the Reactionsπ−d→γnnandJ.C. Alder1, C. Joseph2, J.-F. Loude3 et al.

Cited by 89 publications

References 10 publications

Accurate nucleon-nucleon potential with charge-independence breaking

Accurate nucleon-nucleon potential with charge-independence breaking

Effective range function below threshold

Comparative study of three-nucleon potentials in nuclear matter

Contact Info

Product

Resources

About

n−nScattering Length from the Photon Spectra of the Reactionsπ−d→γnnand
J.C. Alder
¹
,
C. Joseph
²
,
J.-F. Loude
³

et al.