New Measurement of the Charge Radius of the Neutron

Kopecky, S.; Riehs, P.; Harvey, J. A.; Hill, N.W.

doi:10.1103/physrevlett.74.2427

Cited by 135 publications

(123 citation statements)

References 29 publications

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“…The processes of Figs. 3(a) and 3(d) correspond to the conventional ones of a single-nucleon charge operator; the results are given in the first four rows; the experimental values r p = 0.862(12) fm [17] and r 2 n = −0.113(3) fm [18] are used. With the small quark core radius b = 0.5184 fm used here the experimental proton and neutron charge radii are not exactly reproduced by the underlying quark model; see however [38].…”

Section: The Deuteron As a Six-quark Systemmentioning

confidence: 99%

“…The atomic physics experiment [14] gives the radius difference (r 2 ch − r 2 p ) exp = 3.795(19) fm 2 ; the corresponding values for the charge and structure radii are obtained from Eq. (3) by using r p = 0.862(12) fm [17], r 2 n = −0.113(3) fm 2 [18] and r 2 DF = 0.0331 fm 2 .…”

Section: Experimental Data and Their Analysesmentioning

confidence: 99%

“…[23] includes higher order QED effects. We calculate the corresponding deuteron matter and charge radii using the presently accepted values for the nucleonic radii, i.e., r p = 0.862(12) fm [17] and r 2 n = −0.113(3) fm 2 [18], r 2 DF = 0.0331 fm 2 , r 2 SO = −0.0015 fm 2 , and the two-nucleon contribution r 2 [2] = 0.0208 fm 2 of this paper. The latter value is an average of our results for ∆r M EC for the Paris and the four Bonn potentials in Table 3.…”

Section: Experimental Data and Their Analysesmentioning

confidence: 99%

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Meson and Quark Degrees of Freedom and the Radius of the Deuteron

1996

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The existing experimental data for the deuteron charge radius are discussed. The data of elastic electron scattering are inconsistent with the value obtained in a recent atomic physics experiment. Theoretical predictions based on a nonrelativistic description of the deuteron with realistic nucleon-nucleon potentials and with a rather complete set of meson-exchange contributions to the charge operator are presented. Corrections arising from the quark-gluon substructure of the nucleon are explored in a nonrelativistic quark model; the quark-gluon corrections, not accounted for by meson exchange, are small. Our prediction for the deuteron charge radius favors the value of a recent atomic physics experiment.

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Section: The Deuteron As a Six-quark Systemmentioning

confidence: 99%

Section: Experimental Data and Their Analysesmentioning

confidence: 99%

Section: Experimental Data and Their Analysesmentioning

confidence: 99%

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Meson and Quark Degrees of Freedom and the Radius of the Deuteron

1996

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“…Our 4 He binding energy and point-proton root-mean-square (rms) radii results are summarized in Table I. We note that the point-proton rms radius is related to the proton charge rms radius as [2] [26], the charge radius of the proton and R 2 n = −0.120(5) fm 2 [27], the meansquare-charge radius of the neutron. We observe that the CD-Bonn 2000 underbinds 4 He by about 2 MeV, but describes the point-proton rms radius in agreement with experiment.…”

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confidence: 99%

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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“…The quantity R 2 is well-measured [11] as R 2 = −0.113 ± 0.005 fm 2 . The Galster parameterization [12] has been used to represent the data for Q 2 < 0.7 GeV 2 .…”

Section: Neutron Charge Form Factormentioning

confidence: 96%