The asymptotic S-state amplitude and the root mean square radius of the deuteron

McTavish, J P

doi:10.1088/0305-4616/8/7/008

Cited by 11 publications

(13 citation statements)

References 15 publications

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“…(5) and given in column 1. To calculate r ch from the matter radii r m [1,9,20,21,22] we use r p = 0.862(12) fm, the neutron charge radius of the respective references, the standard Darwin-Foldy contribution, r 2 DF = 0.0331 fm 2 , the spin-orbit correction for the Paris potential r 2 SO = −0.0015 fm 2 , and the non-nucleonic contribution r 2 [2] of column 3. In the last two rows the deuteron charge and matter radii are calculated from the experimental charge radius difference (r 2 ch − r 2 p ) exp = 3.795(19) fm 2 [14] and (r 2 ch − r 2 p ) exp = 3.807(26) fm 2 [23] as determined by the isotope shift of the 1s − 2s transition in atomic hydrogen.…”

Section: Experimental Data and Their Analysesmentioning

confidence: 99%

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: Experimental Data and Their Analysesmentioning

confidence: 99%

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

1996

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“…Simon et al [3] used their measurements of R(q ) and obtained rD = 1.9625+0.0047 fm (ro = l.9560 +0.0068 fm), by fitting their data with polynomials of order three (four). Experimental data have been reanalyzed by Allen et al [4], McTavish [5], and Klarsfeld et al [6]. For the radial deuteron wave functions of a given potential model and their family of the wave functions produced by unitary transformations, Allen et al.…”

Section: Introductionmentioning

confidence: 99%

“…McTavish [5] used the experimental data of Berard et al [1] for the ratio R f q ) to obtain the "experimental" values of the charge form factor Cz(q ). He modified Wilson's expansion [9] of Cz(q ' and used it in a oneparameter St to obtain rD =1.956+0.005 fm.…”

Section: Introductionmentioning

confidence: 99%

“…For example, their extracted value rD = 1.952+0.004 fm may be changed to be rD =1.954+0.003 fm if the Reid soft-core potential [12] is used in the analysis [4] or to be rD =1.958+0.003 fm if the value extracted for rD is to be consistent with the experimental value of Az instead of that of g [5]. Also, in the absence of such a potential, Klarsfeld et al [6] used, in their "asymptotic method" to obtain rD, a parametrization of the radial deuteron wave functions consisting of a mixture of terms like those of the parametrizations of the radial wave functions by Paris [10], Hulthen and Sugawara [13), and Adler et al [14].…”

Section: Introductionmentioning

confidence: 99%

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Extracting a value of the deuteron radius by reanalysis of the experimental data

et al. 1992

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A new value, rD=1.9546+0.0021 fm, for the rms radius of the deuteron has been extracted by reanalyzing the experimental data for the ratio R (q ) of the deuteron to proton electric form factors and for the slope of the neutron electric form factor GE"(q') at q'=0. The short-range structures in the radia1 deuteron wave functions found for a certain class of potentials (e.g. , Kermode et al. and potential models presented here) cause an increase in the model values of the deuteron charge form factor CE{q ), but have no special features in the variation of Cz(q ) with q . A new method for calculating CE(q ) accurately is presented.PACS number(s): 21.30. +y, 13.75.Cs, 21.45.+v, 21.10.Ft

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“…Some of these analyses, and also the analysis of this paper, involve fitting the "experimental" electric charge form factor CE(q ) in the low-q region by a polynomial of a certain order in q [5]; CE(q )=1+a, q +a2q + where r D = 6a, orequally wellby using a continued-fraction method [6]. We recall that the matter radial moment (r ") is the expectation value of (r/2) ":…”

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Radius and radial moments of the deuteron

Mustafa

1993

Phys. Rev. C

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New values are extracted for the deuteron rms matter radius rD =1.9547+0.0019 fm and the matter radial deuteron moments ( r ) = 54. 2+0. 1 fm and ( r6) = 1828+1 fm6 by analyzing the experimental ratio of (e, d) to (e,p) scattering.PACS number(s): 21.45.+v, 21.10.Ft, 25.30.8f, 27.10.+h Qk= ( )k 2k (2k +1)! (2b) The "experimental" values of CE(q ) are obtained from the experimental data of Simon et al. [3] for the ratio R(q )=GzD(q )/Gz (q ) of deuteron to proton form factors by using CE(q )=R(q )(1+x)'~[ 1+GE"(q )/GE&(q )] and the relationof Isgur et al. [8], where Gz"(q ) is the neutron form factor, r = q /4m is the Darwin-Foldy correction, and m =938.2786/Ac=4. 57491 fm ' is the proton mass.The expansion of CE(q ) in powers of q may be written for the present purpose in the form n=N There is increasing interest in the literature [1 -7] in extracting the deuteron matter radius r D by analyzing results of elastic electron scattering experiments. Some of these analyses, and also the analysis of this paper, involve fitting the "experimental" electric charge form factor CE(q ) in the low-q region by a polynomial of a certain order in q [5]; CE(q )=1+a, q +a2q + where r D = 6a, orequally wellby using a continued-fraction method [6]. We recall that the matter radial moment (r ") is the expectation value of (r/2) ":The coefficients ak are related to the radial moments ( r ")thy correct asymptotic behavior, i.e. , fitting the recent experimental values of the asymptotic S-state amplitude As=0. 8838+0.0004 fm '~o f Stoks et al. [9] and the asymptotic D /S ratio g =0.0273+0.0005 of Borbely et al. [10]. The value g = 0.0273+0.0005 of Borbely et al. [10] is consistent, in particular, with our recent prediction g=0.02701+0.00019 [11]. The MHKZ potential fits too the experimental value of the deuteron quadrupole moment (Q = 0.2860+0.0015 fm [12] and Q =0.2859+0.0003 fm [13]). Unfortunately, the values listed in Table I of Ref. [7] for the free parameters of this potential are overtruncated; therefore, they are given here in Table I with a larger number of significant figures.The values assumed for m are m =2, 3, 4, and 5 and for X is X =70. The meson exchange current (MEC) contribution is taken into account by using the correction b, rD =0.0034+0.0003 fm of Kohno [14].To make the values of ak of Eqs. (1) and (5) more consistent with the values of Cz(q ) (and hence, more accurate results would have been obtained), the point Cz(0) = 1 given by the boundary condition is used as a constraint and the analytic asymptotic contribution e= f z(u +w )dr to the normalization factor [Jo"(u +to )dr] '~i s neglected by the numerical methods producing the deuteron waves u and w of the local potential MHKZ of Ref. [7]. Deuteron properties, in particular Az and q, will not change by neglecting e, except for rD, ' it negligibly changes from 1.96316 fm to 1.96256 fm. A small change in rD would not aftect the results of the analysis (as discussed in conjunction with Table III).The results of fitting the experimental data are listed in ...

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The asymptotic S-state amplitude and the root mean square radius of the deuteron

Cited by 11 publications

References 15 publications

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

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

Extracting a value of the deuteron radius by reanalysis of the experimental data

Radius and radial moments of the deuteron

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