Deuteron quadrupole moment and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow /><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">S</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml

Mustafa, Mustafa M.

doi:10.1103/physrevc.47.473

Cited by 14 publications

(9 citation statements)

References 39 publications

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“…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]).…”

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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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confidence: 89%

Radius and radial moments of the deuteron

Mustafa

1993

Phys. Rev. C

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“…In Refs. [23,43], a similar kinked feature was observed in the correlation function of neutral pions with nonperiodic implementations of a uniform electric field with the choice of a time-dependent gauge potential.…”

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The path from finite to infinite volume: Hadronic observables from lattice QCD

Davoudi¹

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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Standard Model determinations of properties of strongly interacting systems of hadrons have become possible with the powerful method of lattice quantum chromodynamics (LQCD), a method with growing applicability and reliability. While growth in computational power and innovations in algorithmic and computational approaches have been essential in advancing the state of the field, conceptual and formal developments have played a crucial role in turning the output of LQCD computations to phenomenologically valuable results. From the invention of finitevolume technology to access physical observables by Martin Lüscher over three decades ago to date, this field has grown in scope and complexity, enabling studies of scattering amplitudes and reaction rates, as well as spectroscopy of excited states of quantum chromodynamics (QCD) and resonances. Further, LQCD studies are augmented with the inclusion of quantum electrodynamics (QED), and subtleties related to the finite volume of systems in presence of QED have been understood and largely controlled. In this talk, I focus on selected developments to give a taste of the status of the field concerning the mapping between the finite and infinite-volume physics and its state-of-the-art applications.

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“…It was demonstrated that the deuteron quadrupole moment Q is approximately related to the asymptotic D/S ratio of the deuteron [4,5]. The theoretical results of Q and η almost lie on a straight line for the different most NN potentials.…”

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confidence: 90%