Elastic e-d Scattering Data and the Deuteron Wave Function Page: 4 of 16
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give significantly different form factors in this q-range. The reference and truncated wave
functions, respectively, over- and under-predict the observed A(q) at q > 6 fm-1; both
under-predict B(q K 7 fm-1), and fail to reproduce the data point for T20 at q ~ 6.8 fm-1.
The available data on A(q) at larger values of q can be used to test the deuteron wave
function at p > 4 mf; however, improved theoretical understanding and more accurate data
on B(q > 6 fmr), and new data on Tz0(q > 6 fi-1) are needed.
II. DEUTERON WAVE FUNCTION
The deuteron rest-frame wave function is obtained by solving the momentum-space
Schrddinger equation with the relativistic Hamiltonian [6,7]
H =2 p2+rn2v+ (2.1)
where v4 consists of a short-range part v4 parameterized as in the Argonne v18 potential [3],
and of a relativistic one-pion-exchange potential (OPEP) given by
v r(p',p) = N frk) - k [ -2k k
m m + k2 E' E
+ p x (E' - E) i2 - Pi - r2 - rI r 72 (2.2)
E' +rm E + m
Here m is the nucleon mass, fANN is the pion-nucleon coupling constant (f$NN/4r=O0.75),
pi and pi are the initial and final momenta of particle 1 in the center-of-mass frame, k=p'i -
pi is the momentum transfer, E= p1 + m2, and E'= P'2 + m'2. The monopole form factor:
f -A2 - mn
(k). (2.3)
Aj2
with A,=1.2 GeV/c is used in this work.
The p-dependent term characterizes possible off-energy-shell extensions of OPEP, and
leads to strong non-localities in configuration space. In particular, the value p=-1 (p=1)
is predicted by pseudoscalar (pseudovector) coupling of pions to nucleons, while p=0 cor-
responds to the so-called "minimal non-locality" choice [8]. It has been known for over two4
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Schiavilla, R. & Pandharipande, V.R. Elastic e-d Scattering Data and the Deuteron Wave Function, article, June 1, 2002; Newport News, Virginia. (https://digital.library.unt.edu/ark:/67531/metadc715447/m1/4/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.