1997
DOI: 10.1016/s0370-2693(96)01440-2
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Relativistic calculation of structure functions b1,2(x) of the deuteron

Abstract: The structure functions b D 1,2 (x) of the deuteron are studied within covariant approach. It is shown that usual nonrelativistic convolution model result in incorrect behavior of this structure functions at small x and violates the exact sum rules. Realistic calculations are carried out with the Bethe-Salpeter amplitude of the deuteron and compared with the nonrelativistic results.

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Cited by 16 publications
(14 citation statements)
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References 23 publications
(50 reference statements)
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“…It should be mentioned that the magnitude of b 1 at x < 0.1 exceeds estimates from previous model calculations which are applicable at moderate and large x, by several orders of magnitude (see e.g. [259,260]). Unfortunately, the effect of b 1 in the observable asymmetry, which is proportional to b 1 /F d 1 , is only of the order of 10 −2 , as already mentioned.…”
Section: The Tensor Structure Function B 1 At Small Xmentioning
confidence: 59%
“…It should be mentioned that the magnitude of b 1 at x < 0.1 exceeds estimates from previous model calculations which are applicable at moderate and large x, by several orders of magnitude (see e.g. [259,260]). Unfortunately, the effect of b 1 in the observable asymmetry, which is proportional to b 1 /F d 1 , is only of the order of 10 −2 , as already mentioned.…”
Section: The Tensor Structure Function B 1 At Small Xmentioning
confidence: 59%
“…For larger values of x the computed results are not significantly different from 0. This result combined with the very small large x results for nucleonic [1,5,6] and double-scattering contributions [8][9][10], makes the case that an observation of a value of b 1 significantly different than zero for values of x greater than about 0.3 would represent a discovery of some sort of exotic nuclear physics. Our model Eq.…”
Section: Resultsmentioning
confidence: 98%
“…Given this violation of the sum rule of Close & Kumano, it is interesting to see if the extant calculations of other mechanisms are consistent with the sum rule. Consider first the nucleonic contribution [1,5,6]. In particular we examine Eq.…”
Section: Resultsmentioning
confidence: 99%
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