Electron Scattering from Nonspherical Nuclei

Downs, B. W.; Ravenhall, D. G.; Yennie, D. R.

doi:10.1103/physrev.106.1285

Cited by 49 publications

(9 citation statements)

References 7 publications

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“…In cases where the scattering from nuclear levels cannot be resolved from the elastic scattering, some information about the levels may still be obtained. An example of this occurs for Ta TM , where an analysis of experiments by Hahn et al (101,128) has been made by Downs et al (126,127) with modified Born-approximation method. In this way it has been possible to estimate the distortion parameter in Ta 18~ which is found to be in good agreement with the spectroscopic and Coulomb-excitatlon values.…”

Section: °30°40°50°60°?0" 80°90°wmentioning

confidence: 99%

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Nuclear and Nucleon Scattering of High-Energy Electrons

Hofstadter¹

1957

Annu. Rev. Nucl. Sci.

577

110

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We shall write the perturbing interaction in the form z g~ = ~V-e~~-~ It-R~I 14. which is the usual Coulomb energy of interaction of two point charges. The matrix element H theu becomes f 1~1 1 The electron's incident and final wave functions were inserted into Eq. as normalized plane waves 1 and thb step is characteristic of the Born approximatbn. Now introduce the momentum transfer vector x, o[ Figure 1, and H becomes =~ *O0~ [~ZR~lexp~.rd~d~R~ 17. When integrating over the electron's coordlnates, choose polar coordinates for which the Z axis lies along the direction s. Furthermore, it is convenient to use a simple shielded potential, V~, eV,(r-R~) = cxp 18. in place of Eq. 1~, to take care of shielding by the atomic electron cloud and to make the integration converge. In Eq. 18 a is a parameter of atomic si~c and is not critical, nor is the shape of the shielding function critical. Thus it is merely necessary to have a>>R, where R is a nuclear dimension. Also place and substitute Eq. 1$ and 19 into the part of the integral in Eq. 17 having to do with electron coordinates. Thus the integration may be carried out over the electron's coordinates for each separate proton as an origin, and let polar coordinates p', ~', @' be used where ~' is measured relative to s. Then ¢(R) becomes z exp-p [ p'~dp' gn 0'~'~' (R) = e ~ exp is" R~e xp isp' cos ~' ~~ exp (e~p-~'/~) (~')g~' ~ .~ e~ ~. ~ +~/= ~ ~ exp is" R~2 1. s~ w ww.annualreviews.org/aronline Annual Reviews

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Section: °30°40°50°60°?0" 80°90°wmentioning

confidence: 99%

“…A simple use of a polarized target has been suggested by Downs et al (127). They point out that the scattered waves from the spherically symmetric part of the charge distribution can interfere with those arising from the quadrupole distortion.…”

Section: °30°40°50°60°?0" 80°90°wmentioning

confidence: 99%

Nuclear and Nucleon Scattering of High-Energy Electrons

Hofstadter¹

1957

Annu. Rev. Nucl. Sci.

577

110

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“…where g(j,j)={-y-i w,j)\ (3. 17) and C 2 and D 2 are any irreducible tensor operators of rank two. As noted earlier, the form of S given in Eqs.…”

Section: A Classical Scatteringmentioning

confidence: 99%

“…16 Schifl 4 has discussed the case of unaligned nuclei. The distortedwave approximation was made by Downs et al 17 for a randomly oriented nucleus and by Wright and Onley 18 for an aligned nucleus, in both instances assuming a nonzero surface thickness.…”

Section: A Comparison Of Three Approximation Schemesmentioning

confidence: 99%

Electron Scattering from an Aligned Deformed Nucleus

Greenstein

1966

Phys. Rev.

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The problem of scattering high-energy electrons from a deformed nucleus which has been aligned in a magnetic field is considered from the point of view of the Schiff approximation for high-energy potential scattering. Integrals for the scattering amplitude are evaluated in the asymptotic limit of large j3 ((3=QR) assuming a model for the charge-density distribution which is equivalent to a uniformly charged ellipsoid of revolution. It is found that terms bilinear in the quadrupole strength must be retained. The formalism is extended to take account of nuclear spin-state transitions. Low-lying rotational levels are summed over, using the Bohr-Mottelson model in the strong-coupling limit. Application is made to the case of the holmium nucleus.

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“…Теоретическое рассмотрение влияния квадрупольной формы ядра на рассеяние было дано Шиффом 47 , а также Даунсом, Равенхолмом и Йен-ни 61 для ядер вблизи тантала. Дальнейшее обсуждение этих работ будет произведено после рассмотрения экспериментальных данных.…”

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Рассеяние Электронов И Структура Ядер

Hofstadter¹

1957

Успехи физических наук

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Electron Scattering from Nonspherical Nuclei

Cited by 49 publications

References 7 publications

Nuclear and Nucleon Scattering of High-Energy Electrons

Nuclear and Nucleon Scattering of High-Energy Electrons

Electron Scattering from an Aligned Deformed Nucleus

Рассеяние Электронов И Структура Ядер

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