Finite range approximations in direct transfer reactions

doi:10.1016/0375-9474(73)90568-X

Nuclear Physics A

Volume 212, Issue 2, 24 September 1973, Pages 341-364

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Abstract

Finite range effects in direct transfer reactions are discussed using an irreducible tensor expansion of the translation operator. The local energy approximation is generalized to non-zero orbital angular momentum in the projectile and the expansion coefficients are given as integrals of the reaction form factor radial dependence. This enables a more accurate determination of the finite range parameter β. An expansion of the transition amplitude appropriate to heavy ion transfer is obtained. The form factor of each term is given analytically for bound state wave functions expressed as a sum of spherical Hankel functions. The inclusion of recoil effects is thereby greatly simplified. Using the approximate treatment of Dodd and Greider the calculation retains the structure of a DWBA zero range code. A strongly inhibitory selection rule for the orbital angular momentum transfer in the reaction due to recoil is presented and dis cussed.

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Finite range approximations in direct transfer reactions

Abstract

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

J. Math. Phys.

Phys. Rev.

Phys. Rev.

Phys. Rev.

Nucl. Phys.

Phys. Lett.

Phys. Lett.

Phys. Rev.

Phys. Rev. Lett.

Phys. Rev. Lett.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.