Elsevier

Nuclear Physics A

Volume 216, Issue 1, 26 November 1973, Pages 199-216
Nuclear Physics A

Quasimolecular state and Regge poles

https://doi.org/10.1016/0375-9474(73)90528-9Get rights and content

Abstract

The quasimolecular or shape resonance in heavy ion physics occurs in peripheral partial waves. A broad peripheral resonance is conveniently described in terms of a Regge pole which provides an economical description of the angular asymmetry of a broad peripheral resonance which can decay before the ions rotate about the interaction region. The quasimolecular resonance can be considered as a decaying surface wave propagating around the region of strong absorption into the shadow where it provides the dominant contribution to the wave function. The rate of decay in angle of the surface wave as well as its period of oscillation are simply related to the Regge pole angular momentum. The same analysis applies to the scattering angular distribution at back angles and explains both the characteristic oscillation at back angles and the exponential decrease toward back angles. Numerical calculations of both the surface wave and the scattering angular distribution are provided to corroborate the theoretical discussion. We offer an explanation in terms of a Regge pole of the McCarthy peak in the wave function in the shadow of an absorptive optical potential.

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    One possible explanation is that when two reacting nuclei first interact in the peripheral region, they begin to rotate about each other, and it is only after rotating by a finite angle that they make a transition into the final channel. This so-called orbiting phenomenon was extensively studied over many years by investigating mainly reactions with stable nuclei [1–10]. It is now well established that neutron-rich light nuclei have a larger extension of the matter density radius than stable nuclei.

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Work supported by the Bundesministerium für Bildung und Wissenschaft.

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