Faithin Omaha eBook Collection

Download or read book New Recoil Effect in Nucleon Transfer Reactions Between Heavy Ions written by and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few years it has become clear that the effect of the shifting centers of mass (recoil effect) have to be properly incorporated into the theory of single nucleon transfer between nuclei, especially at higher energies. A re-examination of the present theory reveals, however, that there remains a serious problem, which is associated with the so-called spurious center of mass motion in nuclear structure models. In principle the present calculations that purport to treat recoil exactly, nonetheless ought to be corrected for the above defect in the nuclear wave functions that they employ. An exact resolution of the long outstanding problem of spurious center of mass motion in nuclear models has not been obtained, but an approximate procedure for handling the correction to reaction calculations arising from this source has been formulated. The correction has two components. There is a scalar one which corresponds merely to a scaling of the radial coordinate and applies to all reactions. There is also a vector correction which can be cast into a form in which a particle picked up or removed from a definite shell model state appears to occupy a distribution of states having the same parity but differing in angular momentum. This component of the correction applies only to certain reactions. Because of the dispersion in the apparent angular momentum of the transferred nucleon, the reaction can proceed through the transfer of larger units of angular momentum than the normal recoil calculations allow, and the correction therefore is expected to grow with increasing bombarding energy. The scheme developed for handling this effect, which might be referred to as bound state recoil to distinguish it from the recoil effect that the current theories focus on, is presented together with preliminary estimates of its importance.