Gamow and $R$-matrix approach to proton emitting nuclei

Gamow and $R$ -matrix approach to proton emitting nuclei

A. T. Kruppa and W. Nazarewicz

Phys. Rev. C 69, 054311 – Published 20 May 2004

Abstract

Proton emission from deformed nuclei is described within the nonadiabatic weak coupling model which takes into account the coupling to $γ$ vibrations around the axially symmetric shape. The coupled equations are derived within the Gamow state formalism. A new method, based on the combination of the $R$ -matrix theory and the oscillator expansion technique, is introduced that allows for a substantial increase of the number of coupled channels. As an example, we study the deformed proton emitter ${}^{141}{Ho}$ .

Received 16 February 2004

DOI:https://doi.org/10.1103/PhysRevC.69.054311

Authors & Affiliations

A. T. Kruppa^*

Institute of Nuclear Research, Bem tér 18∕c, 4026 Debrecen, Hungary and Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA

W. Nazarewicz^†

Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA, Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, USA, and Institute of Theoretical Physics, Warsaw University, Ulnicka Hoża 69, PL-00681 Warsaw, Poland

^*Electronic address: atk@chaos.atomki.hu
^†Electronic address: witek@mail.ornl.gov

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Issue

Vol. 69, Iss. 5 — May 2004

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Physical Review C

covering nuclear physics