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Title: Threshold effects in multichannel coupling and spectroscopic factors in exotic nuclei

Abstract

In the threshold region, the cross section and the associated overlap integral obey the Wigner threshold law that results in the Wigner-cusp phenomenon. Due to flux conservation, a cusp anomaly in one channel manifests itself in other open channels, even if their respective thresholds appear at a different energy. The shape of a threshold cusp depends on the orbital angular momentum of a scattered particle; hence, studies of Wigner anomalies in weakly bound nuclei with several low-lying thresholds can provide valuable spectroscopic information. In this work, we investigate the threshold behavior of spectroscopic factors in neutron-rich drip-line nuclei using the Gamow shell model, which takes into account many-body correlations and the continuum effects. The presence of threshold anomalies is demonstrated and the implications for spectroscopic factors are discussed.

Authors:
 [1];  [2];  [2];  [1];  [2];  [3];  [4]
  1. Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996 (United States)
  2. (United States)
  3. (Poland)
  4. Grand Accelerateur National d'Ions Lourds (GANIL), CEA/DSM-CNRS/IN2P3, BP 55027, F-14076 Caen Cedex (France)
Publication Date:
OSTI Identifier:
20995105
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.75.031301; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; COUPLING; CROSS SECTIONS; CUSPED GEOMETRIES; MANY-BODY PROBLEM; NEUTRONS; NUCLEI; ORBITAL ANGULAR MOMENTUM; SHELL MODELS; SPECTROSCOPIC FACTORS

Citation Formats

Michel, N., Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, Joint Institute for Heavy Ion Research, Oak Ridge, Tennessee 37831, Nazarewicz, W., Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00-681 Warsaw, and Ploszajczak, M. Threshold effects in multichannel coupling and spectroscopic factors in exotic nuclei. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.031301.
Michel, N., Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, Joint Institute for Heavy Ion Research, Oak Ridge, Tennessee 37831, Nazarewicz, W., Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00-681 Warsaw, & Ploszajczak, M. Threshold effects in multichannel coupling and spectroscopic factors in exotic nuclei. United States. doi:10.1103/PHYSREVC.75.031301.
Michel, N., Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, Joint Institute for Heavy Ion Research, Oak Ridge, Tennessee 37831, Nazarewicz, W., Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00-681 Warsaw, and Ploszajczak, M. Thu . "Threshold effects in multichannel coupling and spectroscopic factors in exotic nuclei". United States. doi:10.1103/PHYSREVC.75.031301.
@article{osti_20995105,
title = {Threshold effects in multichannel coupling and spectroscopic factors in exotic nuclei},
author = {Michel, N. and Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831 and Joint Institute for Heavy Ion Research, Oak Ridge, Tennessee 37831 and Nazarewicz, W. and Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831 and Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00-681 Warsaw and Ploszajczak, M.},
abstractNote = {In the threshold region, the cross section and the associated overlap integral obey the Wigner threshold law that results in the Wigner-cusp phenomenon. Due to flux conservation, a cusp anomaly in one channel manifests itself in other open channels, even if their respective thresholds appear at a different energy. The shape of a threshold cusp depends on the orbital angular momentum of a scattered particle; hence, studies of Wigner anomalies in weakly bound nuclei with several low-lying thresholds can provide valuable spectroscopic information. In this work, we investigate the threshold behavior of spectroscopic factors in neutron-rich drip-line nuclei using the Gamow shell model, which takes into account many-body correlations and the continuum effects. The presence of threshold anomalies is demonstrated and the implications for spectroscopic factors are discussed.},
doi = {10.1103/PHYSREVC.75.031301},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}