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Title: Properties of isoscalar-pair condensates

Abstract

In this work, it is pointed out that the ground state of $n$ neutrons and n protons in a single-$j$ shell, interacting through an isoscalar ($T=0$) pairing force, is not paired, $J=0$, but rather spin aligned, $J=n$. This observation is explained in the context of a model of isoscalar $P(J=1)$ pairs, which is mapped onto a system of $p$ bosons, leading to an approximate analytic solution of the isoscalar-pairing limit in $jj$ coupling.

Authors:
 [1];  [2];  [2];  [3]
  1. Grand Accelerateur National d'Ions Lourds, CEA/DRF-CNRS/IN2P3, Caen (France)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Nuclear Science Division
  3. University of Batna (Algeria). Department of Physics, PRIMALAB Laboratory
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1423603
Alternate Identifier(s):
OSTI ID: 1297276
Grant/Contract Number:  
AC02-05CH11231; FG02-10ER41700
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 94; Journal Issue: 2; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Van Isacker, P., Macchiavelli, A. O., Fallon, P., and Zerguine, S. Properties of isoscalar-pair condensates. United States: N. p., 2016. Web. https://doi.org/10.1103/PhysRevC.94.024324.
Van Isacker, P., Macchiavelli, A. O., Fallon, P., & Zerguine, S. Properties of isoscalar-pair condensates. United States. https://doi.org/10.1103/PhysRevC.94.024324
Van Isacker, P., Macchiavelli, A. O., Fallon, P., and Zerguine, S. Wed . "Properties of isoscalar-pair condensates". United States. https://doi.org/10.1103/PhysRevC.94.024324. https://www.osti.gov/servlets/purl/1423603.
@article{osti_1423603,
title = {Properties of isoscalar-pair condensates},
author = {Van Isacker, P. and Macchiavelli, A. O. and Fallon, P. and Zerguine, S.},
abstractNote = {In this work, it is pointed out that the ground state of $n$ neutrons and n protons in a single-$j$ shell, interacting through an isoscalar ($T=0$) pairing force, is not paired, $J=0$, but rather spin aligned, $J=n$. This observation is explained in the context of a model of isoscalar $P(J=1)$ pairs, which is mapped onto a system of $p$ bosons, leading to an approximate analytic solution of the isoscalar-pairing limit in $jj$ coupling.},
doi = {10.1103/PhysRevC.94.024324},
journal = {Physical Review C},
number = 2,
volume = 94,
place = {United States},
year = {2016},
month = {8}
}

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