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.Comment: 7 pages, 3 figures, 1 tabl

Fallon, P.

Macchiavelli, A. O.

Van Isacker, P.

Zerguine, S.

English

arXiv

7 pages, 3 figures, 1 table, Accepted for publication in Phys. Rev. CInternational audienceIt 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 solutionof the isoscalar-pairing limit in $jj$ coupling

van Isacker, P.

Macchiavelli, A.O.

HAL: Hyper Article en Ligne

Properties of isoscalar-pair condensates

HAL-CEA

HAL-IN2P3

P. Van Isacker

A. O. Macchiavelli

P. Fallon

S. Zerguine

Crossref

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

Van Isacker, P

Macchiavelli, AO

Fallon, P

Zerguine, S

eScholarship - University of California

https://in2p3.hal.science/in2p3-01348009v1/document