Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-coherent character of isoscalar pairing probed with Gamow-Teller
  strength: New insight into $^{14}$C dating $\beta$ decay   We investigate the phase coherence of isoscalar pairs from the $B({\rm
GT};0^+_1\,T\!=\!1 \to 1^+_1\,T\!=\!0)$ values in two-particle configurations
of $A=6$, 18, and 42 nuclei and two-hole configurations of $A=14$ and 38 ones.
We find that these Gamow-Teller (GT) matrix elements are always constructive
and thus enlarged under isovector- and isoscalar-pairing Hamiltonians, whereas
the observed GT strengths are strongly hindered for the two-hole
configurations, including the famous $^{14}$C dating $\beta$ decay. This
indicates that the actual isoscalar pair, unlike the isovector pair, has no
definite phase coherence, which can work against forming isoscalar-pair
condensates.

34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg