Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-tensor decomposition of nuclear transition matrix elements for
  neutrinoless double-$\beta $ decay of $^{76}$Ge and $^{82}$Se nuclei within
  PHFB approach   Employing the PHFB model, nuclear transition matrix elements $M^{\left(
K\right) }$ for the neutrinoless double-$\beta^{-} $ decay of $\ ^{76}$Ge and
$^{82}$Se isotopes are calculated within mechanisms involving light as well as
heavy Majorana neutrinos, and classical Majorons by considering the spin-tensor
decomposition of realistic KUO and empirical JUN45 effective two-body
interaction. It is noticed that the effects due to the SRC on NTMEs $M^{\left(
0\nu \right) }$ and $M^{\left( 0N\right) }$ due to the exchange of light and
heavy Majorana neutrinos, respectively, is maximally incorporated by the
central part of the effective two-body interaction, which varies by a small
amount with the inclusion of spin-orbit and tensor components. The maximum
uncertainty in the average NTMEs $\overline{M}^{(0\nu)}$ and
$\overline{M}^{(0N)}$ turns out to be about 10\% and 37\%, respectively.

30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th