Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thomas-Ehrman effect in a three-body model: $^{16}$Ne case   The dynamic mechanism of the Thomas-Ehrman shift is studied in three-cluster
systems by example of $^{16}$Ne and $^{16}$C isobaric mirror partners. We
predict configuration mixings for $0^+$ and $2^+$ states in $^{16}$Ne and
$^{16}$C. Large isospin symmetry breaking on the level of wave function
component weights is demonstrated for these states and discussed as three-body
mechanism of Thomas-Ehrman shift. It is shown that the description of the
Coulomb displacement energies requires a consistency among three parameters:
the $^{16}$Ne decay energy $E_T$, the $^{15}$F ground state energy $E_r$, and
the configuration mixing parameters for the $^{16}$Ne/$^{16}$C $0^+$ and $2^+$
states. Basing on this analysis we infer the $^{15}$F $1/2^+$ ground state
energy to be $E_r=1.39-1.42$ MeV.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an