Abstract:
In the investigations of the level structure of
A \approx 90
nuclei, whose numbers of protons and neutrons are close to the
Z = 40
semimagic number and
N = 50
magic number, have become a hot spot in nuclear physics. The aim of this work is to further probe the characteristics of single-particle excitation, core breaking, high-
j
intruder states and isomeric states in the
A\approx 90
mass region based on the existing experimental results. Investigations show that the low energy levels of the odd-
A
nuclei originate from their neighboring even-even nuclei coupled to a valence nucleon. The systematics of the
2_1^+
excitation energies and the values of
\rmE_4_1^+
/
\rmE_2_1^+
indicate that the
N = 56
subshell closure may appear at
Z = 40
(41) and disappear for
Z > 42
nuclei. Furthermore, in this mass region, the strong
\rmE2
transitions at low or medium spins are interpreted as the recoupling of the pure protons in (
f_5/2^
,
p_3/2^
,
p_1/2^
,
g_9/2^
) orbits, and the strong
M1
transitions are explicated by moving proton from the (
f_5/2^
,
p_3/2^
,
p_1/2^
) orbits to the
g_9/2^
orbit, coupling to a neutron excitation from the
g_9/2^
orbit across
N = 50
closed shell into the
d_5/2^
orbit. The isomeric states in odd-
A
nuclei with
N = 50 
(51) can be interpreted as a spin-aligned configuration in which a single neutron or proton couples with a fully aligned proton pair in the
\pi g_9/2^
orbit.