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The role of pairing correlations for nucleon pairs with isospin $T=1$ and $T=0$ is investigated for nuclei in the mass region $12 \leq A \leq 42$. For that purpose the two-nucleon densities resulting from nuclear shell-model calculations in…

Nuclear Theory · Physics 2023-06-21 H. Müther , Praveen C. Srivastava

The binding energies of even-even and odd-odd N=Z nuclei are compared. After correcting for the symmetry energy we find that the lowest T=1 state in odd-odd N=Z nuclei is as bound as the ground state in the neighboring even-even nucleus,…

The deuteron is the simplest atomic nucleus made of two particles - a proton and a neutron. In this work, we study how their spins are quantum entangled with each other. We study two cases: when the deuteron is in a fixed projection of…

Nuclear Theory · Physics 2025-06-23 Ashutosh Singh , Ankit Kumar Das , Ankit Kumar , P. Arumugam

The structures of odd-odd $N=Z$ nuclei in the lower \emph{fp} shell have been investigated with a new isospin-nonconserving microscopical interaction. The interaction is derived from a high-precision charge-dependent Bonn nucleon-nucleon…

Nuclear Theory · Physics 2008-11-26 C. Qi , F. R. Xu

Pairing rotations and pairing vibrations are collective modes associated with a field, the pair field, which changes the number of particles by two. Consequently, they can be studied at profit with the help of two-particle transfer…

Nuclear Theory · Physics 2015-06-11 G. Potel , A. Idini , F. Barranco , E. Vigezzi , R. A. Broglia

The nature of the nuclear pairing condensates in heavy nuclei, specifically neutron-proton (spin-triplet), versus identical-particle (spin-singlet) pairing has been an active area of research for quite some time. In this work, we probe…

Nuclear Theory · Physics 2019-01-31 Ermal Rrapaj , A. O. Macchiavelli , Alexandros Gezerlis

Pairing energies for the addition of two neutrons on even-even nuclei with $ N=Z $ are studied. The $ Z $ dependence is attributed to the number and type of orbitals that are occupied in the valence shell-model space. Properties in the…

Nuclear Theory · Physics 2023-07-25 B. Alex Brown , Michio Honma , Ragnar Stroberg

Proton-neutron (p-n) interactions and its various aspects in $N\approx Z$ nuclei of $g_{9/2}$- and $f_{7/2}$ subshell are studied using a schematic model interaction with four force parameters proposed recently. It is shown that the model…

Nuclear Theory · Physics 2009-10-31 K. Kaneko , M. Hasegawa

Isomeric states in the nuclei along the rapid proton capture process path are studied by the projected shell model. Emphasis is given to two waiting point nuclei 68Se and 72Kr that are characterized by shape coexistence. Energy surface…

Nuclear Theory · Physics 2009-11-10 Yang Sun , Michael Wiescher , Ani Aprahamian , Jacob Fisker

Spin-isospin transitions in nuclei away from the valley of stability are essential for the description of astrophysically relevant weak interaction processes. While they remain mainly beyond the reach of experiment, theoretical modeling…

Nuclear Theory · Physics 2021-06-16 D. Vale , Y. F. Niu , N. Paar

Pairing correlations play an important role in a variety of nuclear phenomena. However, a quantitative understanding of proton--neutron $(pn)$ pairing, especially isoscalar $pn$ pairing $(S=1, T=0)$ remains elusive. To clarify the property…

Nuclear Theory · Physics 2024-05-31 K. Uzawa , N. Hinohara , T. Nakatsukasa

From the experimental data on odd-even staggering of masses, we have shown that variation of pairing as a function of neutron number plays an important role in many distinctive features like occurrence of new shell closures, shell erosion,…

Nuclear Theory · Physics 2012-04-24 M. Saha Sarkar , S. Sarkar

Effects of pairing with isospin $T=0$ and $T=1$ are systematically studied in a model, which is based on a realistic nucleon-nucleon interaction and allows to describe the transition from infinite nuclear matter to finite nuclei. Special…

Nuclear Theory · Physics 2019-03-27 Herbert Müther , Artur Polls

We explore, within the framework of an algebraic sp(4) shell model, discrete approximations to various derivatives of the energies of the lowest isovector-paired 0^+ states of atomic nuclei in the 40 <A < 100 mass range. The results show…

Nuclear Theory · Physics 2008-11-26 K. D. Sviratcheva , A. I. Georgieva , J. P. Draayer

A shell-model study of proton-neutron pairing in f - p shell nuclei using a parametrized hamiltonian that includes deformation and spin-orbit effects as well as isoscalar and isovector pairing is reported. By working in a shell-model…

Nuclear Theory · Physics 2015-05-18 Lei Yang , S. Pittel , B. Thakur , N. Sandulescu , A. Poves , Yu-Min Zhao

Coupled pairs of nuclear spins-1/2 support one singlet state and three triplet states. Transitions between the singlet state and one of the triplet states may be driven by an oscillating low-frequency magnetic field, in the presence of…

Quantum Physics · Physics 2021-10-27 Laurynas Dagys , Christian Bengs , Malcolm H. Levitt

Two-neutron transfer associated with the pair correlation in superfluid neutron-rich nuclei is studied with focus on low-lying $0^+$ states in Sn isotopes beyond the N=82 magic number. We describe microscopically the two-neutron addition…

Nuclear Theory · Physics 2015-05-28 Hirotaka Shimoyama , Masayuki Matsuo

The rotating nuclei represent one of most interesting subjects for theoretical and experimental studies. They open a new dimension of nuclear landscape, namely, spin direction. Contrary to the majority of nuclear systems, their properties…

Nuclear Theory · Physics 2016-04-27 A. V. Afanasjev

A simple model based on the group SO(5) suggests that both the like-particle and neutron-proton components of isovector pairing correlations in odd-A nuclei are Pauli blocked. The same effect emerges from Monte Carlo Shell-model…

Nuclear Theory · Physics 2009-10-31 Jonathan Engel , Karlheinz Langanke , Petr Vogel