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Related papers: Interrelationship of Isospin and Angular Momentum

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The energy of a free gas of neutrons and protons is well known to be approximately isospin parabolic with a negligibly small quartic term of only $0.45$ MeV at the saturation density of nuclear matter $\rho_0=0.16/\rm{fm}^3$. Using an…

Nuclear Theory · Physics 2015-07-08 Bao-Jun Cai , Bao-An Li

We calculate the density-dependent spin-isospin asymmetry energy $J(k_f)$ of nuclear matter in the three-loop approximation of chiral perturbation theory. The interaction contributions to $J(k_f)$ originate from one-pion exchange, iterated…

Nuclear Theory · Physics 2009-11-11 N. Kaiser

Transition metal compounds with the $(t_{2g})^4$ electronic configuration are expected to be nonmagnetic atomic singlets both in the weakly interacting regime due to spin-orbit coupling, as well as in the Coulomb dominated regime with…

Strongly Correlated Electrons · Physics 2017-01-16 Christopher Svoboda , Mohit Randeria , Nandini Trivedi

We present a model of equal spin $s_1$ dimer single molecule magnets. The spins within each dimer interact via the Heisenberg and the most general set of four quadratic anisotropic spin interactions with respective strengths $J$ and…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dmitri V. Efremov , Richard A. Klemm

We calculate the static and dynamic properties of single crystal, single molecule magnets consisting of equal spin $S=1/2$ or 5/2 dimers. The spins in each dimer interact with each other via the Heisenberg exchange interaction and with the…

Statistical Mechanics · Physics 2009-11-07 Dmitri V. Efremov , Richard A. Klemm

Background: Effective interactions for elastic nucleon-nucleus scattering from first principles require the use of the same nucleon-nucleon interaction in the structure and reaction calculations, as well as a consistent treatment of the…

Nuclear Theory · Physics 2021-05-26 R. B. Baker , M. Burrows , Ch. Elster , K. D. Launey , P. Maris , G. Popa , S. P. Weppner

A review is given of attempts to describe nuclear properties in terms of neutron--proton pairs that are subsequently replaced by bosons. Some of the standard approaches with low-spin pairs are recalled but the emphasis is on a recently…

Nuclear Theory · Physics 2015-06-17 P. Van Isacker

The properties of isospin-asymmetric nuclear matter have been investigated in the framework of the extended Brueckner-Hartree-Fock approximation at zero temperature. Self-consistent calculations using the Argonne $V_{14}$ interaction are…

Nuclear Theory · Physics 2009-11-07 W. Zuo , I. Bombaci , U. Lombardo

A new version of the separable kernel of the nucleon-nucleon interaction in the Bethe-Salpeter approach is presented. The phase shifts are fitted to recent experimental data for singlet and uncoupled triplet partial waves of the…

Nuclear Theory · Physics 2008-11-26 S. G. Bondarenko , V. V. Burov , W-Y. Pauchy Hwang , E. P. Rogochaya

A recent calculation of the nuclear energy density functional from chiral two- and three-nucleon forces is extended to the isovector terms pertaining to different proton and neutron densities. An improved density-matrix expansion is adapted…

Nuclear Theory · Physics 2015-06-04 N. Kaiser

Eigenvalues of eigenstates in jn configurations (n identical nucle- ons in the j -orbit) are functions of two-body energies. In some cases they are linear combinations of two-body energies whose coe+/-cients are independent of the…

Nuclear Theory · Physics 2015-05-18 Igal Talmi

Collisions between electrically charged particles and neutral atoms are central for understanding the dynamics of neutral gases and plasmas in a variety of physical situaziones of terrestrial and astronomical interest. Specifically,…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 D. Vrinceanu , R. Onofrio , H. R. Sadeghpour

A program for computing pure angular momentum coefficients in relativistic atomic structure for any scalar one- and two-particle operator is presented. The program, written in Fortran 90/95 and based on techniques of second quantization,…

Atomic Physics · Physics 2009-11-10 G. Gaigalas , S. Fritzsche , I. P. Grant

We study four spins on a ring coupled through competing Heisenberg interactions between nearest neighbors, $J$, and next-nearest neighbors, $J_2\equiv\alpha J>0$. The spectrum is obtained in a simple way by using the rules for addition of 4…

Quantum Physics · Physics 2025-11-04 Raimundo R. dos Santos , Lucas Alves Oliveira , Natanael C. Costa

The neutron-neutron and proton-proton pairing correlations have long been recognised to be the dominant many-body correlation beyond the nuclear mean field since the introduction of pairing mechanism by Bohr, Mottelson and Pines nearly 60…

Nuclear Theory · Physics 2016-03-28 Chong Qi , R. Wyss

Single particle spin-orbit interaction energy problem in nuclear shell structure is solved through negative harmonic oscillator in the self-similar-structure shell model (SSM) [4] and considering quarks' contributions on single particle…

Nuclear Theory · Physics 2012-03-01 Xiaobin Wang , Zhengda Wang , Xiaochun Wang , Xiaodong Zhang

For arbitrary Ising-like models of any dimension and Hamiltonians with a finite support with all possible multispin interactions and boundary conditions with a shift, the exact value of the free energy in the thermodynamic limit is obtained…

Statistical Mechanics · Physics 2021-03-16 Pavel V. Khrapov

The inversion of 3/2$^{-}$ and 5/2$^{-}$ levels in heavier Cu isotopes is one of the most visible example of shell-evolution, caused by the strong monopole attraction between the nucleons occupying the orbitals $\pi 0f_{5/2}$ and $\nu…

Nuclear Theory · Physics 2021-09-02 Kanhaiya Jha , P. K. Raina

The fundamental program in high energy spin physics focuses on the spin structure of the nucleon. The gluon and orbital angular momentum components of the nucleon spin are virtually unknown. The J_z=1/2 sum rule involves the integrated…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gordon P. Ramsey

We utilize a nuclear shell model Hamiltonian with only two adjustable parameters to generate, for the first time, exact solutions for pairing correlations for light to medium-mass nuclei, including the challenging proton-neutron pairs,…

Nuclear Theory · Physics 2019-12-18 M. E. Miora , K. D. Launey , D. Kekejian , F. Pan , J. P. Draayer