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A simple and efficient method to treat nuclear pairing correlations within a simple Hartree-Fock--plus-BCS description is proposed and discussed. It relies on the fact that the intensity of pairing correlations depends crucially on level…

Nuclear Theory · Physics 2024-09-18 Meng-Hock Koh , Philippe Quentin

Cross sections are calculated for neutrino scattering off heavy nuclei at energies below 50 MeV. The theory of Fermi liquid is applied to estimate the rate of neutrino-nucleon elastic and inelastic scattering in a nuclear medium in terms of…

Nuclear Theory · Physics 2008-11-26 Gennady I. Lykasov , Vadim A. Bednyakov

A new linked cluster expansion for the calculation of ground state observables of complex nuclei with realistic interactions has been developed [1-3]; using the V8' potential [4] the ground state energy, density and momentum distribution of…

Nuclear Theory · Physics 2007-05-23 M. Alvioli , C. Ciofi degli Atti , I. Marchino , H. Morita

Planning and interpretation of the experiments searching for the time reversal (T) and parity (P) violation in neutron reactions require values of the matrix elements of the T,P-violating nuclear forces between nuclear compound states. We…

Nuclear Theory · Physics 2019-08-15 Pavel Fadeev , Victor V. Flambaum

We outline two important effects that are missing from most evaluations of the dark matter capture rate in neutron stars. As dark matter scattering with nucleons in the star involves large momentum transfer, nucleon structure must be taken…

High Energy Physics - Phenomenology · Physics 2022-12-05 Nicole F. Bell , Giorgio Busoni , Theo F. Motta , Sandra Robles , Anthony W. Thomas , Michael Virgato

The neutrinoless double-$\beta$ decay is a hypothetical rare nuclear decay, which can be used for determining the neutrino-mass scale. The scheme to use this decay for determining the neutrino-mass scale is one of few limited methods…

Nuclear Theory · Physics 2019-01-23 J. Terasaki

We develop a statistical theory of the mean field. It is based on the proposition that the mean field can be obtained as an energy average. Moreover, it is assumed that the matrix elements of the residual interaction are random with the…

Nuclear Theory · Physics 2007-05-23 R. Caracciolo , A. De Pace , H. Feshbach , A. Molinari

Landau's Fermi Liquid parameters are calculated for non-superfluid pure neutron matter in the presence of a strong magnetic field at zero temperature. The particle-hole interactions in the system, where a net magnetization may be present,…

Nuclear Theory · Physics 2009-08-26 M. Angeles Perez-Garcia , J. Navarro , A. Polls

By making use of the isospin conservation by strong interaction, the Fermi $0\nu\beta\beta$ nuclear matrix element $M_{F}^{0\nu}$ is transformed to acquire the form of an energy-weighted double Fermi transition matrix element. This useful…

Nuclear Theory · Physics 2009-11-06 Vadim Rodin , Amand Faessler

The convergence of the perturbation expansion for the effective interaction to be used in shell-model calculations is investigated as function of the mass number $A$, from $A=4$ to $A=208$. As the mass number increases, there are more…

Nuclear Theory · Physics 2009-09-25 M. Hjorth-Jensen , H. Muether , A. Polls , E. Osnes

A statistical theory of the mean field is developed. It is based on the proposition that the mean field can be obtained as an energy average. Moreover, it is assumed that the matrix elements of the residual interaction, obtained after the…

Nuclear Theory · Physics 2009-10-30 R. Caracciolo , A. De Pace , H. Feshbach , A. Molinari

Impact of the in-medium modified nucleon weak and electromagnetic form factors on the neutrino mean free path in dense matter is studied by considering both the weak and electromagnetic interactions of neutrinos with the constituents of the…

Nuclear Theory · Physics 2018-08-08 Parada T. P. Hutauruk , Yongseok Oh , K. Tsushima

Green's function Monte Carlo calculations of magnetic dipole, electric quadrupole, Fermi, and Gamow-Teller transition matrix elements are reported for A=6,7 nuclei. The matrix elements are extrapolated from mixed estimates that bracket the…

Nuclear Theory · Physics 2008-11-26 Muslema Pervin , Steven C. Pieper , R. B. Wiringa

Uniform neutron matter is approximated by a cubic box containing a finite number of neutrons, with periodic boundary conditions. We report variational and Green's function Monte Carlo calculations of the ground state of fourteen neutrons in…

Nuclear Theory · Physics 2009-11-10 J. Carlson , J. Morales , V. R. Pandharipande , D. G. Ravenhall

The weak nucleon axial-vector form factor for quasi-elastic interactions is determined using neutrino interaction data from the K2K Scintillating Fiber detector in the neutrino beam at KEK. More than 12,000 events are analyzed, of which…

High Energy Physics - Experiment · Physics 2014-11-17 K2K Collaboration , R. Gran , E. J. Jeon

We derive density-dependent corrections to the in-medium nucleon-nucleon interaction from the leading-order chiral three-nucleon force. To this order there are six distinct one-loop diagrams contributing to the in-medium nucleon-nucleon…

Nuclear Theory · Physics 2010-04-06 J. W. Holt , N. Kaiser , W. Weise

The concept of the nuclear enhancement factor has been used since the beginning of gamma-ray astronomy. It provides a simple and convenient way to account for the contribution of nuclei (A>1) in cosmic rays (CRs) and in the interstellar…

High Energy Astrophysical Phenomena · Physics 2015-02-17 Michael Kachelriess , Igor V. Moskalenko , Sergey S. Ostapchenko

We discuss the local density approximation approach to calculating the ground state energy of a one-dimensional Fermi gas containing a single impurity, and compare the results with exact numerical values that we have for up to 11 particles…

Quantum Gases · Physics 2016-05-27 N. J. S. Loft , L. B. Kristensen , A. E. Thomsen , N. T. Zinner

Correlated basis function perturbation theory and the formalism of cluster expansions have been recently employed to obtain an effective interaction from a state-of-the-art nucleon nucleon potential model. The approach based on the…

Nuclear Theory · Physics 2011-07-19 Omar Benhar , Nicola Farina , Salvatore Fiorilla , Marco Valli

Relativistic energy density functionals have become a standard framework for nuclear structure studies of ground-state properties and collective excitations over the entire nuclide chart. We review recent developments in modeling nuclear…

Nuclear Theory · Physics 2015-10-28 N. Paar , T. Marketin , D. Vale , D. Vretenar