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In the canonical type-I seesaw mechanism for neutrino masses, a residual symmetry known as lepton parity: $(-1)^L$, remains preserved. Introducing a Majorana fermion $S$ with even lepton parity renders it naturally stable, making it a…

High Energy Physics - Phenomenology · Physics 2026-05-08 Ernest Ma , Partha Kumar Paul , Narendra Sahu

We investigate a beyond Standard Model (SM) featuring five new fields. Four fields encompassing three distinct spin states - scalar ($ S $), spinor ($ \psi^{1,2} $), and vector ($ V_{\mu} $) - together form the multi-component dark matter…

High Energy Physics - Phenomenology · Physics 2025-09-25 Mohammad Hossein Rahimi Abkenar , Ahmad Mohamadnejad , Reza Sepahvand

This note describes five subjects of some interest for the density functional theory in nuclear physics. These are, respectively, i) the need for concave functionals, ii) the nature of the Kohn-Sham potential for the radial density theory,…

Nuclear Theory · Physics 2015-05-14 B. G. Giraud

Response functions of infinite nuclear matter with arbitrary isospin asymmetry are studied in the framework of the random phase approximation. The residual interaction is derived from a general nuclear Skyrme energy density functional.…

Nuclear Theory · Physics 2015-06-11 A. Pastore , D. Davesne , J. Navarro

The accurate description of open-shell molecules, in particular of transition metal complexes and clusters, is still an important challenge for quantum chemistry. While density-functional theory (DFT) is widely applied in this area, the…

Chemical Physics · Physics 2012-10-26 Christoph R. Jacob , Markus Reiher

A current objective of low-energy nuclear theory is to build non-empirical nuclear energy density functionals (EDFs) from underlying inter-nucleon interactions and many-body perturbation theory (MBPT). The density matrix expansion (DME) of…

Nuclear Theory · Physics 2014-11-20 B. Gebremariam , T. Duguet , S. K. Bogner

A relativistic mean field hadronic model with a dark matter (DM) particle coupled to nucleons including short-range correlations (SRC) is applied to study neutron stars (NS). The lightest neutralino is chosen as the dark particle candidate,…

Nuclear Theory · Physics 2022-01-31 O. Lourenço , T. Frederico , M. Dutra

The one-body density matrix (OBDM) of a strongly interacting spinor quantum gas in one dimension can be written as a summation of products of spatial and spin parts. We find that there is a remarkable connection between the spatial part and…

Quantum Gases · Physics 2017-05-17 Li Yang , Han Pu

Recently there is a renewed interest in exploring the Dark sector of the universe in a more constrained way. Particularly in [1], the FIMP ( Feebly Interacting Massive Particle) scenario was shown to be realized with a minimal extension of…

High Energy Physics - Phenomenology · Physics 2023-05-12 Utkarsh Patel , Lekhika Malhotra , Sudhanwa Patra , Urjit A. Yajnik

In natural processes involving weak interactions, a violation of spatial parity conservation should appear. Its effects are expected to be observable in molecules using different spectroscopic methodologies, but due to the tiny magnitude of…

Chemical Physics · Physics 2022-12-02 Ignacio Agustín Aucar , Yuly Andrea Chamorro Mena , Anastasia Borschevsky

A first step toward a universal nuclear energy density functional based on low-momentum interactions is taken using the density matrix expansion (DME) of Negele and Vautherin. The DME is adapted for non-local momentum-space potentials and…

Nuclear Theory · Physics 2009-11-13 S. K. Bogner , R. J. Furnstahl , L. Platter

Random motion of spins is usually detrimental in magnetic resonance experiments. The spin diffusion in non-uniform magnetic fields causes broadening of the resonance and limits the sensitivity and the spectral resolution in applications…

Quantum Physics · Physics 2023-01-18 Xiangdong Zhang , Jinbo Hu , Nan Zhao

We show the connection between stiffness of equation of state in a Relativistic Mean Field (RMF) of Nuclear Matter (NM) and the existence of a strong violation of longitudinal Momentum Sum Rule (MSR) in RMF for a finite pressure. The…

Nuclear Theory · Physics 2013-06-25 Jacek Rozynek

We present an approach for the calculation of spin density distributions for molecules that require very large active spaces for a qualitatively correct description of their electronic structure. Our approach is based on the density-matrix…

Chemical Physics · Physics 2012-06-29 Katharina Boguslawski , Konrad H. Marti , Örs Legeza , Markus Reiher

Nuclear density functional theory (DFT) is the only microscopic, global approach to the structure of atomic nuclei. It is used in numerous applications, from determining the limits of stability to gaining a deep understanding of the…

Nuclear Theory · Physics 2015-02-06 Nicolas Schunck , Jordan D. McDonnell , Jason Sarich , Stefan M. Wild , Dave Higdon

We study the effects of the tensor force, present in modern effective nucleon-nucleon interactions, in the spin instability of nuclear and neutron matter. Stability conditions of the system against certain very low energy excitation modes…

Nuclear Theory · Physics 2015-06-15 J. Navarro , A. Polls

The idea of this work is to investigate the constraints on the dark matter (DM) allowed parameter space from high scale validity (absolute stability of Higgs vacuum and perturbativity) in presence of multi particle dark sector and heavy…

High Energy Physics - Phenomenology · Physics 2020-04-22 Subhaditya Bhattacharya , Purusottam Ghosh , Abhijit Kumar Saha , Arunansu Sil

We introduce a nonsymmetric real matrix which contains all the information that the usual Hermitian density matrix does, and which has exactly the same tensor product structure. The properties of this matrix are analyzed in detail in the…

Quantum Physics · Physics 2007-05-23 Timothy F. Havel

In this paper we consider density matrices operator related to non-Hermitian Hamiltonians. In particular, we analyse two natural extensions of what is usually called a density matrix operator (DM), of pure states and of the entropy…

Mathematical Physics · Physics 2025-01-22 Fabio Bagarello , Francesco Gargano , Lidia Saluto

This paper concerns the asymptotic ground state properties of heavy atoms in strong, homogeneous magnetic fields. In the limit when the nuclear charge Z tends to infinity with the magnetic field B satisfying B >> Z^{4/3} all the electrons…

Mathematical Physics · Physics 2009-10-31 Christian Hainzl , Robert Seiringer