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We consider the massive relativistic particle models on fourdimensional Minkowski space extended by $N$ commuting Weyl spinors for N=1 and N=2. The N=1 model is invariant under the most general form of bosonic counterpart of simple D=4…

High Energy Physics - Theory · Physics 2011-07-19 S. Fedoruk , J. Lukierski

The thermal evolution of a few thermodynamic properties of the nuclear surface like its thermodynamic potential energy, entropy and the symmetry free energy are examined for both semi-infinite nuclear matter and finite nuclei. The…

Nuclear Theory · Physics 2015-06-19 B. K. Agrawal , D. Bandyopadhyay , J. N. De , S. K. Samaddar

Typically in unified theories the neutrino mixing angles, like the Cabibbo-Kobayashi-Maskawa (CKM) angles of the quarks, are related to the small mass ratios between fermions of different generations and are therefore quite small. A new…

High Energy Physics - Phenomenology · Physics 2011-05-12 K. S. Babu , S. M. Barr

We determine nuclear structure functions and quark distributions for $^7$Li, $^{11}$B, $^{15}$N and $^{27}$Al. For the nucleon bound state we solve the covariant quark-diquark equations in a confining Nambu--Jona-Lasinio model, which yields…

Nuclear Theory · Physics 2010-02-17 I. C. Cloet , W. Bentz , A. W. Thomas

A semiclassical model, based on a solution of the Vlasov equation for finite systems with moving-surface, is employed to study the isoscalar dipole modes in nuclei. It is shown that, by taking into account the surface degree of freedom, it…

Nuclear Theory · Physics 2009-11-07 V. I. Abrosimov , A. Dellafiore , F. Matera

In this paper, by using a special Euler-Ramanujan identity and the idea of Wick rotation, we show that a one-parameter family of solutions to the zero mean curvature equation in Lorentz-Minkowski $3$-space $\mathbb E_1^3$, namely…

Differential Geometry · Mathematics 2025-06-26 Subham Paul , Priyank Vasu , Siddharth Panigrahi , Rahul Kumar Singh

A highly specialized two-center shell model has been developed accounting for the splitting of a deformed parent nucleus into two ellipsoidaly deformed fragments. The potential is based on deformed oscillator wells in direct correspondance…

Nuclear Theory · Physics 2009-11-07 R. A. Gherghescu

We review recent advances in the shell model Monte Carlo approach for the microscopic calculation of statistical and collective properties of nuclei. We discuss applications to the calculation of (i) level densities in nickel isotopes,…

Nuclear Theory · Physics 2016-01-05 Y. Alhassid

Good many-body methods for medium and heavy nuclei are important. Here we combine ideas from standard generator-coordinate methods (GCM) and the so-called Monte Carlo shell model, and set forth a novel approach: starting from a mean-field…

Nuclear Theory · Physics 2019-10-02 Changfeng Jiao , Calvin W. Johnson

A new scheme to study the properties of finite nuclei is proposed based on the Dirac-Brueckner-Hartree-Fock (DBHF) approach starting from a bare nucleon-nucleon interaction. The relativistic structure of the nucleon self-energies in nuclear…

The canonical thermodynamic model has been used frequently to describe the disassembly of hot nuclear matter consisting of neutrons and protons. Such matter is formed in intermediate energy heavy ion collisions. Here we extend the method to…

Nuclear Theory · Physics 2009-05-13 S. Das Gupta

The Wess-Zumino term in two-dimensional conformal field theory is best understood as a surface holonomy of a bundle gerbe. We define additional structure for a bundle gerbe that allows to extend the notion of surface holonomy to unoriented…

High Energy Physics - Theory · Physics 2011-05-25 Urs Schreiber , Christoph Schweigert , Konrad Waldorf

We present a boundary element method to compute numerical approximations to the non-linear Molodensky problem, which reconstructs the surface of the earth from the gravitational potential and the gravity vector. Our solution procedure…

Numerical Analysis · Mathematics 2015-06-30 Lothar Banz , Adrian Costea , Heiko Gimperlein , Ernst P. Stephan

The $\sigma$-$\omega$ model of nuclei is studied at leading order in the $1/N$ expansion thereby introducing the self consistent Hartree approximation, the Dirac sea corrections and the one fermion loop meson self energies in a unified way.…

Nuclear Theory · Physics 2008-11-26 J. Caro , E. Ruiz Arriola , L. L. Salcedo

We present a numerical study of a two dimensional model of the Wess-Zumino type. We formulate this model on a sphere, where the fields are expanded in spherical harmonics. The sphere becomes fuzzy by a truncation in the angular momenta.…

High Energy Physics - Theory · Physics 2010-11-26 Wolfgang Bietenholz

The mean field properties and equation of state for asymmetric nuclear matter are studied by using a simple effective interaction which has a single finite range Gaussian term. The study of finite nuclei with this effective interaction is…

Nuclear Theory · Physics 2013-02-15 B. Behera , X. Vinas , M. Bhuyan , T. R. Routray , B. K. Sharma , S. K. Patra

Surface and curvature properties of asymmetric nuclear matter are studied beyond the proton drip. Using the semiclassical extended Thomas-Fermi method, the calculations are performed in the non-relativistic and relativistic meson field…

Nuclear Theory · Physics 2009-10-30 M. Centelles , M. Del Estal , X. Vinas

A powerful approach to the celebrated Wess-Zumino-Witten (WZW) model is provided by its free-field realization. However, explicit calculations of conformal blocks are not described in the literature in full detail. We begin this study with…

High Energy Physics - Theory · Physics 2025-12-02 Alexei Morozov , Hasib Sifat

Mass and isospin dependence of symmetry energy coefficients $a_{sym}$ of finite nuclei is investigated with the measured nuclear masses incorporating the liquid drop mass formula. The enhanced $a_{sym}$ for nearly symmetric nuclei are…

Nuclear Theory · Physics 2011-02-28 Ning Wang , Min Liu

We illustrate how nuclear polarization corrections in muonic atoms can be formally connected to inelastic response functions of a nucleus. We first discuss the point-nucleon approximation and then include finite-nucleon-size corrections. As…

Nuclear Theory · Physics 2014-08-05 Chen Ji , Nir Nevo Dinur , Sonia Bacca , Nir Barnea