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We derive an estimate of statistical error in calculating the trace of a large matrix by using random vector, and show that {\em random phase vector} gives the results with the smallest statistical error for a given basis set. This result…

Statistical Mechanics · Physics 2007-05-23 Toshiaki Iitaka , Toshikazu Ebisuzaki

Different approximations to describe nucleation kinetics have been analyzed. Some new approximations for solution of diffusion problem are proposed. Error of the approximation with constant radius of an embryo is clarified. The theory is…

Chemical Physics · Physics 2007-05-23 Victor Kourassov

Nearly a recent century of work is divided to Nucleon-Nucleon (NN) interaction issue. We review some overall perspectives of NN interaction with a brief discussion about deuteron, general structure and symmetries of NN Lagrangian as well as…

Nuclear Theory · Physics 2014-08-29 M. Naghdi

We calculate the total and differential quasielastic cross sections for neutrino and antineutrino scattering on nucleons using up to date fits to the nucleon elastic electromagnetic form factors $G_E^p$, $G_E^n$, $G_M^p$, $G_M^n$, and $F_A$…

High Energy Physics - Experiment · Physics 2009-06-02 A. Bodek , H. Budd , J. Arrington

Effective field theory of the in-medium nucleon-nucleon interaction is considered. The effective range parameters are found to be of a natural scale. The low density limit is discussed both in perturbative and nonperturbative situations. In…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Krippa

Quasielastic antineutrino/proton and neutrino/neutron scatterings can be well approximated by simple formulae, valid around MeV or GeV energies. We obtain a single expression valid in the whole range, and discuss its relevance for studies…

Astrophysics · Physics 2009-10-09 Alessandro Strumia , Francesco Vissani

The perturbative theory of the nucleation kinetics is analyzed. A new improvement is suggested and compared with numerical calculations.

Statistical Mechanics · Physics 2008-01-03 Victor Kurasov

The catastrophe theory is applied to a nuclear cluster model and an effective model for QCD at low energy. The study of quantum phase transitions in the cluster model was considered in an earlier publication, but restricted to spherical…

Nuclear Theory · Physics 2021-10-27 David S. Lohr-Robles , Enrique Lopez-Moreno , Peter O. Hess

The emergence of complex macroscopic phenomena from a small set of parameters and microscopic concepts demonstrates the power and beauty of physical theories. A theory which relates the wealth of data and peculiarities found in nuclei to…

Nuclear Theory · Physics 2016-05-18 Johannes Kirscher

We calculate the O(\alpha) electroweak corrections to charged- and neutral-current deep-inelastic neutrino scattering off an isoscalar target. The full one-loop-corrected cross sections, including hard photonic corrections, are evaluated…

High Energy Physics - Phenomenology · Physics 2011-09-13 K. -P. O. Diener

I review recent developments in the application of effective field theory to nuclear physics. Emphasis is placed on precision two-body calculations and efforts to formulate the nuclear shell model in terms of an effective field theory.

Nuclear Theory · Physics 2007-05-23 Martin J. Savage

Updated predictions are presented for high energy neutrino and antineutrino charged and neutral current cross-sections within the conventional DGLAP formalism of NLO QCD using modern PDF fits. PDF uncertainties from model assumptions and…

High Energy Physics - Phenomenology · Physics 2011-08-18 Amanda Cooper-Sarkar , Philipp Mertsch , Subir Sarkar

The charged-current double differential neutrino cross section, measured by the MiniBooNE Collaboration, has been analyzed using a microscopical model that accounts for, among other nuclear effects, long range nuclear (RPA) correlations and…

High Energy Physics - Phenomenology · Physics 2015-05-28 J. Nieves , I. Ruiz Simo , M. J. Vicente Vacas

Global and national efforts to deliver high-quality nuclear data to users have a broad impact across applications such as national security, reactor operation, basic science, medical fields, and more. Cross section evaluation is a large…

Computational Physics · Physics 2025-05-08 Noah A. W. Walton , Oleksii Zivenko , William Fritsch , Jacob Forbes , Amanda Lewis , Jesse Brown , Vlad Sobes

We study the effects of the tensor term of the effective nucleon-nucleon interaction on nuclear excited states. Our investigation has been conducted by using a self-consistent Random Phase Approximation approach. We investigate various…

Nuclear Theory · Physics 2011-02-18 G. Co' , V. De Donno , M. Anguiano , A. M. Lallena

A recent article (D.A. Brown, et al., Phys. Rev. C98 024616 (2018)) rproposed a modification of the cross section formula used in practical calculations of compound nucleus reactions. We discuss the main concepts and approximations of…

Nuclear Theory · Physics 2019-03-06 Y. Alhassid , G. F. Bertsch , P. Fanto , T. Kawano

We consider theoretically ionization of an atom by neutrino impact taking into account electromagnetic interactions predicted for massive neutrinos by theories beyond the Standard Model. The effects of atomic recoil in this process are…

High Energy Physics - Phenomenology · Physics 2014-12-23 Konstantin A. Kouzakov , Alexander I. Studenikin

Lattice effective field theory applies the principles of effective field theory in a lattice framework where space and time are discretized. Nucleons are placed on the lattice sites, and the interactions are tuned to replicate the observed…

Nuclear Theory · Physics 2025-10-07 Dean Lee

Inclusive neutrino-nucleus cross sections are calculated using a consistent relativistic mean-field theoretical framework. The weak lepton-hadron interaction is expressed in the standard current-current form, the nuclear ground state is…

Nuclear Theory · Physics 2010-02-26 N. Paar , D. Vretenar , T. Marketin , P. Ring

The argon spectral function is constructed and applied to neutrino-argon cross section computations in the plane wave impulse approximation with the Pauli blocking final state interaction effect taken into account. The approximations of the…

Nuclear Theory · Physics 2007-05-23 Artur M. Ankowski , Jan T. Sobczyk
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