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We discuss a number of constraints on the effects of zero-range potentials in quantum mechanics. We show that for such a potential $p \cot(\delta)$, where $p$ is the momentum of the nucleon in the center of mass frame and $\delta$ is the…

Nuclear Theory · Physics 2009-10-30 Daniel R. Phillips , Thomas D. Cohen

The effective low-momentum interaction Vlowk is applied to three- and four-nucleon systems. We investigate the 3H, 3He and 4He binding energies for a wide range of the momentum cutoffs. By construction, all low-energy two-body observables…

Nuclear Theory · Physics 2009-11-10 Andreas Nogga , Scott K. Bogner , Achim Schwenk

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

The momentum dependence of the empirical scalar and vector potentials needed for describing relativistic heavy-ion collisions at 1 GeV/nucleon is compared with that derived from self-consistent Dirac-Brueckner calculations using the Bonn-A…

Nuclear Theory · Physics 2009-10-30 C. -H. Lee , T. T. S. Kuo , G. Q. Li , G. E. Brown

We report benchmark calculations of the energy per particle of pure neutron matter as a function of the baryon density using three independent many-body methods: Brueckner-Bethe-Goldstone, Fermi hypernetted chain/single-operator chain, and…

Nuclear Theory · Physics 2020-04-15 M. Piarulli , I. Bombaci , D. Logoteta , A. Lovato , R. B. Wiringa

The cross sections for low-energy neutrino-deuteron reactions are calculated within heavy-baryon chiral perturbation theory employing cut-off regularization scheme. The transition operators are derived up to next-to-next-to-next-to-leading…

Nuclear Theory · Physics 2009-11-07 S. Ando , Y. H. Song , T. -S. Park , H. W. Fearing , K. Kubodera

In what follows we first set the context for inverse scattering in nuclear physics with a brief account of inverse problems in general. We then turn to inverse scattering which involves the S-matrix, which connects the interaction potential…

Nuclear Theory · Physics 2012-05-03 Raymond S. Mackintosh

The neutron and proton scattering with either deuteron or stable alpha particle can be modeled as a two particle system. In this paper, using Morse function as reference potential, inverse potentials have been computationally constructed…

Nuclear Theory · Physics 2022-09-27 Lalit Kumar , Shikha Awasthi , Anil Khachi , O. S. K. S Sastri

The numerical algorithm of the inverse quantum scattering is developed. This algorithm is based on the Marchenko theory, and includes three steps. The first one is the algebraic Pade approximation of the unitary S-matrix, what is realized…

Nuclear Theory · Physics 2007-05-23 N. A. Khokhlov , V. A. Knyr

We investigate the energy dependence of potentials defined through the Bethe-Salpeter wave functions. We analytically evaluate such a potential in the Ising field theory in 2 dimensions and show that its energy dependence is weak at low…

High Energy Physics - Lattice · Physics 2010-01-21 Sinya Aoki , Janos Balog , Tetsuo Hatsuda , Noriyoshi Ishii , Keiko Murano , Hidekatsu Nemura , Peter Weisz

Central nucleon-nucleon potentials involving forbidden states are obtained for the Gaussian, exponential, and Yukawa type. The parameters of interaction are obtained by fitting the scattering phase shifts for energies up to 500 MeV,…

Nuclear Theory · Physics 2007-05-23 S. B. Dubovichenko

Properties of nuclear matter are investigated in the framework of relativistic Brueckner-Hartree-Fock model with the latest high-precision charge-dependent Bonn (pvCD-Bonn) potentials, where the coupling between pion and nucleon is adopted…

Nuclear Theory · Physics 2020-10-28 Chencan Wang , Jinniu Hu , Ying Zhang , Hong Shen

The influence of short-range correlations on the momentum and energy distribution of nucleons in nuclei is evaluated assuming a realistic meson-exchange potential for the nucleon-nucleon interaction. Using the Green-function approach the…

Nuclear Theory · Physics 2009-10-28 H. Müther , A. Polls , W. H. Dickhoff

A microscopic theory of nuclei based on a 'free' scattering NN-potential is meaningful only if this potential fits on-shell scattering data.This is a necessary but not sufficient condition for the theory to be successful.It has been…

Nuclear Theory · Physics 2009-07-10 H. S. Kohler

The neutral-current neutrino-nucleus scattering is calculated through the neutrino-induced knocked-out nucleon process in the quasielastic region by using a relativistic single particle model for the bound and continuum states. The incident…

Nuclear Theory · Physics 2008-11-26 K. S. Kim , B. G. Yu , M. K. Cheoun , T. K. Choi , M. T. Chung

We investigate nuclear matter properties in the relativistic Brueckner approach. The in-medium on-shell T-matrix is represented covariantly by five Lorentz invariant amplitudes from which we deduce directly the nucleon self-energy. To…

Nuclear Theory · Physics 2009-10-31 T. Gross-Boelting , C. Fuchs , Amand Faessler

Microscopic optical potentials for nucleon-nucleus (NA) scattering obtained from the full folding of the effective g matrices, solutions of the Bruckner-Bethe-Goldstone equation, with the densities of the target, are applied to the case of…

Nuclear Theory · Physics 2009-11-07 S. Karataglidis , M. B. Chadwick

Scattering of charged particles is ubiquitous in nuclear physics. We calculate the proton-proton $s$-wave phase shift at low energy relevant to solar physics. The phase shift is calculated from the ratio of the regular and irregular…

Nuclear Theory · Physics 2025-08-12 Ratna Khadka , Gautam Rupak

Current long baseline experiments aim at measuring neutrino oscillation parameters with a high precision. A critical quantity is the neutrino energy which can not be measured directly but has to be reconstructed from the observed hadrons. A…

Nuclear Theory · Physics 2009-04-03 T. Leitner , O. Buss , U. Mosel , L. Alvarez-Ruso

In non-relativistic Brueckner calculations of nuclear matter, the self-consistent single particle potential is strongly momentum dependent. To simplify the calculations, a parabolic approximation is often used in the literature. The…

Nuclear Theory · Physics 2009-11-06 M. Baldo , A. Fiasconaro