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Related papers: Skyrme-Model $\pi NN$ Form Factor and Nucleon-Nucl…

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We derive the nucleon-nucleon interaction from the Skyrme model using the instanton and product approximations to skyrmion dynamics. In doing so, we also calculate the classical potential and metric for skyrmion dynamics in each of the…

High Energy Physics - Theory · Physics 2022-11-23 Chris Halcrow , Derek Harland

We derive the nucleon-nucleon interaction from the Skyrme model using second order perturbation theory and the dipole approximation to skyrmion dynamics. Unlike previous derivations, our derivation accounts for the non-trivial kinetic and…

High Energy Physics - Theory · Physics 2022-08-10 Derek Harland , Chris Halcrow

Self-consistent mean-field models are a powerful tool in the investigation of nuclear structure and low-energy dynamics. They are based on effective energy-density functionals, often formulated in terms of effective density-dependent…

Nuclear Theory · Physics 2008-11-26 J. R. Stone , P. -G. Reinhard

Nuclei close to the neutron drip line are described employing an interaction model which is based on the low-momentum interaction $V_{lowk}$. This effective two-body interaction which is determined to reproduce the nucleon-nucleon (NN)…

Nuclear Theory · Physics 2009-10-29 E. N. E. van Dalen , P. Gögelein , H. Müther

The effect of correlated scalar-isoscalar two-pion exchange (CrTPE) modes is considered in connection with central and spin-orbit parts of the NN force. The two-pion correlation function is coupled directly to the scalar form factor of the…

Nuclear Theory · Physics 2009-11-10 Murat M. Kaskulov , Heinz Clement

The pion-nucleon scattering is investigated by using several three-dimensional reduction schemes of the Bethe-Salpeter equation for a model Lagrangian involving $\pi$, $N$, $\Delta$, $\rho$, and $\sigma$ fields. It is found that all of the…

Nuclear Theory · Physics 2009-11-07 Cheng-Tsung Hung , Shin Nan Yang , T. -S. H. Lee

We analyze the One Boson Exchange Potential from the point of view of Renormalization theory. We show that the nucleon-meson Lagrangean while predicting the NN force does not predict the NN scattering matrix nor the deuteron properties…

Nuclear Theory · Physics 2010-04-29 A. Calle Cordon , E. Ruiz Arriola

We evaluate the contribution to the nucleon-nucleon interaction due to correlated $\pi\rho$ exchange in the $\pi$, $\omega$, and $A_1$/$H_1$ channels by means of dispersion-theoretic methods based on a realistic meson exchange model for the…

Nuclear Theory · Physics 2016-08-15 G. Janssen , K. Holinde , J. Speth

A systematic calculation of nuclear matter is performed which includes the long-range correlations between nucleons arising from one- and two-pion exchange. Three-body effects from $2\pi$-exchange with excitations of virtual…

Nuclear Theory · Physics 2008-11-26 N. Kaiser , M. Mühlbauer , W. Weise

A meson exchange model of the $\pi\pi$ interaction which fits free $\pi\pi$ scattering data is used to calculate the interactions of pions in nuclear matter as a function of nuclear density. Polarization of the nuclear medium by the pions…

Nuclear Theory · Physics 2009-10-30 R. Rapp , J. W. Durso , J. Wambach

The nuclear sigma term is calculated including the nuclear matrix element of the derivative of the NN interaction with respect to the quark mass, $m_q\frac{\partial V_{NN}}{\partial m_q}$. The NN potential is evaluated in the…

Nuclear Theory · Physics 2008-11-26 A. Gammal , T. Frederico

Low-frequency modes of excitation in deformed neutron-rich nuclei are studied by means of the quasiparticle random-phase approximation on the Skyrme-Hartree-Fock-Bogoliubov mean field. We investigate the microscopic structure of the soft…

Nuclear Theory · Physics 2010-01-11 Kenichi Yoshida

As the residual interaction of quantum chromodynamics in low-energy region, the nucleon-nucleon (NN) potential can only be exactly described by the model picture now. In the Bonn potential, one of the most well-known NN interaction models,…

Nuclear Theory · Physics 2022-11-23 Jinniu Hu , Chencan Wang

The pion-mass-dependent nucleon-nucleon ($NN$) potentials in term of one-pion exchange and contact terms are obtained from the latest lattice QCD simulations of two-nucleon system, which employ the forms of leading order (LO) $NN$ potential…

Nuclear Theory · Physics 2020-08-26 Jinniu Hu , Ying Zhang , Hong Shen , Hiroshi Toki

The reaction of the elastic electron-deuteron scattering at high momentum transfer is investigated within the Bethe-Salpeter approach. The relativistic covariant Graz II separable kernel of nucleon-nucleon interactions is used to analyze…

Nuclear Theory · Physics 2015-06-19 A. V. Bekzhanov , S. G. Bondarenko , V. V. Burov

A microscopic model for the $N\bar N\to\pi\pi$ process is presented in the meson exchange framework, which in the pseudophysical region agrees with available quasiempirical information. The scalar ($\sigma$) and vector ($\rho$) piece of…

Nuclear Theory · Physics 2009-09-25 C. Schütz , J. W. Durso , K. Holinde , B. C. Pearce , J. Speth

The Skyrme model, though it admits correctly a wide range of static properties of the nucleon, does not seem to reproduce properly the scattering behavior of nucleons at high energies. In this paper we present a $T\bar T$-like deformation…

High Energy Physics - Theory · Physics 2021-05-19 Horatiu Nastase , Jacob Sonnenschein

The unstable manifold of the B=2 sector of the Skyrme model is constructed numerically using the gradient-flow method. Following paths of steepest descent from the B=2 hedgehog, we apply a collective coordinate description for the motion on…

Nuclear Theory · Physics 2007-05-23 Thomas Waindzoch , Jochen Wambach

The elastic and inelastic proton scattering on $^{18,20,22}$O nuclei are studied in a folding model formalism of nucleon-nucleus optical potential and inelastic form factor. The DDM3Y effective interaction is used and the ground state…

Nuclear Theory · Physics 2009-11-11 D. Gupta , E. Khan , Y. Blumenfeld

Constructing microscopic effective interactions (`optical potentials') for nucleon-nucleus (NA) elastic scattering requires in first order off-shell nucleon-nucleon (NN) scattering amplitudes between the projectile and the struck target…

Nuclear Theory · Physics 2019-10-03 G. Popa , M. Burrows , Ch. Elster , K. D. Launey , P. Maris , S. P. Weppner