Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)

The Bonn Meson Exchange Model for the Nucleon Nucleon Interaction

Nuclear forces can be systematically derived using effective chiral Lagrangians consistent with the symmetries of QCD. I review the status of the calculations for two- and three-nucleon forces and their applications in few-nucleon systems. I also address issues like the quark mass dependence of the nuclear forces and resonance saturation for four-nucleon operators.

/pdf/modern-theory-of-nuclear-forces-436h635pm0.pdf

Modern theory of nuclear forces

Nowadays it has become customary in nuclear physics to denote by “tradition” the approach that considers nucleons and mesons as the relevant degrees of freedom. It is the purpose of this chapter to review this “traditional” approach in the area of nuclear forces and their applications to nuclear structure.

The Meson Theory of Nuclear Forces and Nuclear Structure

Neutron star observations: Prognosis for equation of state constraints

We study a method by which realistic nucleon-nucleon potentials V_NN can be reduced, in a physically equivalent way, to an effective low-momentum potential V-low-k confined within a cut-off momentum k-cut. Our effective potential is obtained using the folded-diagram method of Kuo, Lee and Ratcliff, and it is shown to preserve the half-on-shell T-matrix. Both the Andreozzi-Lee-Suzuki and the Andreozzi-Krenciglowa-Kuo iteration methods have been employed in carrying out the reduction. Calculations have been performed for the Bonn A and Paris NN potentials, using various choices for k-cut such as 2 fm-1. The deuteron binding energy, low-energy NN phase shifts, and the low-momentum half-on-shell T-matrix given by V_NN are all accurately reproduced by V-low-k. Possible applications of V-low-k directly to nuclear matter and nuclear structure calculations are discussed.

https://arxiv.org/pdf/nucl-th/0204058.pdf

Low momentum nucleon-nucleon potentials with half-on-shell T-matrix equivalence

Low momentum nucleon–nucleon potentials with half-on-shell T-matrix equivalence

Folded diagrams and 1s-Od effective interactions derived from Reid and Paris nucleon-nucleon potentials

This monograph teaches advanced undergraduate students and practitioners how to use folded diagrams to calculate properties of complex particle systems such as atomic nuclei, atoms and molecules in terms of interactions among their constituents. Emphasis is on systems with valence particles in open shells. Detailed diagram rules are derived and illustrated by simple examples. Applications include nuclear optical model potentials, meson-exchange theory of the nucleon-nucleon interactions and molecular-structure problems.

T.T.S. Kuo

Papers

Low momentum nucleon-nucleon potentials with half-on-shell T-matrix equivalence

Low momentum nucleon–nucleon potentials with half-on-shell T-matrix equivalence

Folded diagrams and 1s-Od effective interactions derived from Reid and Paris nucleon-nucleon potentials

Folded-diagram theory of the effective interaction in nuclei, atoms and molecules

Shell model calculations of two to four identical-“particle” systems near 208Pb