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.

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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

Core polarization of the effective two-nucleon interaction for different descriptions of the core

We consider two nonperturbative methods originally used to derive shell model effective interactions in nuclei These methods have been applied to the two nucleon sector to obtain an energy independent effective interaction V_{low k}, which preserves the low momentum half-on-shell T matrix and the deuteron pole, with a sharp cutoff imposed on all intermediate state momenta We show that V_{low k} scales with the cutoff precisely as one expects from renormalization group arguments This result is a step towards reformulating traditional model space many-body calculations in the language of effective field theories and the renormalization group The numerical scaling properties of V_{low k} are observed to be in excellent agreement with our exact renormalization group equation

Renormalization Group Equation for Low Momentum Effective Nuclear Interactions

The structure of the N = 50 isotones 98Cd, 97Ag and 96Pd is studied in terms of a shell model employing a realistic effective interaction derived from the Bonn-A nucleon-nucleon potential. The single-hole energies are fixed by resorting to an analysis of the low-energy spectra of the isotones with A≥89. Comparison shows that our results are in very satisfactory agreement with the available experimental data. This supports confidence in the predictions of our calculations.

T.T.S. Kuo

Papers

Core polarization of the effective two-nucleon interaction for different descriptions of the core

Renormalization Group Equation for Low Momentum Effective Nuclear Interactions

Realistic shell-model calculations for proton-rich N=50 isotones

Summation of particle-particle and particle-hole ring diagrams in binding energy calculations and Lipkin models☆

Energy spectrum and dipole transitions of 89Y