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

The structure of the nuclei {sup 206,205,204}Pb is studied in terms of shell model employing a realistic effective interaction derived from the Bonn A nucleon-nucleon potential. The energy spectra, binding energies and electromagnetic properties are calculated and compared with experiment. A very good overall agreement is obtained. This evidences the reliability of our realistic effective interaction and encourages use of modern realistic potentials in shell-model calculations for heavy-mass nuclei. {copyright} {ital 1998} {ital The American Physical Society}

Bonn potential and shell-model calculations for {sup 206,205,204}Pb

Theory of model-space single-particle potential and its application to nuclear matter calculations

Realistic effective interactions for halo nuclei

We have performed quasiparticle-random-phase-approximation (QRPA) calculations of the \ensuremath{\nu}\ensuremath{\nu} transition matrix for $^{76}\mathrm{Ge}$, $^{82}\mathrm{Se}$, and $^{100}\mathrm{Mo}$, using effective interactions derived from the Paris and the Bonn NN potentials. Unlike earlier QRPA calculations where the self-energy corrections to the single-particle spectra were suppressed, we have retained these corrections as given by our interactions. In this way our calculations are able to avoid the commonly encountered difficulty of QRPA instability near ${\mathit{g}}_{\mathrm{pp}}$=1. The ${\mathit{M}}^{2\ensuremath{\nu}}$ matrix elements of $^{76}\mathrm{Ge}$, $^{82}\mathrm{Se}$, and $^{100}\mathrm{Mo}$ given by our calculation, with no adjustable parameters, are in reasonably good agreement with recent direct counter experiments.

2 nu double beta decay and self-consistent self-energies.

Model-space effective interactions $V_{eff}$ derived from free-space nucleon-nucleon interactions $V_{NN}$ are reviewed. We employ a double decimation approach: first we extract a low-momentum interaction $V_{low-k}$ from $V_{NN}$ using a $T$-matrix equivalence decimation method. Then $V_{eff}$ is obtained from $V_{low-k}$ by way of a folded-diagram effective interaction method. For decimation momentum $\Lambda \simeq 2 fm^{-1}$, the $V_{low-k}$ interactions derived from different realistic $V_{NN}$ models are nearly model independent, and so are the resulting shell-model effective interactions. For nucleons in a low-density nuclear medium like valence nucleons near the nuclear surface, such effective interactions derived from free-space $V_{NN}$ are satisfactory in reproducing experimental nuclear properties. But it is not so for nucleons in a nuclear medium with density near or beyond nuclear matter saturation density. In this case it may be necessary to include the effects from Brown-Rho (BR) scaling of hadrons and/or three-nucleon forces $V_{3N}$, effectively changing the free-space $V_{NN}$ into a density-dependent one. The density-dependent effects from BR scaling and $V_{3N}$ are compared with those from empirical Skyrme effective interactions.

https://iopscience.iop.org/article/10.1088/0031-8949/91/3/033009/pdf

T.T.S. Kuo

Papers

Bonn potential and shell-model calculations for {sup 206,205,204}Pb

Theory of model-space single-particle potential and its application to nuclear matter calculations

Realistic effective interactions for halo nuclei

2 nu double beta decay and self-consistent self-energies.

Introduction to low-momentum effective interactions with Brown–Rho scaling and three-nucleon forces