http://cds.cern.ch/record/257993/files/9401310.pdf

QCD phenomenology based on a chiral effective Lagrangian

Coexistence in even-mass nuclei

The concept of boson realization (or mapping) of Lie algebras appeared first in nuclear physics in 1962 as the idea of expanding bilinear forms in fermion creation and annihilation operators in Taylor series of boson operators, with the object of converting the study of nuclear vibrational motion into a problem of coupled oscillators. The physical situations of interest are quite diverse, depending, for instance, on whether excitations for fixed- or variable-particle number are being studied, on how total angular momentum is decomposed into orbital and spin parts, and on whether isotopic spin and other intrinsic degrees of freedom enter. As a consequence, all of the semisimple algebras other than the exceptional ones have proved to be of interest at one time or another, and all are studied in this review. Though the salient historical facts are presented in the introduction, in the body of the review the progression is (generally) from the simplest algebras to the more complex ones. With a sufficiently broad view of the physics requirements, the mathematical problem is the realization of an arbitrary representation of a Lie algebra in a subspace of a suitably chosen Hilbert space of bosons (Heisenberg-Weyl algebra). Indeed, if one includes the study of odd nuclei, one is forced to consider the mappings to spaces that are direct-product spaces of bosons and (quasi)fermions. Though all the methods that have been used for these problems are reviewed, emphasis is placed on a relatively new algebraic method that has emerged over the past decade. Many of the classic results are rederived, and some new results are obtained for odd systems. The major application of these ideas is to the derivation, starting from the shell model, of the phenomenological models of nuclear collective motion, in particular, the geometric model of Bohr and Mottelson and the more recently developed interacting boson model of Arima and Iachello. A critical discussion of those applications is interwoven with the theoretical developments on which they are based; many other applications are included, some of practical interest, some simply to illustrate the concepts, and some to suggest new lines of inquiry.

Boson realizations of Lie algebras with applications to nuclear physics

A quantal transport theory for nuclear collective motion: The merits of a locally harmonic approximation

A method to remove virtual interactions with applications to nuclear spectroscopy

This is the second in a series of papers which intends to develop a new microscopic theory capable by itself to select the "optimum" collective path or, more generally, the "optimum" collective submanifold in the many-particle Hilbert space. The main content of this paper consists of i) a restatement of the basic equations of the theory, derived from the fundamental principle which leads us to the "maximal decoupling" between the collective and intrinsic modes and is called the "invariance principle of the Schrodinger equation", and ii) a proposal of a method of solving the basic equations in an appropriate way for the large­ amplitude and highly non-linear collective vibrations about the Hartree-Fock ground state with a spherically symmetric equilibrium.

/pdf/self-consistent-collective-coordinate-method-for-the-large-3qbk0tuvzc.pdf

Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion

Geometry of the Self-Consistent Collective-Coordinate Method for the Large-Amplitude Collective Motion: Stability Condition of “;Maximally-Decoupled” Collective Submanifold

Toshio Marumori

Papers

Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion

Geometry of the Self-Consistent Collective-Coordinate Method for the Large-Amplitude Collective Motion: Stability Condition of “;Maximally-Decoupled” Collective Submanifold

Chapter 1 Present Status of the Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei

Intrinsic Excitation Modes Compatible with Large-Amplitude Collective Motion in the TDHF Theory

Master equations in the microscopic theory of nuclear collective dynamics