PHYSICS AND CHEMISTRY OF FISSION

By STEVEN ROBINSON

CONTENTS PART I TOOLS FOR A MICROSCOPIC THEORY OF THE NUCLEUS HARTREE-FOCK-BOGOLIUBOV THEORY GENERAL FORMALISM PERTURBATION OF THE GENERALIZED DENSITY MATRIX AROUND THE HFB SOLUTION STABILITY OF THE HFB VACUUM AND DE?NITION OF THE QRPA MATRIX RESPONSE OF HFB TO A ONE-BODY EXTERNAL FIELD HFB WITH ADDITIONAL CONSTRAINTS THE CASE OF ONE CONSTRAINT THE CASE OF N CONSTRAINTS ILLUSTRATION OF THE CONSTRAINED HFB METHOD WITH THE MULTI-O (4) MODEL DESCRIPTION OF THE MODEL CONSTRAINED HARTREE-FOCK-BOGOLIUBOV CALCULATIONS REFERENCES MATRIX ELEMENTS OF THE FINITE-RANGE INTERACTION GENERAL FORM OF THE INTERACTION THE DEFORMED HARMONIC-OSCILLATOR BASIS FORM OF THE HFB EQUATIONS TOTAL ENERGY OF THE SYSTEM THE HARTREE-FOCK FIELD THE PAIRING FIELD MATRIX ELEMENTS IN AN AXIALLY DEFORMED HARMONIC-OSCILLATOR BASIS MATRIX ELEMENT OF THE KINETIC-ENERGY OPERATOR MATRIX ELEMENTS OF THE CENTRAL CONTRIBUTION MATRIX ELEMENTS OF THE COULOMB CONTRIBUTION MATRIX ELEMENTS OF THE SPIN-ORBIT CONTRIBUTION TWO-BODY CENTER-OF-MASS CORRECTION THE DENSITY-DEPENDENT CONTRIBUTION THE SLATER APPROXIMATION TO THE COULOMB EXCHANGE TERM THE GENERATOR COORDINATE METHOD THE HILL-WHEELER EQUATION CALCULATION OF GCM KERNELS DISCRETE-BASIS HILL-WHEELER METHOD WITHOUT PROJECTION PARTICLE-NUMBER PROJECTED DISCRETE HILL-WHEELER CALCULATIONS A COLLECTIVE SCHRÖDINGER EQUATION IN THE ADIABATIC LIMIT REDUCTION OF THE HILL-WHEELER EQUATION TO A BOHR-LIKE HAMILTONIAN CALCULATION OF THE INERTIA TENSOR THE SCHRÖDINGER COLLECTIVE INTRINSIC MODEL CALCULATION OF ˆJ?1/2 (¯Q) IN THE ONE-DIMENSIONAL CASE A SCHRÖDINGER-LIKE EQUATION ILLUSTRATION WITH THE MULTI-O (4) MODEL PART II APPLICATION TO LOW-ENERGY FISSION GENERAL CONCEPTS THE CHOICE OF COLLECTIVE CONSTRAINTS MULTIPOLE-MOMENT CONSTRAINTS CONSTRAINTS ON THE PRE-FRAGMENTS A QUANTUM MECHANICAL PICTURE OF SCISSION QUANTUM LOCALIZATION ENERGY PARTITION SCISSION CRITERIA DESCRIPTION OF THE NUCLEUS BEYOND SCISSION CALCULATION OF FRAGMENT MASS DISTRIBUTIONS THE COLLECTIVE HAMILTONIAN THE DIRECTION OF FISSION IN THE DYNAMICAL CALCULATIONS FROM FLUX TO FRAGMENT MASS DISTRIBUTION CALCULATION OF FRAGMENT ENERGIES STATIC CONTRIBUTION DYNAMICAL CONTRIBUTION NUMERICAL APPLICATION TO 240PU FISSION POTENTIAL ENERGY SURFACE AND INERTIA TENSOR INITIAL STATES FRAGMENT MASS DISTRIBUTION FRAGMENT ENERGIES SUMMARY AND OUTLOOK FOR FUTURE DIRECTIONS IN FISSION THEORY CONCLUDING REMARKS ABOUT THE METHODS PRESENTED IN THIS WORK SURVEY OF OTHER FISSION-THEORY APPROACHES STATICS DYNAMICS DATA EVALUATIONS