Competition of isoscalar and isovector proton-neutron pairing in nuclei
Abstract We use shell model techniques in the complete pf shell to study pair correlations in nuclei. Particular attention is paid to the competition of isoscalar and isovector proton-neutron pairing modes which is investigated in the odd-odd N = Z nucleus 46 V and in the chain of even Fe-isotopes. We confirm the dominance of isovector pairing in the ground states. An inspection of the level density and pair correlation strength in 46 V, however, shows the increasing relative importance of isoscalar correlations with increasing excitation energy. In the Fe-isotopes we find the expected strong dependence of the proton-neutron isovector pairing strength on the neutron excess, while the dominant J = 1 isoscalar pair correlations scale much more gently with neutron number. We demonstrate that the isoscalar pair correlations depend strongly on the spin-orbit splitting.
Monte Carlo methods for the nuclear shell model.
We present novel Monte Carlo methods for treating the interacting shell model that allow exact calculations much larger than those heretofore possible. The two-body interaction is linearized by an auxiliary field; Monte Carlo evaluation of the resulting functional integral gives ground-state or thermal expectation values of few-body operators. The "sign problem" generic to quantum Monte Carlo calculations is absent in a number of cases. We discuss the favorable scaling of these methods with nucleon number and basis size and their suitability to parallel computation.
The Wrath of Athena: Gods and Men in the Odyssey
Chapter 1 Foreword Chapter 2 Introduction to the Paperback Edition Chapter 3 Introduction Chapter 4 The Beginning of the Odyssey Chapter 5 Odysseus Chapter 6 Gods and Men Chapter 7 The Encounter of Odysseus and Athena Chapter 8 The Double Theodicy of the Odyssey Chapter 9 Appendix: Demodocus and Homer Chapter 10 Bibliography Chapter 11 Index of Sources Chapter 12 Index of Names and Subjects