Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products

Kazuyuki Sekizawa and Kazuhiro Yabana
Phys. Rev. C 90, 064614 – Published 15 December 2014

Abstract

Background: The time-dependent Hartree-Fock (TDHF) theory has been successful in describing low-energy heavy ion collisions. Recently, we have shown that multinucleon transfer processes can be reasonably described in the TDHF theory combined with the particle-number projection technique.

Purpose: In this work, we propose a theoretical framework to analyze properties of reaction products in TDHF calculations.

Methods: We employ the TDHF theory in three-dimensional Cartesian grid representation combined with particle-number projection method. We develop a theoretical framework to calculate expectation values of operators in the TDHF wave function after collision with the particle-number projection. To show how our method works in practice, the method is applied to O24+O16 collisions for two quantities, angular momentum and excitation energy.

Results: The analyses revealed following features of the reaction: The nucleon removal proceeds gently, leaving small values of angular momentum and excitation energy in nucleon removed nuclei. Contrarily, nuclei receiving nucleons show expectation values of angular momentum and excitation energy which increase as the incident energy increases.

Conclusions: The method will be useful for microscopic investigations of reaction mechanisms in low-energy heavy ion collisions as well as for evaluating effects of particle evaporation on multinucleon transfer cross sections.

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  • Received 4 September 2014
  • Revised 31 October 2014

DOI:https://doi.org/10.1103/PhysRevC.90.064614

©2014 American Physical Society

Authors & Affiliations

Kazuyuki Sekizawa1,* and Kazuhiro Yabana1,2,†

  • 1Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571, Japan
  • 2Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8577, Japan

  • *sekizawa@nucl.ph.tsukuba.ac.jp
  • yabana@nucl.ph.tsukuba.ac.jp

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Issue

Vol. 90, Iss. 6 — December 2014

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