Abstract

A Monte Carlo method is given to solve nuclear many body problems in the frame of the Ritz' variational principle. The antisymmetrization and all integrations are performed by a random process. The method is formulated for a two cluster system, using oscillator wave functions and hard core forces, but it can be generalized to rather arbitrary forces and wave functions. As a test example, the ground state energy and rms-radius of the α-particle has been calculated. For the final parameter values, an accuracy in the energy of 10 % (2 %) was obtained after a calculation time of 40 sec (16 min) wit ann IBM 7090 computer. The accuracy in the radius is by a factor 8 better. The minimum energy depends rather strongly on the form of the trial wave function near the hard core.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.