Speaker: Thomas Luu (T-6, LANL)

Applying the Bloch-Horowitz eqn. to S- and P- shell nuclei

A handful of methods exist for tackling the nuclear few-body problem. Infinite Hilbert space methods, such as Faddeev, Faddeev-Yakubovsky, and Greens Function Monte Carlo (GFMC), have been successful in calculating the spectra of three-body, four-body, and certain P-shell nuclei, respectively. However, such methods ultimately succumb to the difficulties indued by the number of exponentially increasing degrees-of-freedom intrinsic to the many-body problem.
To alleviate some of these difficulties, few-body methods have been developed that work within truncated Hilbert spaces. The traditional nuclear shell-model is a prime example, as well as the more modern No-Core shell model (NCSM). Because of the drastic truncation of the Hilbert space, renormalized 'effective' operators must be employed. However, the degree to which these effective operators have been formally used in past calculations varies due to their complexity.
In this talk, I focus on the effective interaction as given by the self-consistent Bloch-Horowitz (BH) equation, and approximations thereof. I elaborate on the differences between traditional shell model two-body interactions, such as the G-matrix, and the A-body BH interaction. Finally, I present results stemming from the use of the BH equation within the smallest allowed Hilbert spaces for S-shell nuclei and certain P-shell nuclei.

ONLY LEVEL 1 APPROVED PEOPLE MAY ATTEND