Effective Mass of a Single $\pi^0$ Interacting With Itself
POSTER
Abstract
The effective mass of a single $\pi^0$ $\pi$on when interacting with itself has been calculated. The calculation was done using C++ and It++, a C++ library extension which attempts to emulate MATLAB. This calculation was done by generating a matrix $G$ from a database, and two meson state matrices $M_0$, and $M_1$. $G$, $M_0$, and $M_1$ are each $1584 \times 1584$, however, careful algebra, knowing the properties of these matrices, enables only the top left $792 \times 792$ block of each to be created, saving computation time and reducing numerical error. The $\pi^0$ self-interacting-effective-mass has been calculated to be 0.0755(190).
Authors
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J.M. Eldridge
Union University, College of William and Mary
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K. Orginos
College of William and Mary