Theses and Dissertations

Issuing Body

Mississippi State University

Advisor

Moong, Gautam Rupak Lan Tai

Committee Member

Dutta, Dipangkar

Committee Member

Clay, R. Torsten

Date of Degree

1-1-2015

Document Type

Graduate Thesis - Open Access

Degree Name

Master of Science

College

College of Arts and Sciences

Department

Department of Physics and Astronomy

Abstract

In this thesis we study non-relativistic, low-energy, s-wave scattering in a four-body spin-1/2 fermion system. The scattering is caused by an attractive twoermion contact interaction which is capable of producing a weakly bound state known as a dimer. This fourermion system is used to study the scattering of a two-dimer system. Using Hybrid Monte Carlo methods we compute the ground state energies of the system on a lattice. Luscher’s finite-volume formula and the Effective Range Expansion are used to calculate the dimer-dimer scattering length add and effective range rdd in terms of the fermionermion scattering length aff. Using these techniques we obtain the values add=aff = 0:60 +/- 0:04 and rdd=aff = 3:2 +/- 0:5. This scattering length shows excellent agreement with the numerous values in the literature. We also compare this effective range with the only currently known value in the literature.

URI

https://hdl.handle.net/11668/21177

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