DETERMINING THE THEORETICAL CONDITIONS UNDER WHICH TWO, THREE, AND FOUR NEUTRONS BIND IN A HARMONIC OSCILLATOR TRAP
dc.contributor.advisor | Barrett, Bruce | |
dc.contributor.author | Vij, Neeraj Jr. | |
dc.creator | Vij, Neeraj Jr. | |
dc.date.accessioned | 2018-10-17T02:41:10Z | |
dc.date.available | 2018-10-17T02:41:10Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Vij, Neeraj Jr.. (2018). DETERMINING THE THEORETICAL CONDITIONS UNDER WHICH TWO, THREE, AND FOUR NEUTRONS BIND IN A HARMONIC OSCILLATOR TRAP (Bachelor's thesis, University of Arizona, Tucson, USA). | |
dc.identifier.uri | http://hdl.handle.net/10150/630399 | |
dc.description.abstract | We consider the general two, three, and four neutron systems in a harmonic oscillator (HO) trap. By constructing a model for the 2, 3, and 4-neutron interactions, we make predictions about the theoretical conditions that produce a 2, 3, and 4 body bound state. We do so using an Effective Field Theory (EFT) in a No Core Shell Model (NCSM) basis space. The HO dependence is added to discretize the problem into a finite number of energy eigenstates in which the NCSM basis states are written. We find that as the width parameter (b) of the well tends to infinity, a bound 2-body state reproduces a bound 3 and 4-body state, that 2- body bound states do not reproduce 3 and 4 body bound states in the regime of 0.6760 < b/a < 1.7467, and we also show below scattering lengths of a = 4.438 X 10-15 m, 1.700 X 10- 15 m, and 1.866 X 10-15 m the 2, 3, and 4 body states are bound, respectively, for a width parameter of 3 Fermi’s. | |
dc.language.iso | en | |
dc.publisher | The University of Arizona. | |
dc.rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.title | DETERMINING THE THEORETICAL CONDITIONS UNDER WHICH TWO, THREE, AND FOUR NEUTRONS BIND IN A HARMONIC OSCILLATOR TRAP | |
dc.type | text | |
dc.type | Electronic Thesis | |
thesis.degree.level | bachelors | |
thesis.degree.discipline | Honors College | |
thesis.degree.discipline | Physics | |
thesis.degree.name | B.S. | |
refterms.dateFOA | 2018-10-17T02:41:10Z |