The Pauli Operator Correction in the Effective ΛN Interaction

Author

Jaleh Owliaei, Western Michigan University

Date of Award

4-1985

Degree Name

Master of Arts

Department

Physics

First Advisor

Dr. Dean Halderson

Second Advisor

Dr. Alvin Rosenthal

Third Advisor

Dr. Michitoshi Soga

Access Setting

Masters Thesis-Open Access

Abstract

Hypernuclear structure calculations performed for ⁶_ΛLi, ⁷_ΛLi, and ¹⁶_Λ0 have reproduced the 1_Λ=1 levels inferred from the recent (k, Π) reactions. However the 1_Λ=0, groundstate of ¹⁶_Λ0 is overbound by 6 MeV in these calculations, indicating a density dependence in the effective ΛN interaction in the interior of the heavier system. In this work corrections to the ¹⁶_Λ0 effective interaction are introduced in terms of a Brueckner-Goldstone G-matrix with a modified Pauli operator. The G-matrix of ¹⁶_Λ0 derived from that of ⁶_ΛLi with the corrected Pauli operator results in an improvement of about one-half MeV for the groundstate of ¹⁶_Λ0. This makes the inclusion of the repulsive three-body forces, which has been neglected in the present calculations, more urgent. Since the number of ΛNN interactions in 16_ΛLi, these three-body forces, which has been neglected in the present calculations, more urgent. Since the number of ΛNN interactions in ¹⁶_Λ0 are ten times more than those in ⁶_ΛLi, these three-body interactions would improve the overbinding in ¹⁶_Λ0 with little effect on ⁶_ΛLi.

Recommended Citation

Owliaei, Jaleh, "The Pauli Operator Correction in the Effective ΛN Interaction" (1985). Masters Theses. 1394.
https://scholarworks.wmich.edu/masters_theses/1394