[Jlab-seminars] Theory Center Seminar

[Mary Fox]

Theory Center Seminar
Monday, May 23, 2011
1:00 p.m. (coffee at 12:45 p.m.)
CEBAF Center, Room L104

Jerry Yang
Univ. of Arizona

Two Nucleons in a Harmonic-Oscillator Trap with Chiral Potential at
Leading Order

We evaluate the connection between the bound-state energy spectrum for
two nucleons in a harmonic-oscillator (HO) trap and their scattering
phase shift in the continuum with the interaction being the
one-pion-exchange-potential (OPEP). In this work, the 1S0 and 3S1-3D1
channels are considered. We show that a direct implementation of the
Busch's formula converts the bound-state energy in the HO trap to the
scattering phase shift in the continuum in the 1S0 channel. For the
3S1-3D1 channel, we derive a generalization of the Busch's formula to
connect the bound-state energy to the scattering phase shifts and
evaluate its error. Our results could enable the study of an effective
field theory approach to the no-core shell model (NCSM) in a higher
energy region.