Analytical Expressions for a Hyperspherical Adiabatic Basis Three Particles in 2 Dimensions

Details Analytical Expressions for a Hyperspherical Adiabatic Basis Three Particles in 2 Dimensions Analytical Expressions for a Hyperspherical Adiabatic Basis Three Particles in 2 Dimensions

2001-05-14

arxiv.org/abs/physics/0105041v1

Physics

Chemical Physics

11 pages, submitted to the Physical Review. Permanent e_mail: syl@astro.temple.edu

Scientific paper

For a particular case of three-body scattering in 2 dimensions, we demonstrate analytically that the behaviour of the adiabatic potential is different from that of the hyperspherical coupling matrix elements, thereby leading to a phase shift that tends to zero, as the energy goes to zero, instead of to a constant. We consider two particles interacting with binary repulsive step potentials, one acting as a spectator, and solve analytically for the adiabatic eigenvalues and eigenvectors, for all values of rho. We are thereby able to obtain the leading terms in the long range behaviour of the effective potentials, and confirm its inverse logarithmic nature, suggested from a previous numerical study.

Affiliated with

Also associated with

No associations

Rating

Analytical Expressions for a Hyperspherical Adiabatic Basis Three Particles in 2 Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analytical Expressions for a Hyperspherical Adiabatic Basis Three Particles in 2 Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical Expressions for a Hyperspherical Adiabatic Basis Three Particles in 2 Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-633011