Scattering amplitude of ultracold atoms near the p-wave magnetic Feshbach resonance

Journal Article · Wed Dec 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.062712· OSTI ID:21528893

Peng, Zhang ^[1]; Naidon, Pascal ^[1]; Ueda, Masahito ^[1]

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1. Exploratory Research for Advanced Technology, Macroscopic Quantum Project, Japan Science and Technology, Tokyo 113-8656 (Japan)

Most of the current theories on the p-wave superfluid in cold atomic gases are based on the effective-range theory for the two-body scattering, where the low-energy p-wave scattering amplitude f{sub 1}(k) is given by f{sub 1}(k)=-1/[ik+1/(Vk{sup 2})+1/R]. Here k is the incident momentum, V and R are the k-independent scattering volume and effective range, respectively. However, due to the long-range nature of the van der Waals interaction between two colliding ultracold atoms, the p-wave scattering amplitude of the two atoms is not described by the effective-range theory [J. Math. Phys. 4, 54 (1963); Phys. Rev. A 58, 4222 (1998)]. In this paper we provide an explicit calculation for the p-wave scattering of two ultracold atoms near the p-wave magnetic Feshbach resonance. We show that in this case the low-energy p-wave scattering amplitude f{sub 1}(k)=-1/[ik+1/(V{sup eff}k{sup 2})+1/(S{sup eff}k)+1/R{sup eff}] where V{sup eff}, S{sup eff}, and R{sup eff} are k-dependent parameters. Based on this result, we identify sufficient conditions for the effective-range theory to be a good approximation of the exact scattering amplitude. Using these conditions we show that the effective-range theory is a good approximation for the p-wave scattering in the ultracold gases of {sup 6}Li and {sup 40}K when the scattering volume is enhanced by the resonance.

• OSTI ID: 21528893
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AMPLITUDES
APPROXIMATIONS
ATOMS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BETA-PLUS DECAY RADIOISOTOPES
CALCULATION METHODS
EFFECTIVE RANGE THEORY
ELECTRON CAPTURE RADIOISOTOPES
FLUIDS
GASES
INELASTIC SCATTERING
ISOMERIC TRANSITION ISOTOPES
ISOTOPES
LIGHT NUCLEI
LITHIUM 6
LITHIUM ISOTOPES
MANY-BODY PROBLEM
NANOSECONDS LIVING RADIOISOTOPES
NUCLEI
ODD-ODD NUCLEI
P WAVES
PARTIAL WAVES
POTASSIUM 40
POTASSIUM ISOTOPES
RADIOISOTOPES
RESCATTERING
RESONANCE
RESONANCE SCATTERING
SCATTERING
SCATTERING AMPLITUDES
STABLE ISOTOPES
SUPERFLUIDITY
TWO-BODY PROBLEM
VAN DER WAALS FORCES
YEARS LIVING RADIOISOTOPES