Self-consistent calculation of the longitudinal NMR for the Balian-- Werthamer and Anderson--Brinkman--Morel states of superfluid $sup 3$He

Journal Article · Mon Dec 01 04:00:00 EST 1975 · J. Low Temp. Phys., v. 21, no. 5/6, pp. 645-667

DOI:https://doi.org/10.1007/BF01141616· OSTI ID:4137892

Tewordt, L; Fay, D; Doerre, P; Einzel, D

The general equations of motion for the Green's functions and correlation functions and the associated conservation laws for an anisotropic superfluid are derived. This leads to a simple commutator relation for the total angular momentum of the system and the p-wave pair amplitude. The longitudinal NMR frequencies for both the Balian--Werthamer (BW) and Anderson--Brinkman--Morel (ABM) states are calculated rigorously within the self-consistent random phase approximation scheme, taking account of all the degrees of freedom of the complex fluctuations of the order parameter (18 components) and their couplings via the dipole interactions. The results for the low-frequency resonances ($omega$ much less than $delta$) are in agreement with those of Leggett except in the vicinity of T/sub c/. In addition, in the presence of the dipole interaction, we find longitudinal resonances at $omega$ = (8/5)/sup 1/2/$delta$ and $omega$ = 2/sup 1/ 2/$delta$ for the BW and ABM states, respectively. (2 figures) (auth)

• Research Organization: Univ., Hamburg
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-008316
• OSTI ID: 4137892
• Journal Information: J. Low Temp. Phys., v. 21, no. 5/6, pp. 645-667, Journal Name: J. Low Temp. Phys., v. 21, no. 5/6, pp. 645-667; ISSN JLTPA
• Country of Publication: United States
• Language: English

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