Lifetime of Scattering of Quasiparticles by Dipolons for Muon Spin Relaxation Rates in High Temperature Superconductors via Dipolon Theory*

Ram R. Sharma,

 

University of Illinois at Chicago.

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Category: Superconductivity (Theoretical)

Presentation: Oral

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 ABSTRACT

ABSTRACT

We have investigated the mean lifetime of scattering of quasiparticles (QPs) by dipolons required to explain the muon spin relaxation rate (MSRR)

[1] in $YBa_2Cu_3O_{7-\delta}$  utilizing the dipolon theory

[2-5].Previously, we predicted first of all two new high energy kinks which were  observed later on. 

The theory uses the four momenta space diagrams in the dressed particle picture involvingthe QP Green's function, the dipolon propagator and screened electron-dipolon vertexThe evaluation of the self-energy reveals three processes are important:

(1)A QP  is annihilated and a dipolon   and a QP  are created.

 (2)A QP   and a dipolon are annihilated and a QP  is createdand

 (3)Two QPs  are annihilatedand a dipolon  

is created.

(1) R. R. Sharma, "Theory of Dipolon 

...",  

Physipoetics Press,Lake Barrington, IL, 2021.

(2)  R. R. Sharma, Phy. Rev. {\bf B 63}, 054506 (2001).

(3) R. R. Sharma, Physica {\bf C 439}, 47 (2006).

(4) R. R. Sharma, Physica {\bf C 468}, 190 (2008).

(5) R. R. Sharma, "Dipolon Theory of Kink Structure

...",  in "Superconducting ...", Ed. K. N. Courtlandt,

 P. 81-100, Nova Sc, Pub., Inc., New York, 2009.

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