2013
DOI: 10.1103/physrevc.88.044303
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Particle-number-conserving theory for nuclear pairing

Abstract: A microscopic theory for nuclear pairing is proposed through the generalized density matrix formalism. The analytical equations are as simple as that of the BCS theory, and could be solved within a similar computer time. The current theory conserves the exact particle number, and is valid at arbitrary pairing strength (including those below the BCS critical strength). These are the two main advantages over the conventional BCS theory. The theory is also of interests to other mesoscopic systems.

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Cited by 29 publications
(37 citation statements)
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“…Similar exact particle-number conserving approaches can be found in Refs. [33][34][35][36][37][38]. This paper is organized as follows.…”
Section: Introductionmentioning
confidence: 99%
“…Similar exact particle-number conserving approaches can be found in Refs. [33][34][35][36][37][38]. This paper is organized as follows.…”
Section: Introductionmentioning
confidence: 99%
“…Similar approaches with exactly conserved particle number when treating the paring correlations can be found in Refs. [70,71,72,73,74,75]. This paper is organized as follows.…”
Section: Introductionmentioning
confidence: 99%
“…One of the most successful theoretical and phenomenological approaches to date for understanding the properties of heavy-ion collisions involves numerically simulating the various stages of their evolution on an event-byevent basis, and using these simulations to make predictions which can be compared with experimental measurements of event-by-event heavy-ion observables. In particular, a great deal of attention has been paid in this regard to event-by-event fluctuations of observables related to radial flow ( p T ) [5,6], anisotropic flow (v n ) [7][8][9], total multiplicity (N ch ) [10][11][12], and so on. To extend the successes of this event-by-event hydrodynamic paradigm to include the HBT radii, then, clearly requires the ability to simulate HBT analyses on an event-by-event basis.…”
Section: Introductionmentioning
confidence: 99%
“…For the results presented in this paper, we take σ k = 10 −3 for all k. 8 This means that deviations of the fit from the data points in the small-q region (where the correlation function C( q (k) , K) is the largest) will make larger contributions to the total χ 2 of the fit than points in the large-q region (with the exception that we omit the point q = 0 from the fit, since it is not experimentally accessible, and its omission has a negligible effect on the fit radii). Our approach here differs from that adopted in most experimental analyses, which fit the quantity ln C( q (k) , K) − 1 instead of C( q (k) , K).…”
mentioning
confidence: 99%