Effective astrophysical<b><i>S</i></b>factor for nonresonant reactions

Ueda, Masahito; Sargeant, Adam James; Pato, M. P.; Hussein, M. S.

doi:10.1103/physrevc.61.045801

Cited by 11 publications

(11 citation statements)

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“…With a supply of atoms from an external source the condensate can grow again and thus a series of collapses can take place, which was observed experimentally in the BEC of 7 Li with attractive interaction [4]. Theoretical analyses based on the time-dependent mean-field Gross-Pitaevskii (GP) equation also confirm the collapse [6][7][8][9][10][11].…”

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confidence: 65%

Dynamics of collapsing and exploding Bose–Einstein condensate

Adhikari

2002

Physics Letters A

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Recently, Donley et al. performed an experiment on the dynamics of collapsing and exploding Bose-Einstein condensates by suddenly changing the scattering length of atomic interaction to a large negative value on a preformed repulsive condensate of 85 Rb atoms in an axially symmetric trap. Consequently, the condensate collapses and ejects atoms via explosions. We show that the accurate numerical solution of the time-dependent Gross-Pitaevskii equation with axial symmetry can explain some aspects of the dynamics of the collapsing condensate.

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confidence: 65%

Dynamics of collapsing and exploding Bose–Einstein condensate

Adhikari

2002

Physics Letters A

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“…[5] we developed an asymptotic expansion for the thermonuclear reaction rate in terms of the effective astrophysical S factor S eff using the method of Dingle [6]. It may used in case cases where S͑E͒ can be reliably expanded as a Taylor series.…”

Section: Introductionmentioning

confidence: 99%

“…[5] is limited by the radii of convergence of the Taylor series expansions of S͑E͒, that is, by the location of the poles of S͑E͒. The poles may be due bound states of the composite nucleus.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we modify the method of Ref. [5] to obtain an asymptotic expansion of the thermonuclear reaction rate for charged particles for the case that the cross section contains a single narrow or wide resonance described by a Breit-Wigner shape. Our result is uniformly valid as the resonance and Gamow peak coalesce or separate and as the resonance width is varied from narrow to broad.…”

Section: Introductionmentioning

confidence: 99%

“…͑26͒Equation(24)is the zeroth-order term of an asymptotic expansion of I G in powers of 1 /[5]. For the reaction rate one thus obtains…”

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confidence: 99%

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Resonances and thermonuclear reaction rates for charged particle collisions

et al. 2004

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We derive an approximate analytic expression for thermonuclear reaction rate for charged particles for the case that the cross section contains a single narrow or broad resonance described by a Breit-Wigner shape. An asymptotic series is obtained by making a Taylor series expansion which is exact at both the effective energy of the Gamow window and at the resonance energy. The resulting expression is uniformly valid as the effective energy and resonance energy coalesce or separate and as the resonance width is varied from narrow to broad. This is not true of conventional analytic approximations. We compare our uniform approximation with the exact reaction rate numerically and find it to be accurate over a large parameter range. We use our expressions to calculate the reaction rate for 12 C͑p , ␥͒ 13 N.

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Numerical Evaluation of Integrals and Derivatives

Shizgal

2015

Scientific Computation

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Effective astrophysicalSfactor for nonresonant reactions

Cited by 11 publications

References 5 publications

Dynamics of collapsing and exploding Bose–Einstein condensate

Dynamics of collapsing and exploding Bose–Einstein condensate

Resonances and thermonuclear reaction rates for charged particle collisions

Numerical Evaluation of Integrals and Derivatives

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