Properties of Pseudopotentials for Higher Partial Waves

Macek, J. H.; Sternberg, James

doi:10.1103/physrevlett.97.023201

Cited by 26 publications

(28 citation statements)

References 17 publications

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“…Comparing Eqs. (162) and (163), order by order in the momentum k, we can express the Coulomb-modified scattering length and effective range in terms of the low-energy coupling constants g σ and ∆ σ 1…”

Section: Renormalizationmentioning

confidence: 99%

Effective field theory description of halo nuclei

Hammer

Chen

Phillips

2017

J. Phys. G: Nucl. Part. Phys.

180

238

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Abstract. Nuclear halos emerge as new degrees of freedom near the neutron and proton driplines. They consist of a core and one or a few nucleons which spend most of their time in the classically-forbidden region outside the range of the interaction. Individual nucleons inside the core are thus unresolved in the halo configuration, and the low-energy effective interactions are short-range forces between the core and the valence nucleons. Similar phenomena occur in clusters of 4 He atoms, cold atomic gases near a Feshbach resonance, and some exotic hadrons. In these weakly-bound quantum systems universal scaling laws for s-wave binding emerge that are independent of the details of the interaction. Effective field theory (EFT) exposes these correlations and permits the calculation of non-universal corrections to them due to short-distance effects, as well as the extension of these ideas to systems involving the Coulomb interaction and/or binding in higher angular-momentum channels. Halo nuclei exhibit all these features. Halo EFT, the EFT for halo nuclei, has been used to compute the properties of single-neutron, two-neutron, and single-proton halos of s-wave and p-wave type. This review summarizes these results for halo binding energies, radii, Coulomb dissociation, and radiative capture, as well as the connection of these properties to scattering parameters, thereby elucidating the universal correlations between all these observables. We also discuss how Halo EFT's encoding of the long-distance physics of halo nuclei can be used to check and extend ab initio calculations that include detailed modeling of their short-distance dynamics.arXiv:1702.08605v2 [nucl-th] 5 Nov 2017 EFT for halo nuclei 2

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Section: Renormalizationmentioning

confidence: 99%

Effective field theory description of halo nuclei

Hammer

Chen

Phillips

2017

J. Phys. G: Nucl. Part. Phys.

180

238

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“…For the sake of generality, in some cases it is suitable to consider also a system of few non-interacting identical bosons and a distinct particle. It is worthwhile to mention that the p-wave interactions between fermions may be also important, in particular, an infinite number of the 1 + bound states was predicted [13] for three identical fermions.…”

Section: Introductionmentioning

confidence: 99%

Recent advances in description of few two-component fermions

Kartavtsev

Malykh

2014

Phys. Atom. Nuclei

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Overview of the recent advances in description of the few two-component fermions is presented.The model of zero-range interaction is generally considered to discuss the principal aspects of the few-body dynamics. Particular attention is paid to detailed description of two identical fermions of mass m and a distinct particle of mass m 1 : it turns out that two L P = 1 − three-body bound states emerge if mass ratio m/m 1 increases up to the critical value µ c ≈ 13.607, above which the Efimov effect takes place. The topics considered include rigorous treatment of the few-fermion problem in the zero-range interaction limit, low-dimensional results, the four-body energy spectrum, crossover of the energy spectra for m/m 1 near µ c , and properties of potential-dependent states. At last, enlisted are the problems, whose solution is in due course.PACS numbers:

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“…The p-wave Feshbach molecules have also been created and studied in the gases of 40 K [6,7] and 6 Li [8,[10][11][12]. These experimental achievements stimulate theoretical researches on the quantum superfluid in ultracold atomic gases with strong p-wave interactions , as well as the relevant few-body problems [52][53][54][55][56][57][58][59][60][61][62][63][64][65].…”

Section: Introductionmentioning

confidence: 99%

Scattering amplitude of ultracold atoms near thep-wave magnetic Feshbach resonance

Zhang

Naidon²,

Ueda

2010

Phys. Rev. A

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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 f1(k) is given by f1(k) = −1/[ik + 1/(Vk 2 ) + 1/R], where k is the incident momentum, and 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 [1, 2]. In this paper we provide an explicit calculation for the p-wave scattering of two ultracold atoms near the p-wave magnetic Feshbach resonance (PMFR). We show that the low energy pwave scattering amplitude in the presence of PMFR takes the form f1(where V eff , S eff and R eff are k-dependent parameters. Based on this result, we show 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 6 Li and 40 K when the scattering volume is enhanced by the resonance.

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Properties of Pseudopotentials for Higher Partial Waves

Cited by 26 publications

References 17 publications

Effective field theory description of halo nuclei

Effective field theory description of halo nuclei

Recent advances in description of few two-component fermions

Scattering amplitude of ultracold atoms near thep-wave magnetic Feshbach resonance

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