859 research outputs found

    Neutron19-^{19}C scattering near an Efimov state

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    The low-energy neutron19-^{19}C scattering in a neutron-neutron-core model is studied with large scattering lengths near the conditions for the appearance of an Efimov state. We show that the real part of the elastic ss-wave phase-shift (δ0R\delta_0^R) presents a zero, or a pole in kcotδ0R k\cot\delta_0^{R}, when the system has an Efimov excited or virtual state. More precisely the pole scales with the energy of the Efimov state (bound or virtual). We perform calculations in the limit of large scattering lengths, disregarding the interaction range, within a renormalized zero-range approach using subtracted equations. It is also presented a brief discussion of these findings in the context of ultracold atom physics with tunable scattering lengths

    Instantons and Matter in N=1/2 Supersymmetric Gauge Theory

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    We extend the instanton calculus for N=1/2 U(2) supersymmetric gauge theory by including one massless flavor. We write the equations of motion at leading order in the coupling constant and we solve them exactly in the non(anti)commutativity parameter C. The profile of the matter superfield is deformed through linear and quadratic corrections in C. Higher order corrections are absent because of the fermionic nature of the back-reaction. The instanton effective action, in addition to the usual 't Hooft term, includes a contribution of order C^2 and is N=1/2 invariant. We argue that the N=1 result for the gluino condensate is not modified by the presence of the new term in the effective action.Comment: 33 pages, harvmac; v2: minor changes, added references; v3: added analysis of the instanton measure in section

    The Highly Ionized Circumgalactic Medium is Kinematically Uniform around Galaxies

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    Large scale structure and cosmolog

    Low-Energy Universality in Atomic and Nuclear Physics

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    An effective field theory developed for systems interacting through short-range interactions can be applied to systems of cold atoms with a large scattering length and to nucleons at low energies. It is therefore the ideal tool to analyze the universal properties associated with the Efimov effect in three- and four-body systems. In this "progress report", we will discuss recent results obtained within this framework and report on progress regarding the inclusion of higher order corrections associated with the finite range of the underlying interaction.Comment: Commissioned article for Few-Body Systems, 47 pp, 16 fig

    Efimov Trimers near the Zero-crossing of a Feshbach Resonance

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    Near a Feshbach resonance, the two-body scattering length can assume any value. When it approaches zero, the next-order term given by the effective range is known to diverge. We consider the question of whether this divergence (and the vanishing of the scattering length) is accompanied by an anomalous solution of the three-boson Schr\"odinger equation similar to the one found at infinite scattering length by Efimov. Within a simple zero-range model, we find no such solutions, and conclude that higher-order terms do not support Efimov physics.Comment: 8 pages, no figures, final versio

    Scaling predictions for radii of weakly bound triatomic molecules

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    The mean-square radii of the molecules 4^4He3_3, 4^4He26_2-^6Li, 4^4He27_2-^7Li and 4^4He223_2-^{23}Na are calculated using a three-body model with contact interactions. They are obtained from a universal scaling function calculated within a renormalized scheme for three particles interacting through pairwise Dirac-delta interaction. The root-mean-square distance between two atoms of mass mAm_A in a triatomic molecule are estimated to be of de order of C2/[mA(E3E2)]{\cal C}\sqrt{\hbar^2/[m_A(E_3-E_2)]}, where E2E_2 is the dimer and E3E_3 the trimer binding energies, and C{\cal C} is a constant (varying from 0.6\sim 0.6 to 1\sim 1) that depends on the ratio between E2E_2 and E3E_3. Considering previous estimates for the trimer energies, we also predict the sizes of Rubidium and Sodium trimers in atomic traps.Comment: 7 pages, 2 figure
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