1,387 research outputs found

    Benchmark calculations for elastic fermion-dimer scattering

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    We present continuum and lattice calculations for elastic scattering between a fermion and a bound dimer in the shallow binding limit. For the continuum calculation we use the Skorniakov-Ter-Martirosian (STM) integral equation to determine the scattering length and effective range parameter to high precision. For the lattice calculation we use the finite-volume method of L\"uscher. We take into account topological finite-volume corrections to the dimer binding energy which depend on the momentum of the dimer. After subtracting these effects, we find from the lattice calculation kappa a_fd = 1.174(9) and kappa r_fd = -0.029(13). These results agree well with the continuum values kappa a_fd = 1.17907(1) and kappa r_fd = -0.0383(3) obtained from the STM equation. We discuss applications to cold atomic Fermi gases, deuteron-neutron scattering in the spin-quartet channel, and lattice calculations of scattering for nuclei and hadronic molecules at finite volume.Comment: 16 pages, 5 figure

    A quotient of the Lubin-Tate tower II

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    In this article we construct the quotient M_1/P(K) of the infinite-level Lubin-Tate space M_1 by the parabolic subgroup P(K) of GL(n,K) of block form (n-1,1) as a perfectoid space, generalizing results of one of the authors (JL) to arbitrary n and K/Q_p finite. For this we prove some perfectoidness results for certain Harris-Taylor Shimura varieties at infinite level. As an application of the quotient construction we show a vanishing theorem for Scholze's candidate for the mod p Jacquet-Langlands and the mod p local Langlands correspondence. An appendix by David Hansen gives a local proof of perfectoidness of M_1/P(K) when n = 2, and shows that M_1/Q(K) is not perfectoid for maximal parabolics Q not conjugate to P.Comment: with an appendix by David Hanse

    Confirmation of Parity Violation in the Gamma Decay of 180Hfm^{180}Hf^{m}

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    This paper reports measurements using the technique of On Line Nuclear Orientation (OLNO) which reexamine the gamma decay of isomeric 180^{\rm 180}Hfm^{\rm m} and specifically the 501 keV 8^{\rm -} -- 6+^{\rm +} transition. The irregular admixture of E2 to M2/E3 multipolarity in this transition, deduced from the forward-backward asymmetry of its angular distribution, has for decades stood as the prime evidence for parity mixing in nuclear states. The experiment, based on ion implantation of the newly developed mass-separated 180^{\rm 180}Hfm^{\rm m} beam at ISOLDE, CERN into an iron foil maintained at millikelvin temperatures, produces higher degrees of polarization than were achieved in previous studies of this system. The value found for the E2/M2 mixing ratio, ϵ\epsilon = -0.0324(16)(17), is in close agreement with the previous published average value ϵ\epsilon = - 0.030(2), in full confirmation of the presence of the irregular E2 admixture in the 501 keV transition. The temperature dependence of the forward-backward asymmetry has been measured over a more extended range of nuclear polarization than previously possible, giving further evidence for parity mixing of the 8^{\rm -} and 8+^{\rm +} levels and the deduced E2/M2 mixing ratio.Comment: 28 pages, 9 figures, accepted for publication in Physical Review

    Solar Fusion Cross Sections

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    We review and analyze the available information for nuclear fusion cross sections that are most important for solar energy generation and solar neutrino production. We provide best values for the low-energy cross-section factors and, wherever possible, estimates of the uncertainties. We also describe the most important experiments and calculations that are required in order to improve our knowledge of solar fusion rates.Comment: LaTeX file, 48 pages (figures not included). To appear in Rev. Mod. Phys., 10/98. All authors now listed. Full postscript version with figures available at http://www.sns.ias.edu/~jnb/Papers/Preprints/nuclearfusion.htm

    Magnetic Moment of the Fragmentation Aligned 61Fe(9/2)+ Isomer

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    We report on the g factor measurement of the isomer in 61Fe^{61}Fe (E=861keVE^{*}=861 keV). The isomer was produced and spin-aligned via a projectile-fragmentation reaction at intermediate energy, the Time Dependent Perturbed Angular Distribution (TDPAD) method being used for the measurement of the g factor. For the first time, due to significant improvements of the experimental technique, an appreciable residual alignment of the isomer has been observed, allowing a precise determination of its g factor: g=0.229(2)g=-0.229(2). Comparison of the experimental g factor with shell-model and mean field calculations confirms the 9/2+9/2^+ spin and parity assignments and suggests the onset of deformation due to the intrusion of Nilsson orbitals emerging from the νg9/2\nu g_{9/2}.Comment: 4 figures. Submitted to Phys. Rev. Let

    Legal geographies of irregular migration : An outlook on immigration detention

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    In this article, I discuss legal geographies of irregular migration, drawing on a case study on immigration detention in Finland. Based on analysis of detention records, four different types of legal geographies are identified, relating to south–north movement of third‐country nationals inside Europe, criminalised Eastern European EU citizens, irregularity during the asylum process (in particular, related to the Dublin Regulation) and irregularly residing foreign nationals, including deportable long‐term residents. The analysis focuses on the relations between space, law and persons during detainees' irregular migration trajectories, paying attention to their varying entry routes, residence times, legal grounds for removal and detention and removal countries. I argue for the need for empirically contextualised analysis that addresses the complex relations between law and geography beyond a particular national context, in order to better understand the dynamics of irregular migration in all its variety.In this article, I discuss legal geographies of irregular migration, drawing on a case study on immigration detention in Finland. Based on analysis of detention records, four different types of legal geographies are identified, relating to south–north movement of third‐country nationals inside Europe, criminalised Eastern European EU citizens, irregularity during the asylum process (in particular, related to the Dublin Regulation) and irregularly residing foreign nationals, including deportable long‐term residents. The analysis focuses on the relations between space, law and persons during detainees' irregular migration trajectories, paying attention to their varying entry routes, residence times, legal grounds for removal and detention and removal countries. I argue for the need for empirically contextualised analysis that addresses the complex relations between law and geography beyond a particular national context, in order to better understand the dynamics of irregular migration in all its variety.Peer reviewe
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