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Braaten, Eric
Ohio State University (United States). Funding organisation: USDOE SC Office of Basic Energy Sciences (United States)2012
Ohio State University (United States). Funding organisation: USDOE SC Office of Basic Energy Sciences (United States)2012
AbstractAbstract
[en] The focus of this research project was atoms with scattering lengths that are large compared to the range of their interactions and which therefore exhibit universal behavior at sufficiently low energies. Recent dramatic advances in cooling atoms and in manipulating their scattering lengths have made this phenomenon of practical importance for controlling ultracold atoms and molecules. This research project was aimed at developing a systematically improvable method for calculating few-body observables for atoms with large scattering lengths starting from the universal results as a first approximation. Significant progress towards this goal was made during the five years of the project.
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31 May 2012; 4 p; FG02-05ER15715; Also available from OSTI as DE01041319; PURL: https://www.osti.gov/servlets/purl/1041319/; doi 10.2172/1041319
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[en] The constraining power of the present experimental data, combined with the general theoretical knowledge about ππ scattering upon the scattering lengths of this process is investigated by means of a rigorous functional method. We take as input the experimental phase shifts and make no hypotheses about the high energy behaviour of the amplitudes, using only absolute bounds derived from axiomatic field theory and exact consequences of crossing symmetry. In the simplest application of the method, involving only the π0π0 S-wave, we explored numerically a number of values proposed by various authors for the scattering lengths a0 and a2 and found that no one appears to be especially favoured. (author)
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22 refs.
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Journal Article
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Revue Roumaine de Physique; ISSN 0035-4090;
; v. 25(4); p. 327-339

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Adhikari, S K, E-mail: Adhikari@ift.unesp.br2018
AbstractAbstract
[en] The textbook effective-range expansion of scattering theory is useful in the analysis of low-energy scattering phenomenology when the scattering length is much larger than the range R of the scattering potential: . Nevertheless, the same has been used for systems where the scattering length is much smaller than the range of the potential. We suggest and numerically study an effective-range expansion for as well as improved two-parameter effective-range expansions for the cases and . The improved effective-range expansions for and reduce to the expansions for and , respectively, in appropriate limits. (paper)
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Available from http://dx.doi.org/10.1088/1361-6404/aad620; Country of input: International Atomic Energy Agency (IAEA)
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[en] Short communication
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Sukhovoj, A.M. (ed.); Joint Inst. for Nuclear Research, Dubna (Russian Federation); 75 p; 1995; p. 52; JINR; Dubna (Russian Federation); ISINN-3: 3. International Seminar on Interaction of Neutrons with Nuclei; Dubna (Russian Federation); 26-28 Apr 1995
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AbstractAbstract
[en] Published in summary form only
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Nuclear physics spring meeting of the Deutsche Physikalische Gesellschaft e.V. (DPG); Fruehjahrstagung des Fachausschusses Physik der Hadronen und Kerne der Deutschen Physikalischen Gesellschaft e.V. (DPG); Strasbourg (France); 26-30 Mar 1990
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Verhandlungen der Deutschen Physikalischen Gesellschaft; ISSN 0420-0195;
; CODEN VDPEA; v. 25(5); p. 1456

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AbstractAbstract
[en] For small values of the scattering length α (vertical strokeαvertical stroke approx.= 0) the effective range function kcot delta shows a pole for small k2. The usual effective range expansion cannot produce such a pole. We provide an alternative expansion which reduces to the usual one for vertical strokeαvertical stroke > 0 and shows a pole for vertical strokeαvertical stroke approx.= 0. The present expansion explains the low energy properties of the S-wave spin-doublet trinucleon system and in particular the linear correlation between the trinucleon energy and the neutron-deuteron scattering length. (orig.)
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Phys. Lett., B; ISSN 0370-2693;
; v. 119(4-6); p. 245-248

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[en] An effective field theory for the three-body system with large two-body scattering length a is applied to three-body recombination into deep bound states in a Bose gas. The recombination constant α is calculated to first order in the short-distance interactions that allow the recombination. For a<0 , the dimensionless combination mα/(ℎa4) is a periodic function of ln< hspace SPACE=''-0.167''>|a| that exhibits resonances at values of a that differ by multiplicative factors of 22.7. This dramatic behavior should be observable near a Feshbach resonance when a becomes large and negative
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FG02-91ER4069; Othernumber: PRLTAO000087000016160407000001; 037142PRL
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Journal Article
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Physical Review Letters; ISSN 0031-9007;
; v. 87(16); p. 160407-160407.4

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Meng Hongjuan; Gou Xueqiang; Wang Wenyuan; Yang Yang; Duan Wenshan, E-mail: gouxueqiang@nwnu.edu.cn, E-mail: duanws@nwnu.edu.cn2012
AbstractAbstract
[en] The nonlinear Ramsey interferometry of Fermi superfluid gases in a double-well potential is investigated in this paper. We found that the frequency of the Ramsey fringes exactly reflects the strength of nonlinearity, or the scattering length of the Fermi superfluid gases. The cases of sudden limit, the adiabatic limit and the general case are studied. The analytical result is in good agreement with the numerical ones. The adiabatic condition is proposed. In general situation, the zero-frequency point emerge. Finally the possible applications of the theory are discussed. (general)
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Available from http://dx.doi.org/10.1088/0253-6102/57/6/12; Country of input: International Atomic Energy Agency (IAEA)
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Communications in Theoretical Physics; ISSN 0253-6102;
; v. 57(6); p. 1007-1011

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AbstractAbstract
[en] Short communication
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Source
Sukhovoj, A.M. (ed.); Joint Inst. for Nuclear Research, Dubna (Russian Federation); 75 p; 1995; p. 51; JINR; Dubna (Russian Federation); ISINN-3: 3. International Seminar on Interaction of Neutrons with Nuclei; Dubna (Russian Federation); 26-28 Apr 1995
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Rauch, H.; Woelwitsch, H.
1984 Annual meeting of the Austrian Physical Society, Montanistic University Leoben, 24 - 28 September 19841984
1984 Annual meeting of the Austrian Physical Society, Montanistic University Leoben, 24 - 28 September 19841984
AbstractAbstract
No abstract available
Original Title
Praezisionsmessung der Neutron-Tritium Streulaenge
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Oesterreichische Physikalische Gesellschaft, Vienna; Montanuniversitaet Leoben (Austria). Inst. fuer Physik; 140 p; 1984; p. 126; 1984 Annual meeting of the Austrian Physical Society; Leoben (Austria); 24-28 Sep 1984; Published in summary form only.
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