Phys. Rev. D
76,
082003
(2007)
[11 pages]
Upper limit map of a background of gravitational waves
B. Abbott et al. LIGO Scientific Collaboration
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B. Abbott14, R. Abbott14, R. Adhikari14, J. Agresti14, P. Ajith2, B. Allen2,51, R. Amin18, S. B. Anderson14, W. G. Anderson51, M. Arain39, M. Araya14, H. Armandula14, M. Ashley4, S. Aston38, P. Aufmuth36, C. Aulbert1, S. Babak1, S. Ballmer14, H. Bantilan8, B. C. Barish14, C. Barker15, D. Barker15, B. Barr40, P. Barriga50, M. A. Barton40, K. Bayer17, K. Belczynski24, J. Betzwieser17, P. T. Beyersdorf27, B. Bhawal14, I. A. Bilenko21, G. Billingsley14, R. Biswas51, E. Black14, K. Blackburn14, L. Blackburn17, D. Blair50, B. Bland15, J. Bogenstahl40, L. Bogue16, R. Bork14, V. Boschi14, S. Bose52, P. R. Brady51, V. B. Braginsky21, J. E. Brau43, M. Brinkmann2, A. Brooks37, D. A. Brown14,6, A. Bullington30, A. Bunkowski2, A. Buonanno41, O. Burmeister2, D. Busby14, R. L. Byer30, L. Cadonati17, G. Cagnoli40, J. B. Camp22, J. Cannizzo22, K. Cannon51, C. A. Cantley40, J. Cao17, L. Cardenas14, M. M. Casey40, G. Castaldi46, C. Cepeda14, E. Chalkey40, P. Charlton9, S. Chatterji14, S. Chelkowski2, Y. Chen1, F. Chiadini45, D. Chin42, E. Chin50, J. Chow4, N. Christensen8, J. Clark40, P. Cochrane2, T. Cokelaer7, C. N. Colacino38, R. Coldwell39, R. Conte45, D. Cook15, T. Corbitt17, D. Coward50, D. Coyne14, J. D. E. Creighton51, T. D. Creighton14, R. P. Croce46, D. R. M. Crooks40, A. M. Cruise38, A. Cumming40, J. Dalrymple31, E. D’Ambrosio14, K. Danzmann36,2, G. Davies7, D. DeBra30, J. Degallaix50, M. Degree30, T. Demma46, V. Dergachev42, S. Desai32, R. DeSalvo14, S. Dhurandhar13, M. Díaz33, J. Dickson4, A. Di Credico31, G. Diederichs36, A. Dietz7, E. E. Doomes29, R. W. P. Drever5, J.-C. Dumas50, R. J. Dupuis14, J. G. Dwyer10, P. Ehrens14, E. Espinoza14, T. Etzel14, M. Evans14, T. Evans16, S. Fairhurst7,14, Y. Fan50, D. Fazi14, M. M. Fejer30, L. S. Finn32, V. Fiumara45, N. Fotopoulos51, A. Franzen36, K. Y. Franzen39, A. Freise38, R. Frey43, T. Fricke44, P. Fritschel17, V. V. Frolov16, M. Fyffe16, V. Galdi46, J. Garofoli15, I. Gholami1, J. A. Giaime16,18, S. Giampanis44, K. D. Giardina16, K. Goda17, E. Goetz42, L. M. Goggin14, G. González18, S. Gossler4, A. Grant40, S. Gras50, C. Gray15, M. Gray4, J. Greenhalgh26, A. M. Gretarsson11, R. Grosso33, H. Grote2, S. Grunewald1, M. Guenther15, R. Gustafson42, B. Hage36, D. Hammer51, C. Hanna18, J. Hanson16, J. Harms2, G. Harry17, E. Harstad43, T. Hayler26, J. Heefner14, I. S. Heng40, A. Heptonstall40, M. Heurs2, M. Hewitson2, S. Hild36, E. Hirose31, D. Hoak16, D. Hosken37, J. Hough40, E. Howell50, D. Hoyland38, S. H. Huttner40, D. Ingram15, E. Innerhofer17, M. Ito43, Y. Itoh51, A. Ivanov14, D. Jackrel30, B. Johnson15, W. W. Johnson18, D. I. Jones47, G. Jones7, R. Jones40, L. Ju50, P. Kalmus10, V. Kalogera24, D. Kasprzyk38, E. Katsavounidis17, K. Kawabe15, S. Kawamura23, F. Kawazoe23, W. Kells14, D. G. Keppel14, F. Ya. Khalili21, C. Kim24, P. King14, J. S. Kissel18, S. Klimenko39, K. Kokeyama23, V. Kondrashov14, R. K. Kopparapu18, D. Kozak14, B. Krishnan1, P. Kwee36, P. K. Lam4, M. Landry15, B. Lantz30, A. Lazzarini14, B. Lee50, M. Lei14, J. Leiner52, V. Leonhardt23, I. Leonor43, K. Libbrecht14, P. Lindquist14, N. A. Lockerbie48, M. Longo45, M. Lormand16, M. Lubinski15, H. Lück2,36, B. Machenschalk1, M. MacInnis17, M. Mageswaran14, K. Mailand14, M. Malec36, V. Mandic14, S. Marano45, S. Márka10, J. Markowitz17, E. Maros14, I. Martin40, J. N. Marx14, K. Mason17, L. Matone10, V. Matta45, N. Mavalvala17, R. McCarthy15, D. E. McClelland4, S. C. McGuire29, M. McHugh20, K. McKenzie4, J. W. C. McNabb32, S. McWilliams22, T. Meier36, A. Melissinos44, G. Mendell15, R. A. Mercer39, S. Meshkov14, E. Messaritaki14, C. J. Messenger40, D. Meyers14, E. Mikhailov17, S. Mitra13, V. P. Mitrofanov21, G. Mitselmakher39, R. Mittleman17, O. Miyakawa14, S. Mohanty33, G. Moreno15, K. Mossavi2, C. MowLowry4, A. Moylan4, D. Mudge37, G. Mueller39, S. Mukherjee33, H. Müller-Ebhardt2, J. Munch37, P. Murray40, E. Myers15, J. Myers15, G. Newton40, A. Nishizawa23, K. Numata22, B. O’Reilly16, R. O’Shaughnessy24, D. J. Ottaway17, H. Overmier16, B. J. Owen32, Y. Pan41, M. A. Papa1,51, V. Parameshwaraiah15, P. Patel14, M. Pedraza14, S. Penn12, V. Pierro46, I. M. Pinto46, M. Pitkin40, H. Pletsch2, M. V. Plissi40, F. Postiglione45, R. Prix1, V. Quetschke39, F. Raab15, D. Rabeling4, H. Radkins15, R. Rahkola43, N. Rainer2, M. Rakhmanov32, K. Rawlins17, S. Ray-Majumder51, V. Re38, H. Rehbein2, S. Reid40, D. H. Reitze39, L. Ribichini2, R. Riesen16, K. Riles42, B. Rivera15, N. A. Robertson14,40, C. Robinson7, E. L. Robinson38, S. Roddy16, A. Rodriguez18, A. M. Rogan52, J. Rollins10, J. D. Romano7, J. Romie16, R. Route30, S. Rowan40, A. Rüdiger2, L. Ruet17, P. Russell14, K. Ryan15, S. Sakata23, M. Samidi14, L. Sancho de la Jordana35, V. Sandberg15, V. Sannibale14, S. Saraf25, P. Sarin17, B. S. Sathyaprakash7, S. Sato23, P. R. Saulson31, R. Savage15, P. Savov6, S. Schediwy50, R. Schilling2, R. Schnabel2, R. Schofield43, B. F. Schutz1,7, P. Schwinberg15, S. M. Scott4, A. C. Searle4, B. Sears14, F. Seifert2, D. Sellers16, A. S. Sengupta7, P. Shawhan41, D. H. Shoemaker17, A. Sibley16, J. A. Sidles49, X. Siemens6,14, D. Sigg15, S. Sinha30, A. M. Sintes1,35, B. J. J. Slagmolen4, J. Slutsky18, J. R. Smith2, M. R. Smith14, K. Somiya2,1, K. A. Strain40, D. M. Strom43, A. Stuver32, T. Z. Summerscales3, K.-X. Sun30, M. Sung18, P. J. Sutton14, H. Takahashi1, D. B. Tanner39, M. Tarallo14, R. Taylor14, R. Taylor40, J. Thacker16, K. A. Thorne32, K. S. Thorne6, A. Thüring36, K. V. Tokmakov40, C. Torres33, C. Torrie40, G. Traylor16, M. Trias35, W. Tyler14, D. Ugolini34, C. Ungarelli38, K. Urbanek30, H. Vahlbruch36, M. Vallisneri6, C. Van Den Broeck7, M. Varvella14, S. Vass14, A. Vecchio38, J. Veitch40, P. Veitch37, A. Villar14, C. Vorvick15, S. P. Vyachanin21, S. J. Waldman14, L. Wallace14, H. Ward40, R. Ward14, K. Watts16, D. Webber14, A. Weidner2, M. Weinert2, A. Weinstein14, R. Weiss17, S. Wen18, K. Wette4, J. T. Whelan1, D. M. Whitbeck32, S. E. Whitcomb14, B. F. Whiting39, C. Wilkinson15, P. A. Willems14, L. Williams39, B. Willke2,36, I. Wilmut26, W. Winkler2, C. C. Wipf17, S. Wise39, A. G. Wiseman51, G. Woan40, D. Woods51, R. Wooley16, J. Worden15, W. Wu39, I. Yakushin16, H. Yamamoto14, Z. Yan50, S. Yoshida28, N. Yunes32, M. Zanolin17, J. Zhang42, L. Zhang14, C. Zhao50, N. Zotov19, M. Zucker17, H. zur Mühlen36, and J. Zweizig14 (LIGO Scientific Collaboration)
1Albert-Einstein-Institut, Max-Planck-Institutfür Gravitationsphysik, D-14476 Golm, Germany 2Albert-Einstein-Institut, Max-Planck-Institutfür Gravitationsphysik, D-30167 Hannover, Germany 3Andrews University, Berrien Springs,Michigan 49104 USA 4Australian National University,Canberra, 0200, Australia 5California Institute of Technology,Pasadena, California 91125, USA 6Caltech-CaRT, Pasadena, California91125, USA 7Cardiff University, Cardiff, CF23YB, United Kingdom 8Carleton College, Northfield, Minnesota55057, USA 9Charles Sturt University, WaggaWagga, NSW 2678, Australia 10Columbia University, New York,New York 10027, USA 11Embry-Riddle Aeronautical University,Prescott, Arizona 86301 USA 12Hobart and William Smith Colleges,Geneva, New York 14456, USA 13Inter-University Centre for Astronomy and Astrophysics,Pune - 411007, India 14LIGO–California Institute of Technology,Pasadena, California 91125, USA 15LIGO Hanford Observatory, Richland,Washington 99352, USA 16LIGO Livingston Observatory, Livingston,Louisiana 70754, USA 17LIGO–Massachusetts Institute of Technology,Cambridge, Massachusetts 02139, USA 18Louisiana State University, BatonRouge, Louisiana 70803, USA 19Louisiana Tech University, Ruston,Louisiana 71272, USA 20Loyola University, New Orleans,Louisiana 70118, USA 21Moscow State University, Moscow,119992, Russia 22NASA/Goddard Space Flight Center,Greenbelt, Maryland 20771, USA 23National Astronomical Observatory of Japan,Tokyo 181-8588, Japan 24Northwestern University, Evanston,Illinois 60208, USA 25Rochester Institute of Technology,Rochester, New York 14623, USA 26Rutherford Appleton Laboratory,Chilton, Didcot, Oxon OX11 0QX United Kingdom 27San Jose State University, SanJose, California 95192, USA 28Southeastern Louisiana University,Hammond, Louisiana 70402, USA 29Southern University and A&MCollege, Baton Rouge, Louisiana 70813, USA 30Stanford University, Stanford,California 94305, USA 31Syracuse University, Syracuse,New York 13244, USA 32The Pennsylvania State University,University Park, Pennsylvania 16802, USA 33The University of Texas at Brownsville and TexasSouthmost College, Brownsville, Texas 78520, USA 34Trinity University, San Antonio,Texas 78212, USA 35Universitat de les Illes Balears,E-07122 Palma de Mallorca, Spain 36Universität Hannover, D-30167Hannover, Germany 37University of Adelaide, Adelaide,SA 5005, Australia 38University of Birmingham, Birmingham,B15 2TT, United Kingdom 39University of Florida, Gainesville,Florida 32611, USA 40University of Glasgow, Glasgow,G12 8QQ, United Kingdom 41University of Maryland, CollegePark, Maryland 20742 USA 42University of Michigan, Ann Arbor,Michigan 48109, USA 43University of Oregon, Eugene,Oregon 97403, USA 44University of Rochester, Rochester,New York 14627, USA 45University of Salerno, 84084 Fisciano(Salerno), Italy 46University of Sannio at Benevento,I-82100 Benevento, Italy 47University of Southampton, Southampton,SO17 1BJ, United Kingdom 48University of Strathclyde, Glasgow,G1 1XQ, United Kingdom 49University of Washington, Seattle,Washington, 98195, USA 50University of Western Australia,Crawley, WA 6009, Australia 51University of Wisconsin-Milwaukee,Milwaukee, Wisconsin 53201, USA 52Washington State University, Pullman,Washington 99164, USA
See Also:
Publisher's Note
Received 31 January 2007; published 29 October 2007; publisher error corrected 28 February 2008
We searched for an anisotropic background of gravitational waves usingdata from the LIGO S4 science run and a method that is optimizedfor point sources. This is appropriate if, for example, the gravitationalwave background is dominated by a small number of distinct astrophysical sources.No signal was seen. Upper limit maps were produced assuming two differentpower laws for the source strain power spectrum. For an f-3 power law and using the50 Hz to 1.8 kHz band the upper limits on the sourcestrain power spectrum vary between 1.2×10-48 Hz-1 (100 Hz/f)3 and 1.2×10-47 Hz-1 (100 Hz/f)3, depending on the position in the sky. Similarly,in the case of constant strain power spectrum, the upper limits vary between 8.5×10-49 Hz-1 and 6.1×10-48 Hz-1. As a side product a limiton an isotropic background of gravitational waves was also obtained. All limitsare at the 90% confidence level. Finally, as an application, we focused onthe direction of Sco-X1, the brightest low-mass x-ray binary. We compare theupper limit on strain amplitude obtained by this method to expectations basedon the x-ray flux from Sco-X1.
© 2007 The American Physical Society
URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.082003
DOI:
10.1103/PhysRevD.76.082003
PACS:
04.80.Nn, 02.50.Ey, 04.30.Db, 07.05.Kf
See Also
Publisher's Note:
B. Abbott et al. LIGO Scientific Collaboration,
Publisher’s Note: Upper limit map of a background of gravitational waves [Phys. Rev. D 76, 082003 (2007)],
Phys. Rev. D 77, 069903 (2008).
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