Abstract.
Singlet S -wave superfluidity of dilute neutron matter is studied within the correlated BCS method, which takes into account both pairing and short-range correlations. First, the equation of state (EOS) of normal neutron matter is calculated within the Correlated Basis Function (CBF) method in the lowest cluster order using the 1 S 0 and 3 P components of the Argonne \(V_{18}\) potential, assuming trial Jastrow-type correlation functions. The 1 S 0 superfluid gap is then calculated with the corresponding component of the Argonne \(V_{18}\) potential and the optimally determined correlation functions. The dependence of our results on the chosen forms for the correlation functions is studied, and the role of the P -wave channel is investigated. Where comparison is meaningful, the values obtained for the 1 S 0 gap within this simplified scheme are consistent with the results of similar and more elaborate microscopic methods.
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A. Gezerlis, C.J. Pethick, A. Schwenk, Novel Superfluids, Vol. 2 edited by K.H. Bennemann, J.B. Ketterson (Oxford University Press, 2014) chapt. 22
W. Becker (Editor), Neutron Stars and Pulsars, in Astrophysics and Space Science Library, Vol. 357 (Springer-Verlag Berlin Heidelberg, 2009)
P. Haensel, A.Y. Potekhin, D.G. Yakovlev (Editors), Neutron Stars 1: Equation of State and Structure, in Astrophysics and Space Science Library, Vol. 326 (Springer-Verlag New York, 2007)
S. Gandolfi, A. Gezerlis, J. Carlson, Annu. Rev. Nucl. Part. Sci. 65, 303 (2015)
W.C.G. Ho, K.G. Elshamouty, C.O. Heinke, A.Y. Potekhin, Phys. Rev. C 91, 015806 (2015)
V.A. Khodel, V.V. Khodel, J.W. Clark, Nucl. Phys. A 598, 390 (1996)
A. Schwenk, B. Friman, G.E. Brown, Nucl. Phys. A 713, 191 (2003)
S. Maurizio, J.W. Holt, P. Finelli, Phys. Rev. C 90, 044003 (2014)
C. Drischler, T. Krüger, K. Hebeler, A. Schwenk, Phys. Rev. C 95, 024302 (2017)
J. Wambach, T.L. Ainsworth, D. Pines, Nucl. Phys. A 555, 128 (1993)
H.J. Schulze, J. Cugnon, A. Lejeune, M. Baldo, U. Lombardo, Phys. Lett. B 375, 1 (1996)
L.G. Cao, U. Lombardo, P. Schuck, Phys. Rev. C 74, 064301 (2006)
J. Margueron, H. Sagawa, K. Hagino, Phys. Rev. C 77, 054309 (2008)
J.M.C. Chen, J.W. Clark, R.D. Davé, V.V. Khodel, Nucl. Phys. A 555, 59 (1993)
A. Fabrocini, S. Fantoni, A.Y. Illarionov, K.E. Schmidt, Phys. Rev. Lett. 95, 192501 (2005)
A. Fabrocini, S. Fantoni, A.Y. Illarionov, K.E. Schmidt, Nucl. Phys. A 803, 137 (2008)
H. Müther, W.H. Dickhoff, Phys. Rev. C 72, 054313 (2005)
D. Ding, A. Rios, H. Dussan, W.H. Dickhoff, S.J. Witte, A. Carbone, A. Polls, Phys. Rev. C 94, 025802 (2016)
S. Gandolfi, A.Y. Illarionov, S. Fantoni, F. Pederiva, K.E. Schmidt, Phys. Rev. Lett. 101, 132501 (2008)
S. Gandolfi, A.Y. Illarionov, F. Pederiva, K.E. Schmidt, S. Fantoni, Phys. Rev. C 80, 045802 (2009)
T. Abe, R. Seki, Phys. Rev. C 79, 054003 (2009)
A. Gezerlis, J. Carlson, Phys. Rev. C 77, 032801 (2008)
A. Gezerlis, J. Carlson, Phys. Rev. C 81, 025803 (2010)
E. Krotscheck, J.W. Clark, Nucl. Phys. A 333, 77 (1980)
E. Krotscheck, R.A. Smith, A.D. Jackson, Phys. Rev. B 24, 6404 (1981)
R.B. Wiringa, V.G.J. Stoks, R. Schiavilla, Phys. Rev. C 51, 38 (1995)
C.J. Horowitz, A. Schwenk, Phys. Lett. B 638, 153 (2006)
G.H. Bordbar, M. Modarres, Phys. Rev. C 57, 714 (1998) and references therein
G.H. Bordbar, M. Bigdeli, Phys. Rev. C 75, 045804 (2007)
M. Modarres, A. Tafrihi, Nucl. Phys. A 941, 212 (2015)
B. Friedman, V.R. Pandharipande, Nucl. Phys. A 361, 502 (1981)
A. Akmal, V.R. Pandharipande, D.G. Ravenhall, Phys. Rev. C 58, 1804 (1998)
J.W. Clark, L.R. Mead, E. Krotscheck, K.E. Kürten, M.L. Ristig, Nucl. Phys. A 328, 45 (1979)
J.W. Clark, Prog. Part. Nucl. Phys. 2, 89 (1979)
I. Bombaci, A. Fabrocini, A. Polls, I. Vidaña, Phys. Lett. B 609, 232 (2005)
J. Margueron, E. van Dalen, C. Fuchs, Phys. Rev. C 76, 034309 (2007)
M. Baldo, C. Maieron, Phys. Rev. C 77, 015801 (2008)
K. Hebeler, A. Schwenk, Phys. Rev. C 82, 014314 (2010)
A. Schwenk, C.J. Pethick, Phys. Rev. Lett. 95, 160401 (2005)
I. Tews, S. Gandolfi, A. Gezerlis, A. Schwenk, Phys. Rev. C 93, 024305 (2016)
E. Epelbaum, H. Krebs, D. Lee, U.G. Meißner, Eur. Phys. J. A 40, 199 (2009)
J. Carlson, J. Morales, V.R. Pandharipande, D.G. Ravenhall, Phys. Rev. C 68, 025802 (2003)
S. Gandolfi, A.Y. Illarionov, K.E. Schmidt, F. Pederiva, S. Fantoni, Phys. Rev. C 79, 054005 (2009)
A. Lovato, O. Benhar, S. Fantoni, A.Y. Illarionov, K.E. Schmidt, J. Phys. Conf. Ser. 336, 012016 (2011)
O. Benhar, C.C. Degli Atti, A. Kallio, L. Lantto, P. Toropainen, Phys. Lett. B 60, 129 (1976)
G. Pavlou, Master's Thesis, University of Athens (2009)
R.B. Wiringa, S.C. Pieper, Phys. Rev. Lett. 89, 182501 (2002)
E. Krotscheck (2017), private communication
H.W. Hammer, A. Nogga, A. Schwenk, Rev. Mod. Phys. 85, 197 (2013)
W. Zuo, Z. Li, G. Lu, J. Li, W. Scheid, U. Lombardo, H.J. Schulze, C. Shen, Phys. Lett. B 595, 44 (2004)
X.R. Zhou, G.F. Burgio, U. Lombardo, H.J. Schulze, W. Zuo, Phys. Rev. C 69, 018801 (2004)
J.W. Clark, Fifty Years of Nuclear BCS, edited by R.A. Broglia, V. Zelevinsky (World Scientific Publishing, 2013) chapt. 27
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Pavlou, G.E., Mavrommatis, E., Moustakidis, C. et al. Microscopic study of 1S0 superfluidity in dilute neutron matter. Eur. Phys. J. A 53, 96 (2017). https://doi.org/10.1140/epja/i2017-12297-2
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DOI: https://doi.org/10.1140/epja/i2017-12297-2