Nuclear Physics and QCDNo Access

NUCLEAR INTERACTIONS FROM THE RENORMALIZATION GROUP

ACHIM SCHWENK

Department of Physics, The Ohio State University, Columbus, OH 43210, USA

Present address: Nuclear Theory Center, Indiana University, Bloomington, IN 47408.

https://doi.org/10.1142/S0217979206035229Cited by:2 (Source: Crossref)

Abstract

We discuss how the renormalization group can be used to derive effective nuclear interactions. Starting from the model-independent low-momentum interaction V_{low k}, we successively integrate out high-lying particle and hole states from momentum shells around the Fermi surface as proposed by Shankar. The renormalization group approach allows for a systematic calculation of induced interactions and yields similar contributions to the scattering amplitude as the two-body parquet equations. We review results for the ¹S₀ and ³P₂ superfluid pairing gaps as well as the spin dependence of effective interactions in neutron matter. Implications for the cooling of neutron stars are discussed.

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

S. K. Bogneret al., Phys. Lett. B 576, 265 (2003), nucl-th/0111042 DOI: 10.1016/j.physletb.2003.10.012. Crossref, Web of Science, ADS, Google Scholar
S. K. Bogner, T. T. S. Kuo and A. Schwenk, Phys. Rep. 386, 1 (2003), DOI: 10.1016/j.physrep.2003.07.001. Crossref, Web of Science, ADS, Google Scholar
A. Nogga, S. K. Bogner and A. Schwenk, Phys. Rev. C (R) in press , nucl-th/0405016 . Google Scholar
A. Schwenk, B. Friman and G. E. Brown, Nucl. Phys. A 713, 191 (2003), nucl-th/0302081 DOI: 10.1016/S0375-9474(02)01290-3. Crossref, Web of Science, ADS, Google Scholar
S. K. Bogner, A. Schwenk, R. J. Furnstahl and A. Nogga, in prep . Google Scholar
L. Coraggioet al., Phys. Rev. C 68, 034320 (2003), nucl-th/0407003 DOI: 10.1103/PhysRevC.68.034320. Crossref, Web of Science, Google Scholar
L. P. Gorkov and T. K. Melik-Barkhudarov, Sov. Phys. JETP 13, 1018 (1961), see also H. Heiselberg, C. J. Pethick, H. Smith and L. Viverit, Phys. Rev. Lett. 85, 2418 (2000) . Google Scholar
R. Shankar, Rev. Mod. Phys. 66, 129 (1994), DOI: 10.1103/RevModPhys.66.129. Crossref, Web of Science, ADS, Google Scholar
C. Honerkamp, these proceedings, and references therein , cond-mat/0411267 . Google Scholar
A. Schwenk, G. E. Brown and B. Frinian, Nucl. Phys. A 703, 745 (2002), DOI: 10.1016/S0375-9474(01)01673-6. Crossref, Web of Science, ADS, Google Scholar
J. Wambach, T. L. Ainsworth and D. Pines, Nucl. Phys. A 555, 128 (1993), DOI: 10.1016/0375-9474(93)90317-Q. Crossref, Web of Science, ADS, Google Scholar
A. Schwenk, B. Friman and R. J. Furnstahl, in prep . Google Scholar
A. Schwenk and B. Friman, Phys. Rev. Lett. 92, 082501 (2004), DOI: 10.1103/PhysRevLett.92.082501. Crossref, Web of Science, Google Scholar
D. G. Yakovlev and C. J. Pethick, Ann. Rev. Astron. Astrophys. 42, 169 (2004), DOI: 10.1146/annurev.astro.42.053102.134013. Crossref, Web of Science, ADS, Google Scholar
D. Blaschke, H. Grigorian and D. N. Voskresensky, Astron. Astrophys. 424, 979 (2004), DOI: 10.1051/0004-6361:20040404. Crossref, Web of Science, ADS, Google Scholar
D. Page, J. M. Lattimer, M. Prakash and A. W. Steiner , astro-ph/0403657 . Google Scholar
A. Schwenk, P. Jaikumar and C. Gale, Phys. Lett. B 584, 241 (2004), DOI: 10.1016/j.physletb.2004.01.036. Crossref, Web of Science, ADS, Google Scholar
E. Olsson and C. J. Pethick, Phys. Rev. C66, 065803 (2002), E. Olsson, P. Haensel and C. J. Pethick, Phys. Rev. C70, 025804 (2004) and private communication . Google Scholar