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Implicit Versus Explicit Renormalization Of The Nn Force: An S-wave Toy Model
Registro en:
Few-body Systems. Springer-verlag Wien, v. 55, n. 08/10/15, p. 989 - 992, 2014.
1777963
10.1007/s00601-014-0811-9
2-s2.0-84905593585
Autor
Arriola E.R.
Szpigel S.
Timoteo V.S.
Institución
Resumen
We use an S-wave toy model for the two-nucleon system to show that the implicit renormalization of a contact theory matches the explicit renormalization through a flow equation which integrates out the high momentum components. By fitting the low-momentum interaction with a new contact theory, we show that the running of the contact strengths in both original and fitted contact theories match over a wide cutoff range. © 2014 Springer-Verlag Wien. 55 08/10/15 989 992 Epelbaum, E., Glöckle, W., Meissner, U.-G., Nuclear forces from chiral Lagrangians using the method of unitary transformation. 1. Formalism (1998) Nucl. Phys. Nucl. A, 637, pp. 107-134 Epelbaum, E., Glöckle, W., Meissner, U.-G., Low momentum effective theory for nucleons (1998) Phys. Lett. B, 439, pp. 1-5 Epelbaum, E., Glöckle, W., Meissner, U.-G., Nuclear forces from chiral Lagrangians using the method of unitary transformation. 1. The two nucleon system (2000) Nucl. Phys. Nucl. A, 671, pp. 295-331 Bogner, S.K., Furnstahl, R.J., Schwenk, A., From low-momentum interactions to nuclear structure (2010) Prog. Part. Nucl. Phys., 65, pp. 94-147 Timóteo, V.S., Szpigel, S., Ruiz Arriola, E., Symmetries of the similarity renormalization group for nuclear forces (2012) Phys. Rev. C, 86, p. 034002 Szpigel, S., Timóteo, V.S., de Durães, F.O., Similarity renormalization group evolution of chiral effective nucleon-nucleon potentials in the subtracted kernel method approach (2012) Ann. Phys., 326, pp. 364-405 Anderson, E., Bogner, S.K., Furnstahl, R.J., Jurgenson, E.D., Perry, R.J., Schwenk, A., Block-diagonalization using similarity renormalization group flow equations (2008) Phys. Rev. C, 77, p. 037001 Ruiz Arriola, E., Szpigel, S., Timóteo, V.S., Implicit vs Explicit Renormalization and Effective Interactions (2014) Phys. Lett. B, 728, pp. 596-601