Artículos de revistas
Power Counting And Renormalization Group Invariance In The Subtracted Kernel Method For The Two-nucleon System
Registro en:
Journal Of Physics G: Nuclear And Particle Physics. , v. 39, n. 10, p. - , 2012.
9543899
10.1088/0954-3899/39/10/105102
2-s2.0-84866316306
Autor
Szpigel S.
Timoteo V.S.
Institución
Resumen
We apply the subtracted kernel method (SKM), a renormalization approach based on recursive multiple subtractions performed in the kernel of the scattering equation, to the chiral nucleon-nucleon (NN) interactions up to nextto- next-to-leading-order.We evaluate the phase-shifts in the 1S 0 channel at each order in Weinberg's power counting scheme and in a modified power counting scheme which yields a systematic power-law improvement. We also explicitly demonstrate that the SKM procedure is renormalization group invariant under the change of the subtraction scale through a non-relativistic Callan-Symanzik flow equation for the evolution of the renormalized NN interactions. © 2012 IOP Publishing Ltd. 39 10
Bedaque, P.F., Van Kolck, U., (2002) Ann. Rev. Nucl. Part. Sci, 52, p. 339 Epelbaum, E., Hammer, H.W., Meißner, U.G., (2009) Rev. Mod. Phys, 81, p. 1773 Machleidt, R., Entem, D.R., (2011) Phys. Rep, 503, p. 1 Epelbaum E and Meißner U G 2012 arXiv:nucl-th/1201.2136Weinberg, S., (1990) Phys. Lett. B, 251, p. 288 Weinberg, S., (1991) Nucl. Phys. B, 363, p. 3 Weinberg, S., (1992) Phys. Lett. B, 295, p. 114 Lepage G P 1997 arXiv:nucl-th/9706029Epelbaum, E., Glöckle, W., Meißner, U.G., (2005) Nucl. Phys. A, 747, p. 362 Entem, D.R., Machleidt, R., (2003) Phys. Rev. C, 68, p. 041001 Stoks, V.G.J., Klomp, R.A.M., Terheggen, C.P.F., De Swart, J.J., (1994) Phys. Rev. C, 49, p. 2950 Wiringa, R.B., Stoks, V.G.J., Schiavilla, R., (1995) Phys. Rev. C, 51, p. 38 Van Kolck, U., (1994) Phys. Rev. C, 49, p. 2932 Epelbaum, E., Nogga, A., Glöckle, W., Kamada, H., Meißner, U.G., Witala, H., (2002) Phys. Rev. C, 66, p. 064001 Ishikawa, S., Robilotta, M.R., (2007) Phys. Rev. C, 76, p. 014006 Bernard, V., Epelbaum, E., Krebs, H., Meißner, U.G., (2008) Phys. Rev. C, 77, p. 064004 Bernard, V., Epelbaum, E., Krebs, H., Meißner, U.G., (2011) Phys. Rev. C, 84, p. 054001 Epelbaum, E., (2006) Phys. Lett. B, 639, p. 456 Epelbaum, E., (2007) Eur. Phys. J. A, 34, p. 197 Krebs H, Gasparyan A and Epelbaum E 2012 arXiv:nucl-th/1203.0067Epelbaum E and Meißner U G 2006 arXiv:nucl-th/0609037Epelbaum, E., Gegelia, J., (2009) Eur. Phys. J. A, 41, p. 341 Epelbaum, E., Glöckle, W., Meißner, U.G., (2000) Nucl. Phys. A, 671, p. 295 Pandharipande, V.R., Phillips, D.R., Van Kolck, U., (2005) Phys. Rev. C, 71, p. 064002 Krebs, H., Epelbaum, E., Meißner, U.G., (2007) Eur. Phys. J. A, 32, p. 127 Epelbaum, E., Krebs, H., Meißner, U.G., (2008) Nucl. Phys. A, 806, p. 65 Entem, D.R., Arriola, E.R., Valderrama, M.P., Machleidt, R., (2008) Phys. Rev. C, 77, p. 044006 Valderrama, M.P., Arriola, E.R., (2009) Phys. Rev. C, 79, p. 044001 Kaplan, D.B., Savage, M.J., Wise, M.B., (1996) Nucl. Phys. B, 478, p. 629 Kaplan, D.B., Savage, M.J., Wise, M.B., (1998) Phys. Lett. B, 424, p. 390 Kaplan, D.B., Savage, M.J., Wise, M.B., (1998) Nucl. Phys. B, 534, p. 329 Van Kolck, U., (1999) Nucl. Phys. A, 645, p. 273 Nogga, A., Timmermans, R.G.E., Van Kolck, U., (2005) Phys. Rev. C, 72, p. 054006 Birse, M.C., (2006) Phys. Rev. C, 74, p. 014003 Birse M C 2009 arXiv:nucl-th/0909.4641Birse M C 2010 arXiv:nucl-th/1012.4914Valderrama, M.P., (2010) AIP Conf. Proc, 1322, p. 205 Valderrama, M.P., (2011) Phys. Rev. C, 83, p. 024003 Valderrama, M.P., (2011) Phys. Rev. C, 84, p. 064002 Beane, S.R., Bedaque, P.F., Savage, M.J., Van Kolck, U., (2002) Nucl. Phys. A, 700, p. 377 Beane, S.R., Kaplan, D.B., Vuorinen, A., (2009) Phys. Rev. C, 80, p. 011001 Long, B., Van Kolck, U., (2008) Ann. Phys, 323, p. 1304 Long, B., Yang, C.J., (2011) Phys. Rev. C, 84, p. 057001 Long B and Yang C J 2011 arXiv:nucl-th/1111.3993Wilson, K.G., Kogut, J.B., (1974) Phys. Rep. C, 12, p. 75 Wilson, K.G., (1975) Rev. Mod. Phys, 47, p. 773 Wilson, K.G., (1983) Rev. Mod. Phys, 55, p. 583 Birse, M.C., McGovern, J.A., Richardson, K.G., (1999) Phys. Lett. B, 464, p. 169 Barford, T., Birse, M.C., (2003) Phys. Rev. C, 67, p. 064006 Valderrama, M.P., Arriola, E.R., (2004) Phys. Rev. C, 70, p. 044006 Valderrama, M.P., Arriola, E.R., (2006) Phys. Rev. C, 74, p. 054001 Valderrama, M.P., Arriola, E.R., (2006) Phys. Rev. C, 74, p. 064004 Valderrama, M.P., Arriola, E.R., (2007) Phys. Rev. C, 75, p. 059905. , (Erratum Valderrama, M.P., Arriola, E.R., (2008) Ann. Phys, 323, p. 1037 Valderrama, M.P., Arriola, E.R., (2011) Phys. Rev. C, 83, p. 044002 Machleidt, R., Entem, D.R., (2010) J. Phys. G: Nucl. Part. Phys, 37, p. 064041 Frederico, T., Tim'oteo, V.S., Tomio, L., (1999) Nucl. Phys. A, 653, p. 209 Frederico, T., Delfino, A., Tomio, L., (2000) Phys. Lett. B, 481, p. 143 Frederico T, Delfino A, Tomio L and Tim'oteo V S 2001 arXiv:hep-ph/0101065Tim'oteo, V.S., Frederico, T., Tomio, L., Delfino, A., (2005) Phys. Lett. B, 621, p. 109 Tim'oteo, V.S., Frederico, T., Delfino, A., Tomio, L., (2007) Nucl. Phys. A, 790, pp. 406c Tim'oteo, V.S., Frederico, T., Tomio, L., Delfino, A., (2007) Int. J. Mod. Phys. E, 16, p. 2822 Tim'oteo, V.S., Frederico, T., Delfino, A., Tomio, L., (2011) Phys. Rev. C, 83, p. 064005 Tiḿoteo, V.S., Szpigel, S., Duraes, F.O., (2010) Eur. Phys. J. Web Conf, 3, p. 05020 Tiḿoteo, V.S., Szpigel, S., Duraes, F.O., (2011) Few-Body Syst, 50, p. 247 Szpigel, S., Tiḿoteo, V.S., Duraes, F.O., (2011) Ann. Phys, 326, p. 364 Yang, C.J., Elster, C., Phillips, D.R., (2008) Phys. Rev. C, 77, p. 014002 Yang, C.J., Elster, C., Phillips, D.R., (2009) Phys. Rev. C, 80, p. 034002 Yang, C.J., Elster, C., Phillips, D.R., (2009) Phys. Rev. C, 80, p. 044002 Callan, C.G., (1970) Phys. Rev. D, 2, p. 1541 Symanzik, K., (1970) Commun. Math. Phys, 16, p. 48 Steele, J.V., Furnstahl, R.J., (1998) Nucl. Phys. A, 637, p. 46 Steele, J.V., Furnstahl, R.J., (1999) Nucl. Phys. A, 645, p. 439 Bethe, H.A., (1949) Phys. Rev, 76, p. 38 Machleidt, R., Liu, P., Entem, D.R., Arriola, E.R., (2010) Phys. Rev. C, 81, p. 024001 Birse, M.C., McGovern, J.A., (2004) Phys. Rev. C, 70, p. 054002 Birse, M.C., (2007) Phys. Rev. C, 76, p. 034002 Birse, M.C., (2010) Eur. Phys. J. A, 46, p. 231 Ipson, K.L., Helmke, K., Birse, M.C., (2011) Phys. Rev. C, 83, p. 017001 Wigner, E.P., (1955) Phys. Rev, 98, p. 145 Phillips, D.R., Cohen, T.D., (1997) Phys. Lett. B, 390, p. 7 Scaldeferri, K.A., Phillips, D.R., Kao, C.W., Cohen, T.D., (1997) Phys. Rev. C, 56, p. 679 Phillips, D.R., Beane, S.R., Cohen, T.D., (1998) Nucl. Phys. A, 631, pp. 447c Phillips, D.R., Beane, S.R., Cohen, T.D., (1998) Ann. Phys, 263, p. 255 Beane, S.R., Cohen, T.D., Phillips, D.R., (1998) Nucl. Phys. A, 632, p. 445 Gegelia, J., (1998) Phys. Lett. B, 429, p. 227 Cohen, T.D., Hansen, J.M., (1999) Phys. Rev. C, 59, p. 13 Cohen, T.D., Hansen, J.M., (1999) Phys. Rev. C, 59, p. 3047 Bogner S K, Schwenk A, Kuo T T S and Brown G E 2001 arXiv:nucl-th/0111042Bogner, S.K., Kuo, T.T.S., Schwenk, A., Entem, D.R., Machleidt, R., (2003) Phys. Lett. B, 576, p. 265 Bogner, S.K., Furnstahl, R.J., Ramanan, S., Schwenk, A., (2007) Nucl. Phys. A, 784, p. 79 Nogga, A., Kamada, H., Glöckle, W., Barrett, B.R., (2002) Phys. Rev. C, 65, p. 054003 Machleidt, R., (1989) Adv. Nucl. Phys, 19, p. 189. , http://inspirehep.net/record/289870/ Hammer, H.-W., Mehen, T., (2001) Nucl. Phys. A, 690, p. 535 Afnan, I.R., Phillips, D.R., (2004) Phys. Rev. C, 69, p. 034010 Platter, L., Phillips, D.R., (2006) Few-Body Syst, 40, p. 35 Platter, L., (2006) Phys. Rev. C, 74, p. 037001