Renormalization of the one-pion-exchange interaction

Nuclear Physics A

Volumn 653, Issue 2, 1999, Pages 209-221

  Frederico, T ^a   Timoteo V S ^b   Tomio, Lauro ^c  

^a INSTITUTO TECNOLÓGICO DE AERONÁUTICA   (Brazil)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

^c SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

Few body; N N effective interactions; Non relativistic scattering theory; Renormalization

Indexed keywords

EID: 0033526741     PISSN: 03759474     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9474(99)00234-1     Document Type: Article

References (33)

1. S. Weinberg, Nucl. Phys. B 363 (1991) 2; Phys. Lett. B 295 (1992) 114.
2. S. Weinberg, Nucl. Phys. B 363 (1991) 2; Phys. Lett. B 295 (1992) 114.
3. G.P. Lepage, How to renormalize the Schrödinger equation, Proc. of the VIII Jorge André Swieca Summer School Nuclear Physics, ed. C.A. Bertulani, ME. Bracco, B.V. Carlson and M. Nielsen (World Scientific, Singapore, 1997) p. 135.
4. C. Ordóñez, L. Ray, U. van Kolck, Phys. Rev. Lett. 72 (1994) 1982; C. Ordóñez, L. Ray and U. van Kolck, Phys. Rev. C 53 (1996) 2086.
5. C. Ordóñez, L. Ray, U. van Kolck, Phys. Rev. Lett. 72 (1994) 1982; C. Ordóñez, L. Ray and U. van Kolck, Phys. Rev. C 53 (1996) 2086.
6. D.B. Kaplan, M.J. Sawage and M.D. Wise, Phys. Lett. B 424 (1998) 396; D.B. Kaplan, Nucl. Phys. B 478 (1996) 629.
7. D.B. Kaplan, M.J. Sawage and M.D. Wise, Phys. Lett. B 424 (1998) 396; D.B. Kaplan, Nucl. Phys. B 478 (1996) 629.
8. E. Epelbaoum, W. Glöckle, A. Kruger, and Ulf-G. Meissner, Nucl. Phys. A 645 (1999) 413; E. Epelbaoum, W. Glöckle and Ulf-G. Meissner, Phys. Lett. B 439 (1998) 1; Ulf-G. Meissner, Acta Phys. Polon. B 29 (1998) 2339.
9. E. Epelbaoum, W. Glöckle, A. Kruger, and Ulf-G. Meissner, Nucl. Phys. A 645 (1999) 413; E. Epelbaoum, W. Glöckle and Ulf-G. Meissner, Phys. Lett. B 439 (1998) 1; Ulf-G. Meissner, Acta Phys. Polon. B 29 (1998) 2339.
10. E. Epelbaoum, W. Glöckle, A. Kruger, and Ulf-G. Meissner, Nucl. Phys. A 645 (1999) 413; E. Epelbaoum, W. Glöckle and Ulf-G. Meissner, Phys. Lett. B 439 (1998) 1; Ulf-G. Meissner, Acta Phys. Polon. B 29 (1998) 2339.
11. K.G. Richardson, M.C. Birse and J.A. McGovern, Renormalization and Power Counting in Effective Field Theories for Nucleon-nucleon Scattering, hep-ph/9708435; M.C. Birse, Renormalising NN Scattering: Is Power Counting Powerless?, nucl-th/9804028; M.C. Birse, J.A. McGovern and K.G. Richardson, The Wilson Renormalization Group Applied to the Potential in NN Scattering, hep-ph/9808398; D.R. Phillips, S.R. Beane and M.C. Birse, Scheming in Dimensional Regularization, hep-th/9810049.
12. K.G. Richardson, M.C. Birse and J.A. McGovern, Renormalization and Power Counting in Effective Field Theories for Nucleon-nucleon Scattering, hep-ph/9708435; M.C. Birse, Renormalising NN Scattering: Is Power Counting Powerless?, nucl-th/9804028; M.C. Birse, J.A. McGovern and K.G. Richardson, The Wilson Renormalization Group Applied to the Potential in NN Scattering, hep-ph/9808398; D.R. Phillips, S.R. Beane and M.C. Birse, Scheming in Dimensional Regularization, hep-th/9810049.
13. K.G. Richardson, M.C. Birse and J.A. McGovern, Renormalization and Power Counting in Effective Field Theories for Nucleon-nucleon Scattering, hep-ph/9708435; M.C. Birse, Renormalising NN Scattering: Is Power Counting Powerless?, nucl-th/9804028; M.C. Birse, J.A. McGovern and K.G. Richardson, The Wilson Renormalization Group Applied to the Potential in NN Scattering, hep-ph/9808398; D.R. Phillips, S.R. Beane and M.C. Birse, Scheming in Dimensional Regularization, hep-th/9810049.
14. K.G. Richardson, M.C. Birse and J.A. McGovern, Renormalization and Power Counting in Effective Field Theories for Nucleon-nucleon Scattering, hep-ph/9708435; M.C. Birse, Renormalising NN Scattering: Is Power Counting Powerless?, nucl-th/9804028; M.C. Birse, J.A. McGovern and K.G. Richardson, The Wilson Renormalization Group Applied to the Potential in NN Scattering, hep-ph/9808398; D.R. Phillips, S.R. Beane and M.C. Birse, Scheming in Dimensional Regularization, hep-th/9810049.
15. T.-S. Park, K. Kubodera, D.-P. Min and M. Rho, Phys. Rev. C 58 (1998) 637.
16. T. Mehen and I.W. Stewart, Phys. Lett. B 445 (1999) 378.
17. R.J. Perry and S. Szpigel, A New Renormalization Group for Hamiltonian Field Theory, nucl-th79901079.
18. J.L. Ballot and M.R. Robilotta, J. Phys. G 20 (1994) 1599.
19. T.D. Cohen, Phys. Rev. C 56 (1997) 679; D.R. Phillips and T.D. Cohen, Phys. Lett. B 390 (1997) 7.
20. T.D. Cohen, Phys. Rev. C 56 (1997) 679; D.R. Phillips and T.D. Cohen, Phys. Lett. B 390 (1997) 7.
21. J. Gegelia, Phys. Lett. B 429 (1998) 227; Are Pions Perturbative in Effective Field Theory?, nucl- th/9806028; About the Equivalence of Cut-off and Renormalised Effective Field Theories, nucl-th/9805008.
22. J. Gegelia, Phys. Lett. B 429 (1998) 227; Are Pions Perturbative in Effective Field Theory?, nucl- th/9806028; About the Equivalence of Cut-off and Renormalised Effective Field Theories, nucl-th/9805008.
23. J. Gegelia, Phys. Lett. B 429 (1998) 227; Are Pions Perturbative in Effective Field Theory?, nucl- th/9806028; About the Equivalence of Cut-off and Renormalised Effective Field Theories, nucl-th/9805008.
24. S.K. Adhikari, T. Frederico and I.D. Goldman, Phys. Rev. Lett. 74 (1995) 487; S.K. Adhikari and T. Frederico Phys. Rev. Lett. 74 (1995) 4572; C.F. De Araujo, L. Tomio, S.K. Adhikari and T. Frederico, J. Phys. A 30 (1997) 4687. A recent pedagogical introduction to renormalization in elementary quantum mechanics is given in I. Mitra, A. DasGupta and B. Dutta-Roy, Am. J. Phys. 66 ( 1998) 1101, and references therein.
25. S.K. Adhikari, T. Frederico and I.D. Goldman, Phys. Rev. Lett. 74 (1995) 487; S.K. Adhikari and T. Frederico Phys. Rev. Lett. 74 (1995) 4572; C.F. De Araujo, L. Tomio, S.K. Adhikari and T. Frederico, J. Phys. A 30 (1997) 4687. A recent pedagogical introduction to renormalization in elementary quantum mechanics is given in I. Mitra, A. DasGupta and B. Dutta-Roy, Am. J. Phys. 66 ( 1998) 1101, and references therein.
26. S.K. Adhikari, T. Frederico and I.D. Goldman, Phys. Rev. Lett. 74 (1995) 487; S.K. Adhikari and T. Frederico Phys. Rev. Lett. 74 (1995) 4572; C.F. De Araujo, L. Tomio, S.K. Adhikari and T. Frederico, J. Phys. A 30 (1997) 4687. A recent pedagogical introduction to renormalization in elementary quantum mechanics is given in I. Mitra, A. DasGupta and B. Dutta-Roy, Am. J. Phys. 66 ( 1998) 1101, and references therein.
27. S.K. Adhikari, T. Frederico and I.D. Goldman, Phys. Rev. Lett. 74 (1995) 487; S.K. Adhikari and T. Frederico Phys. Rev. Lett. 74 (1995) 4572; C.F. De Araujo, L. Tomio, S.K. Adhikari and T. Frederico, J. Phys. A 30 (1997) 4687. A recent pedagogical introduction to renormalization in elementary quantum mechanics is given in I. Mitra, A. DasGupta and B. Dutta-Roy, Am. J. Phys. 66 ( 1998) 1101, and references therein.
28. L. Tomio and S.K. Adhikari, Phys. Rev. C 22 (1980) 28.
29. V.G.J. Stocks, R.A.M. Klomp, C.P.F. Terheggen, and J.J. de Swart, Phys. Rev. C 49 (1994) 2950; V.G.J. Stocks, R.A.M. Klomp, M.C.M. Rentmeester and J.J. de Swart, Phys. Rev. C 48 (1993) 792.
30. V.G.J. Stocks, R.A.M. Klomp, C.P.F. Terheggen, and J.J. de Swart, Phys. Rev. C 49 (1994) 2950; V.G.J. Stocks, R.A.M. Klomp, M.C.M. Rentmeester and J.J. de Swart, Phys. Rev. C 48 (1993) 792.
31. H.P. Stapp, T.J. Ypsilantis and N. Metropolis, Phys. Rev. 105 (1957) 302.
32. S.K. Adhikari, L. Tomio, J.P.B.C. de Melo and T. Frederico, Phys. Lett. B 318 (1993) 14; S.K. Adhikari, C.F. de Araujo and T. Frederico, Phys. Rev. C 50 (1994) R2684.
33. S.K. Adhikari, L. Tomio, J.P.B.C. de Melo and T. Frederico, Phys. Lett. B 318 (1993) 14; S.K. Adhikari, C.F. de Araujo and T. Frederico, Phys. Rev. C 50 (1994) R2684.