Abstract
Cut-off regulators in the effective field theory (EFT) description of a low-energy NN scattering often violates unitarity. To understand the phenomenological consequences of such a violation of unitarity, we have performed a comparative study for the 1S0 np scattering up to next-to-leading order with five different forms of regulators, some of which preserve unitarity while others do not. For this aim, we have considered two different types of EFTs; one is the EFT that consists of only nucleonic degrees of freedom, and the other is the EFT with a dibaryon field. For both types of EFTs, unitarity-preserving regulators turn out generally to produce phase shifts in better agreement with the data than unitarity-violating regulators do.
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References
S. R. Beane, T. D. Cohen and D. R. Phillips, Nucl. Phys. A 632, 445 (1998).
J. V. Steele and R. J. Furnstahl, Nucl. Phys. A 637, 46 (1998).
J. V. Steele, Proceedings of Nuclear Physics with Effective Field Theory, edited by R. Seki, U. van Kolck, and M. J. Savage (World Scientific, Singapore, 1998), Vol. 6, nucl-th/9807022v1.
D. R. Phillips, S. R. Beane and T. D. Cohen, Ann. Phy. 263, 255 (1998).
D. R. Phillips, S. R. Beane and T. D. Cohen, Nucl. Phys. A 631, 447c (1998).
D. R. Phillips, S. R. Beane and M. C. Birse, J. Phys. A: Math. Gen. 32, 3397 (1999).
J. Gegelia and G. Japaridze, Phys. Lett. B 517, 476 (2001).
G. P. Lepage, nucl-th/9706029v1.
T-S. Park, K. Kubodera, D-P. Min and M. Rho, Phys. Lett. B 472, 242 (2000).
T-S. Park, K. Kubodera, D-P. Min and M. Rho, Phys. Rev. C 58, 637 (1998).
[11] Ch. Zeoli, R. Machleidt and D. R. Entem, Few-Body Syst. 54, 2191 (2013).
T. Varin, D. Davesne, M. Oertel and M. Urban, Nucl. Phys. A 791, 422 (2007).
J. W. Shin, S. Ando and C. H. Hyun, Phys. Rev. C 81, 055501 (2010).
G. Cynolter and E. Lendvai, Cent. Eur. J. Phys. 9, 1237 (2011).
J. W. Shin, S-I. Ando, C. H. Hyun and S. W. Hong, Few-Body Syst. 54, 359 (2013).
J. Behrendt, E. Epelbaum, J. Gegelia, U. G. Meißner, and A. Nogga, Eur. Phys. J. A 52, 296 (2016).
B. Long and Y. Mei, Phys. Rev. C 93, 044003 (2016).
S. Okubo, Ann. Phys. 20, 336 (1962).
S. Okubo, Ann. Phys. 21, 373 (1963).
U. Amaldi and F. Selleri, Il Nuovo Cimento 31, 360 (1964).
R. Machleidt, Phys. Rev. C 63, 024001 (2001).
E. Ruiz Arriola, S. Szpigel and V. S. Timoteo, Ann. Phys. 353, 129 (2015).
http://NN-OnLine.sci.kun/nl/.
J. R. Taylor, Scattering theory: the quantum theory of nonrelativistic collisions (Wiley, New York, 1972).
D. B. Kaplan, M. J. Savage and M. B. Wise, Nucl. Phys. B 478, 629 (1996).
D. B. Kaplan, Nucl. Phys. B 494, 471 (1997).
P. F. Bedaque and U. van Kolck, Phys. Lett. B 428, 221 (1998).
P. F. Bedaque and H. W. Griesshammer, Nucl. Phys. A 671, 357 (2000).
P. F. Bedaque, Proceedings of Nuclear Physics with Effective Field Theory, edited by R. Seki, U. van Kolck, and M. J. Savage (World Scientific, Singapore, 1998), Vol. 6, nucl-th/9806041.
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. (Dover, New York, 1972).
G. Gasper and M. Rahman, Basic Hypergeometric Series. (Cambridge University Press, United Kingdom, 2004), Vol. 96.
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In, E.J., Park, TS. & Hong, SW. Role of unitarity in EFT descriptions of low-energy NN scattering. Journal of the Korean Physical Society 70, 751–757 (2017). https://doi.org/10.3938/jkps.70.751
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DOI: https://doi.org/10.3938/jkps.70.751