2011

Constraining the neutron-neutron scattering length with \eftnopi

Kirscher, Johannes, Phillips, Daniel R.

Understand

We compute a model-independent correlation between the difference of neutron-neutron and proton-proton scattering lengths |a(nn)-a^C(pp)| and the splitting in binding energies between Helium-3 and tritium nuclei.

We use the effective field theory without explicit pions to show that this correlation relies only on the existence of large scattering lengths in the NN system.
Our leading-order calculation, taken together with experimental values for binding energies and a^C(pp), yields a(nn)=-22.9 \pm 4.1 fm.

Built on

Marvin L. Goldberger and Kenneth M. Watson, “Collision Theory” (John Wiley and Sons, 1964)
1964
Earlier work this paper cites.
P. U. Sauer, Phys. Rev. Lett. 32
1974
Earlier work this paper cites.
J. A. Tjon, Phys. Lett. B 56
1975
Earlier work this paper cites.
L. Koester and W. Nistler, Z. Physik 272
1975
Earlier work this paper cites.
R. A. Brandenburg, S. A. Coon, P. U. Sauer, Nucl. Phys. A294
1978
Earlier work this paper cites.
S. A. Coon et al
1979
Earlier work this paper cites.
L. P. Kok, J. W. de Maag, H. H. Brouwer and H. van Haeringen, Phys. Rev. C 26
1982
Earlier work this paper cites.
S. A. Coon and R. C. Barrett, Phys. Rev. C 36
1987
Earlier work this paper cites.
J. R. Bergervoet, P. C. van Campen, W. .A. van der Sanden and J. J. de Swart, Phys. Rev. C 38
1988
Earlier work this paper cites.
G. A. Miller, B. M. K. Nefkens and I. Šlaus, Phys. Rept. 194
1990
Earlier work this paper cites.
Y. Wu, S. Ishikawa and T. Sasakawa, Phys. Rev. Lett. 64
1991
Earlier work this paper cites.
S. Weinberg, Nucl. Phys. B 363
1991
Earlier work this paper cites.
A. R. Edmonds, Angular Momentum in Quantum Mechanics, 1996, Princton University Press
1996
Earlier work this paper cites.
U. van Kolck, J. L. Friar and J. T. Goldman, Phys. Lett. B 371
1996
Earlier work this paper cites.
B. S. Pudliner, V. R. Pandharipande, J. Carlson, S. C. Pieper and R. B. Wiringa, Phys. Rev. C 56
1997
Earlier work this paper cites.
D. R. Phillips and T. D. Cohen, Phys. Lett. B390
1997
Earlier work this paper cites.
See, for example, V. Agrawal, S. M. Barr, J. F. Donoghue and D. Seckel, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
D. B. Kaplan, M. J. Savage and M. B. Wise, Phys. Lett. B 424
1998
Earlier work this paper cites.

Similar

D. B. Kaplan, M. J. Savage and M. B. Wise, Nucl. Phys. B 534
1998
Cited alongside, same era.
J. Gegelia, Phys. Lett. B 429
1998
Cited alongside, same era.
X. Kong and F. Ravndal, Phys. Lett. B 450
1999
Cited alongside, same era.
D. E. González et al
1999
Cited alongside, same era.
U. van Kolck, Nucl. Phys. A 645
1999
Cited alongside, same era.
M. C. Birse, J. A. McGovern and K. G. Richardson, Phys. Lett. B 464
1999
Cited alongside, same era.
J. W. Chen, G. Rupak and M. J. Savage, Nucl. Phys. A 653
1999
Cited alongside, same era.
V. Huhn et al
2000
Cited alongside, same era.
V. Huhn et al
2000
Cited alongside, same era.
P. F. Bedaque, H.-W. Hammer and U. van Kolck, Phys. Rev. Lett. 82
2000
Cited alongside, same era.
R. Machleidt, Phys. Rev. C 63
2001
Cited alongside, same era.
R. Machleidt and H. Muther, Phys. Rev. C 63
2001
Cited alongside, same era.

Then

P. F. Bedaque, G. Rupak, H. W. Griesshammer and H.-W. Hammer, Nucl. Phys. A 714
2003
Later among the works it cites.
T. Barford and M. C. Birse, Phys. Rev. C 67
2003
Later among the works it cites.
J. Gegelia, Eur. Phys. J. A 19
2004
Later among the works it cites.
L. Platter, H.-W. Hammer and U.-G. Meißner, Phys. Lett. B 607
2005
Later among the works it cites.
J. L. Friar, G. L. Payne and U. van Kolck, Phys. Rev. C 71
2005
Later among the works it cites.
E. Epelbaum, U.-G. Meißner and J. E. Palomar, Phys. Rev. C 71
2005
Later among the works it cites.
T. Barford and M. C. Birse, J. Phys. A 38
2005
Later among the works it cites.
G. A. Miller, A. K. Opper and E. J. Stephenson, Ann. Rev. Nucl. Part. Sci. 56
2006
Later among the works it cites.
D. E. González et al
2006
Later among the works it cites.
L. Platter, Phys. Rev. C 74
2006
Later among the works it cites.
L. Platter and H.-W. Hammer, Nucl. Phys. A 766
2006
Later among the works it cites.
S. i. Ando and M. C. Birse, Phys. Rev. C 78
2008
Later among the works it cites.
R. Higa, H. W. Hammer and U. van Kolck, Nucl. Phys. A 809
2008
Later among the works it cites.
M. Pavon Valderrama and E. Ruiz Arriola, Phys. Rev. C 80
Original
2009
Later among the works it cites.
A. Gardestig, J. Phys. G 36
2009
Later among the works it cites.
J. Kirscher, H. W. Griesshammer, D. Shukla and H. M. Hofmann, PoS CD09
Original
2009
Later among the works it cites.
J. Kirscher, H. W. Griesshammer, D. Shukla and H. M. Hofmann, Eur. Phys. J. A 44
2010
Later among the works it cites.

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