△S=1 Weak Transitions in Skyrme model Generalized up to Quartic Terms

Authors

  • Rajesh Kumar  Department of Physics, Govt. College, Faridabad, Haryana, India

Keywords:

Chiral Symmetry, Skyrmion, Heavier Mesons

Abstract

We investigate △S=1 weak transition in the light of most general Skyrme type lagrangian containing terms up to quartic terms in field gradients. The additional parameters in the lagrangian are taken from pion-pion scattering data. Our decay amplitudes for anticommutator term in the Skyrme lagrangian shows much improvement over the Skyrme values. S-wave decay amplitudes are also reasonably reproduced in the model.

References

  1. T.H.R. Skyrme, Proc. Roy. Soc. A260(1961)127
  2. G.S.Adkins, C.R. Nappi and E.Witten,Nucl.Phys.B228(1983)552
  3. M. Mashaal,T.N. Pham and T.N.Traung, Phys. Rev. Lett. 56(1986)436
  4. M. Mashaal, T.N. Pham and T.N.Traung, Phys. Rev. D 34(1986)3484
  5. M. Lacombe, B. Loiseau and R. Vinh Mau Phys.Lett. 161B (1985)31
  6. G.S.Adkins and C.R. Nappi, Phys.Lett.137B(1984)251
  7. O.Kaymakcalan, S.Rajeev and J.Schechter,Phys.Rev.D30 (1984)594
  8. O.Kaymakcalan, and J.Schechter,Phys.Rev.D31(1985)1100
  9. G.S.Adkins,Phys.Rev.D33(1986)193
  10. U.G.Meissner and I.Zahed,Phys.Rev.Lett.56(1986)1035
  11. A.Jackson, A.D.Jackson, A.S.Goldhaber, G.E.Brown and L.C.Castillejo,Phys.Lett.154B(1985)101
  12. L. Marleau, Phys. Rev.D41(1990)1606
  13. L. Marleau, Phys. Rev.D43(1991)885
  14. L. Marleau, Phys. Rev.D45(1992)1776
  15. H. Weigel, Int. J. Mod.Phys.A11(1996)2419
  16. N.N. Scoccola, Phys. Lett.289B(1998)8
  17. M. Praszalowicz and J.Trampetic,Phys.Lett.161B(1985)169
  18. D.Tradic and J.Trampetic,Phys.Rev.D22(1981)144
  19. M. Praszalowicz, Phys. Lett.158B(1985)264
  20. M.Chemtob, Nucl.Phys.B 256(1985)600
  21. Y.Kondo, S.Saito and T.Otofuji, Phys.Lett.236B(1990)1
  22. S. Weinberg, Physica 6(1997)325
  23. M. Lacombe, B. Loiseau, R.Vinh Mau and W.N.Cottingham, Phys.Lett.169B(1986)121
  24. E. Witten, Nucl.Phys. B233(1983)422
  25. E. Witten , Nucl.Phys. B233(1983)433
  26. H. Weigel, Chiral Soliton Model for Baryons, Lect. Notes Phys.743(Springer, Berlin Heidelberg 2008)p.87,94
  27. Irwandi and Triyanta, Indonesian J.Phys.17(2006)1
  28. D.I. Diakonov, V. Petrov and M.Praszalowicz, Nucl. Phys.B 323(1989)5
  29. G.Duplacic,H.Pasagic and J.Trampetic,JHEP 07(2004)027
  30. Rajesh Kumar,Int.J.Mod.Phys.E 23(2014)14520028
  31. J.F. Donogue, E.Golowich and B.R.Holestein,Phys.Rev.Lett. 53(1984)747
  32. Rajesh Kumar and P.K. Chattopadhyay, Pramana 49(1997) 747
  33. G. Duplancic, H.Pasagic, M. Praszalowicz and J. Trampetic, Phys. Rev.D 64(2001)097502, arXiv:hep-ph/0104281v2
  34. E. Gaudagnini ,Nucl.Phys.B236(1984)35
  35. A.V. Manohar, Nucl. Phys.B248(1984)54
  36. P. McName, S.J and F.Chilton,Rev.Mod.Phys.36(1964)1003
  37. N. Toyota, Prog. Theo.Phys.77(1987)688
  38. N. Toyota and K.Fuji,Prog.Theo.Phys.75(1986)340
  39. Daniel Gomaz Dumm, A.J.Gracia and N.N.Scoccola Phys. Rev.D62(2000)014001
  40. M.A.Shifman, A.J.Vainstein and V.I. Zakharov, Nucl. Phys.B 120(1977)317
  41. J.F. Donoghue, E. Golowich and B.R.Holstein,Phys.Rep.131 (1986)319
  42. E. Jenkins, Nucl. Phys.B375(1992)561, hep-ph/9508324

Downloads

Published

2020-04-30

Issue

Section

Research Articles

How to Cite

[1]
Rajesh Kumar, " △S=1 Weak Transitions in Skyrme model Generalized up to Quartic Terms, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 7, Issue 2, pp.558-562, March-April-2020.