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