Pramana

, Volume 8, Issue 1, pp 56–67 | Cite as

Parity violating non-leptonic decays of hyperons and of charmed baryons in SU (8)

  • Ramesh C Verma
  • M P Khanna
Nuclear And Particle Physics
Received:
Revised:

Abstract

The parity violating non-leptonic decays of hyperons and of charmed baryons are discussed in the framework of SU (8) symmetry. Several relations in addition to the ones obtained earlier by using SU (4) symmetry and20″-dominance, are obtained. The assumption of20″-dominance at the SU (4) level is no longer required for explaining the non-leptonic decays of 1/2+ baryons.

Keywords

Non-leptonic decays SU (8) symmetry 

1. List of symbols

SubscriptA

antisymmetric

B (n)

SU (3) baryon multiplet of dimensionn

c

charm quantum number

CP

charge conjugation and parity

G

weak coupling constant

Hw

weak decay Hamiltonian

H0(720)

weak decay Hamiltonian corresponding to 720 representation

H1,2,3,4(1232)

weak decay Hamiltonian corresponding to 1232 representation

J andJ+

GIM type weak hadronic currents

P (n)

SU (3) meson multiplet of dimensionn

S

strangeness quantum number

Subscripts

symmetric

SU (n)

n dimensional unitary symmetry group

θ

Cabibbo angle

p, n, λ, p′

four fundamental quarks (p type,n type, strange quark, charm quark, respectively)

εIJ and εαβρδ

Levi-Civita symbols

Xijk andX(i,s)

wave functions for spin 3/2 and 1/2 respectively

Superscript Bar, * and+

conjugation

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References

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Copyright information

© Indian Academy of Sciences 1977

Authors and Affiliations

  • Ramesh C Verma
    • 1
  • M P Khanna
    • 1
  1. 1.Department of PhysicsPanjab UniversityChandigarh

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