
Volume 2
Issue 2
February 1974
pp 7379
Nuclear And Particle Physics
A model for the multiplicity distribution in ppcollisions from 5 to 300 GeV/c
B S Chaudhary V Gupta D S Narayan
The multiplicity distribution of charged particles in ppcollisions in the range 5–300 GeV/c is explained on the basis of a dynamical model which leads to a specific mixture of Poisson distributions.

Volume 2
Issue 5
May 1974
pp 243251
Nuclear And Particle Physics
Correlations in ppcollisions and twocomponent models
B S Chaudhary V Gupta
Some general consequences of charge conservation inclusive sum rules for the correlation integralsf_{k}andf_{0k} are given. It is also pointed out that the energy dependence off_{k}orf_{0k} is 〈n〉^{k} fork≤7 for ppcollisions and that the data suggest all thef_{k} andf_{0k}’s are nonzero. Further, twocomponent models for the charge multiplicity distribution consistent with charge conservation, are considered and compared with the data for ppcollisions.

Volume 2
Issue 6
June 1974
pp 319326
Nuclear And Particle Physics
Neutralcharged particle correlations in protonproton collisions in the framework of a twocomponent model
V Gupta P K Malhotra
The data on$$\bar N_0 \left( {n\_} \right)$$, the average number of neutrals as a function ofn_{−}, the number of negatively charged particles produced, is fitted at 69, 205 and 303 GeV/c. The twocomponent model used for the charged multiplicity distributionP_{n}, is one which envisages two distinct types of collisions and is the simplest such model consistent with charge conservation. We find that the data on$$\bar N_0 \left( {n\_} \right)$$ can be fitted reasonably well. Further, our results, based on this model forP_{n}, suggest that at 50 GeV/c,$$\bar N_0 \left( {n\_} \right)$$ should increase linearly withn_{−}and that neutralnegative correlations should be present in the central component.

Volume 5
Issue 5
November 1975
pp 249259
Nuclear And Particle Physics
Charge transfer inpp collisions according to a mixed two component model
V Gupta P K Malhotra D S Narayan
The charge transfer from one hemisphere to the other, observed inppcollisions is explained on the basis of a ‘mixed two component’ model, which has been proposed previously to account for the multiplicity distribution of charged particles. Results of the calculations, based on the model, for various measurable quantities relating to charge transfer are compared with the available experimental data.

Volume 6
Issue 5
May 1976
pp 259271
Nuclear And Particle Physics
Sum rules for the baryon20, baryon20′ and meson 16plet coupling constants in broken SU (4) and SU (3) symmetry
V Gupta
Sum rules for the coupling constants for D (20), B (20′) and P (16) are given taking into account first order breaking of SU (4) and SU (3) symmetries. The D (20) and B (20′) contain the usual 3/2^{+} baryon decuplet and 1/2^{+} baryon octet of SU (3), while the P (16) contains the usual pseudoscalar octet of pions, etc. These sum rules generalize the decuplet → octet + octet sum rules of broken SU (3 to a broken SU (4) symmetry scheme, in particular the charm SU (4) for hadrons. It is pointed out that, of the many sum rules, it may be possible to check some of them experimentally (see Section 5) and thus provide a test for an underlying SU (4 symmetry for strong interactions.

Volume 7
Issue 4
October 1976
pp 277286
Nuclear And Particle Physics
Nonleptonic weak decays of charmed baryons
V Gupta
It is shown that the ΔC_{h}=ΔS decays of a baryon sextuplet, triplet and singlet of SU (3), into meson and baryon, can provide simple tests of the iscspin and SU (3) transformation properties of the ΔC_{h}=ΔS nonleptonic interaction in the Glashow IliopoulosMaiani scheme.

Volume 9
Issue 5
November 1977
pp 481489
Particle Physics
Some consequences of neutral current systematics
T Das V Gupta
Two kinds of general consequences of the ΔS=0 weak hadron neutral current independent of a gauge model are presented. Firstly are results which depend on the quark parton model. These involve bounds among neutrino inclusive crosssection and a bound onQ(Z, N) in terms of these inclusive crosssections. Secondly are results which are independent of the quarkparton model and depend only on the SU(3) structure of the most general ΔS=0 neutral current. These tests of isopin and speciallyUspin properties of the current are given forv+N→v+hadron+anything,v+N→v+baryon+meson ande^{+}e^{−}→baryon+antibaryon. In addition some conjectures are made with regard to the semiinclusive neutrinoreactions using the quark parton model.

Volume 14
Issue 2
February 1980
pp 119135
Particle Physics
Quantum chromodynamics corrections to polarised deepinelastic electronnucleon scattering
V Gupta S M Paranjape H S Mani
Quantum chromodynamics corrections to orderα_{s} (the running coupling constant), using the quarkparton approach are calculated for the spindependent structure functions in deepinelastic polarised electronnucleon scattering. Consequences of these corrections for the Bjorken sum rule and the asymmetry in the case of longitudinally polarised (with respect to the beam) nucleons is discussed which could provide possible tests of quantum chromodynamics. Comparison of our results with the moments of the flavour nonsinglet contribution to the structure functions obtained using operator product expansion is also given.

Volume 16
Issue 1
January 1981
pp 107107
Erratum
Quantum chromodynamics corrections to polarised deepinelastic electronnucleon scattering
V Gupta S M Paranjape H S Mani

Volume 17
Issue 6
December 1981
pp 469480
Nuclear And Particle Physics
Gauge invariance and renormalization schemes in quantum chromodynamics
A Dhar V Gupta
A general analysis of the SlavnovTaylor identity connecting the triple gluon and ghostghostgluon vertices and its consequences for two momentum subtraction (symmetric and asymmetric) renormalization schemes are given. It is shown that in the asymmetric scheme proposed in this paper the relation $$Z_3 Z_{1^{  1} } = \tilde Z_8 \tilde Z_{1^{  1} }$$follows directly from the identity for a simple and natural definition of the renormalization constants. Explicit oneloop expressions for the renormalization constants $$\left( {Z_1 ,Z_3 ,\tilde Z_1 \tilde Z_3 } \right)$$in an arbitrary covariant gauge, including quark masses are given in support of the general analysis.

Volume 21
Issue 3
September 1983
pp 207225
Nuclear And Particle Physics
Quantum chromodynamics predictions in renormalization scheme invariant perturbation theory
A Dhar V Gupta
It has recently been shown that any physical quantity ℛ, in perturbation theory, can be obtained as a function of only the renormalization scheme (rs) invariants,ρ_{0},ρ_{1},ρ_{2}, … Physical predictions, to any given order, are renormalization scheme independent in this approach. Quantum chromodynamics (qcd) predictions to second order, within thisrsinvariant perturbation theory, are given here for several processes. These lead to some novel relations between experimentally measurable quantities, which do not involve the unknownqcd scale parameter Λ. They can therefore be directly confronted with experiments and this has been done wherever possible. It is suggested that these relations can be used to probe the neglected higher order corrections.

Volume 24
Issue 6
June 1985
pp 847852
Particle Physics
Some consequences of global horizontal symmetry
V Gupta
It is pointed out that the present SU(3)_{c}×SU(2)_{L}×U(1) gauge interactions with three families have a global horizontal symmetry (denoted hereby SU(3)_{H}) which is broken only by the weak charged hadron currentJ_{h}. Also, with (u, c), (d, s), (v_{e}, {ie4371}) and (e^{−},μ^{−}) as doublets of SU(2)_{H} (subgroup of SU(3)_{H}),J_{h} has simple transformation properties under this subgroup. Amplitude relations, using SU(2)_{H} symmetry, for hadronic leptonic and semileptonic decays are given.

Volume 26
Issue 4
April 1986
pp 311315
Particle Physics
Supersymmetric preon models with threefermion generations
V Gupta H S Mani U Sarkar
A class of supersymmetric preon models is considered in which the hypercolour groupG_{HC} and the unbroken flavour groupG_{f} anomalies are zero without needing spectators. It is shown that forG_{HC}=SU(2) and SU(3) quarks and leptons as composites can be obtained satisfying ’t Hooft’s anomaly matching conditions. For the case ofG_{HC}=SU(3),G_{f} can accommodate a horizontal symmetry group to describe just three generations.

Volume 33
Issue 2
August 1989
pp 255269
Particle Physics
An analysis of the mass formulae forS andPwave mesons
V Gupta R Kögerler
Mass regularities forS andPwave mesons and relations between their masses are discussed. A detailed analysis is given forSwave mesons which extends the investigations onPwave mesons reported earlier. Masses for theS andPstates of all interesting$$q\bar q$$systems (including toponium states) are predicted. Partial understanding of the mass formulae is obtained within a general potential model approach. Scaling arguments are presented which support the empirical scaling behaviour found for the expectation values determining the spinsplittings in the potential picture.

Volume 33
Issue 6
December 1989
pp 639649
Particle Physics
Interpretation of the recent Kolar events
A S Joshipura G Rajasekaran V Gupta K V L Sarma
We give plausible interpretations of the unusual events seen in the proton decay detector at Kolar Gold Fields indicating the existence of a massive (≳2GeV) long lived (10^{−8}−10^{−9}s) particle. We show that it is possible to accommodate the particle in the standard model as a fourth generation neutrino, or inE_{6} grand unified theory as a neutral fermion occurring in27 representation or in supersymmetric theory as a scalar neutrino. However, there is a difficulty in explaining the large production rate for the particle.

Volume 46
Issue 3
March 1996
pp 239243
Brief Report
Current algebra results for theB  D systems
V Gupta H S Mani
Using the equal time commutation relations for the components of the vector and axialvector currents and keeping single particle states we obtain relations for the weak form factors for theB  D systems. In the heavy quark effective theory (HQET) limit these relations determine the IsgurWise function.