H J Bhabha
Articles written in Proceedings – Section A
Volume 10 Issue 4 October 1939 pp 221-223
Volume 10 Issue 5 November 1939 pp 324-332
It is shown that when a point charge is present in an electromagnetic field, the conservation of energy and momentum does not in general lead to conservation of angular momentum for the system as a whole. The conservation laws impose stringent restrictions on the possible equations which may describe the motion of the point charge.
Volume 11 Issue 4 April 1940 pp 247-267
The exact relativistic classical equations taking radiation reaction into account for the rotation and translation of a
Volume 11 Issue 4 April 1940 pp 347-368
The previous paper having shown that all divergences and large crosssections for neutral mesons being due entirely to neglect of radiation reaction, an attempt is made in this paper to remove those difficulties in the theory of
Volume 11 Issue 5 May 1940 pp 467-467 Erratum
Volume 11 Issue 5 May 1940 pp 468-468 Erratum
Volume 11 Issue 6 June 1940 pp 468-468 Erratum
Volume 13 Issue 1 January 1941 pp 9-24
It is shown that the scattering of neutral mesons
On the basis of the assumption put forward by Bhabha that the heavy particles can exist in states of all integral charge, it is shown that the scattering of charged mesons by the spin of the heavy particles only differs from the scattering of neutral mesons by factors (1−ΔM2
A new formula (36
The scattering of charged mesons on the usual quantum theory shows no correspondence with the classical scattering. The scattering on the basis of Heitler's idea of allowing the heavy particles to exist in higher spin states also shows no correspondence with the classical scattering.
Volume 13 Issue 4 April 1941 pp 249-254
The classical theory of mesons only contains the fundamental constant ξ. The rest mass μ of the meson is introduced only when the theory is quantized by the relation μ=ℏχ. As a result, although the quantum theory goes over strictly into the classical theory when ℏ → 0, the classical theory corresponds not only to the limit in which the momentum properties of mesons can be neglected, but also to the limit μ=0 (but ξ a finite constant). Due however to the fortunate circumstance that in nature M≫μ (M being the neutron mass) the classical theory can be used extensively to calculate processes involving mesons and heavy particles, but is entirely inadequate for calculating processes involving mesons and electrons or neutrinos, just because here μ≫
Volume 15 Issue 2 February 1942 pp 105-117
It is shown that the original Dirac theory in which a particle of spin half ħ is described by the Dirac equation with all the negative energy states empty, and the hole theory in which all the negative energy states are filled each with one electron, do
The formula for the scattering of radiation by a free electron on the hole theory is calculated. This is
Volume 15 Issue 6 June 1942 pp 461-463
Volume 15 Issue 6 June 1942 pp 464-476
A rigorous solution of the equations of the cascade theory taking the radiation and pair creation cross-sections to be those for complete screening and the collision loss to be a constant is given which exactly satisfies the given boundary conditions at the surface of the layer. The solution is in the form of an infinite series but it is not a series in powers of the collision loss β since this enters essentially into the expression for each term. The first term of the series alone gives the whole energy spectrum of cascade electrons both above and below the critical energy with very considerable accuracy. The total number of particles produced at a depth
Volume 19 Issue 1 January 1944 pp 23-36
A formula for the depth of the penetration of a cascade as a function of the energy of the primary electron is given based on the calculations of Bhabha and Chakrabarty. A simple formula for the end of a shower is also given. It is shown that fluctuation plays an important part in determining the ability of an electron to operate two counters separated by a given thickness of absorber and increases the number of such electrons tenfold for thick absorbers. Formulæ are given for the number of electrons which enter an absorber of thickness
A new experimental arrangement is described which makes a much more effective use of the cascade process for separating the electrons from the penetrating particles. This arrangement is suitable for measuring the penetrating component in high altitude balloon flights, and for studying the range spectrum of cosmic ray mesons.
Volume 21 Issue 6 June 1945 pp 241-264
Volume 31 Issue 2 February 1950 pp 130-139
Photographic plates exposed at high altitudes show a population of stars and isolated single tracks. Statistics are given covering 288 stars and 655 isolated tracks found in an area of 17 sq. cm. Some tracks are closely associated with the stars, and these have a mean range of 4·1 cm. air. The remainder, which show no association with stars, have a mean range of 3·4cm. air. Some stars have more than one associated single track. Alternative explanations are discussed. The most probable hypothesis appears to be that the single tracks are due to the spontaneous disintegration of unstable neutral particles emitted from the stars.
Volume 32 Issue 3 September 1950 pp 141-153
On the basis of the quantum mechanical cross-sections for radiation emission by electrons and pair creation by quanta when screening is complete, the fluctuation in the mean number of electrons and photons in any given energy interval in a cascade is calculated. The expression for the mean square deviation of this number is given explicitly in the form of a double integral which can be evaluated by the saddle point method.
Volume 32 Issue 3 September 1950 pp 154-161
The present note extends to the actual cascade process a result already established by Scott and Uhlenbeck for a model in which there is only one type of physical entity involved. It is shown that with the sole approximation of neglecting the angular divergence of showers complete information about the stochastic process of cascade generation can be calculated. The
Volume 34 Issue 6 December 1951 pp 335-354
The entire class of relativistic wave equations derivable from the Lagrange function
It is shown that there is no equation in this class which describes a particle of spin 3/2 and zero rest mass.
There is an equation in this class in which the particle has a state of finite rest mass and spin 3/2 and another state of zero mass and spin 1/2. In the former state the free charge density is positive definite in the latter zero.