Armstrong Whitworth A.W.59

Armstrong Whitworth saw two problems. Firstly it believed that an equipped aircraft able of reaching supersonic speeds needs to be solved without the aid of rockets.  Secondly was the means of varying wing sweep with every mechanical engineering difficulties involved in rotating a surface with heavy loads which must remain rigid all the time despite the restricted depth of any pivot placed within the wing.
In order to solve the first problem, a minimal frontal area was needed and, in order to solve it the engine should be some fuselage mounted Sapphires placed in tandem and fed by a common air intake even if additional area was needed to house the swept-back mechanism and the undercarriage, if fitted. The frontal intake was prefered to a side one as it behaved better at supersonic speeds.

It was designed in the 1950s and would've been armed by 2x 30mm Aden cannons plus some more air-to-air missiles, more probably firestreak missiles placed at the tip of the wings and even at a hardpoint under these. Overall it was a project to research the feasibility of the swept-wings.

Sources:
1. Midland Publishing - British Secret Projects - Jet Fighters since 1950