M Z Rahman Khan
Articles written in Pramana – Journal of Physics
Volume 26 Issue 5 May 1986 pp 395-398 Quantum Mechanics
We point out that at any given low energy
Volume 41 Issue 6 December 1993 pp 515-524
A semi-empirical formula is presented which gives a semi-quantitative account of the excitation energies in Λ-hypernuclear excitation spectra. Many elaborate studies made were numerical, but our studies yield an analytical expression. Different three-dimensional harmonic oscillators for the Λ- and the neutron-hole reproduce the observed energy spacings fairly well. However, it would be misleading that the oscillators give the wave functions of the corresponding states also. In the light of harmonic excitations, we briefly discuss some phenomenological and microscopic Λ-hypernuclear calculations.
Volume 46 Issue 6 June 1996 pp 425-429
We have obtained an expression for the oscillator frequency in inverse powers of the nuclear mass number, by equating the spacing of the outermost levels of a square well, found to be nearly constant to the oscillator spacing for which the spacings are also constant. The formulae for the oscillator frequency obtained here are compared with similar formulae obtained by other authors. A reasonable qualitative agreement is found to exist between our formulae of
Volume 48 Issue 5 May 1997 pp 1027-1034
Semi-empirical formulae for ground state Λ-binding energy of heavy hypernuclei, in inverse powers of the mass number, using the mass distribution in the folding model, under fairly reasonable assumptions about the range of the Λ-nucleon force are obtained in more than one plausible way. However, they are found to give nearly identical results. A reasonable estimate of the Λ well-depth is obtained from a chi-square fit of the available ground state Λ-binding energy data of medium and heavy nuclei.
Volume 49 Issue 6 December 1997 pp 617-622
Starting with a Λ-nucleus potential, we have obtained a semi-empirical formula, which gives a fairly satisfactory account of the ground state Λ-binding energy of light hypernuclei, if the very light nuclei are ignored.
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