A new method of evaluation of matrix elements, involving integration of a very rapidly oscillating function, has been developed. The proposed procedure is accurate, efficient, and fast and has been applied to the calculation of potential matrix elements of the trinucleon system with Reid soft core potential in hyperspherical harmonics expansion method. © 1994 Academic Press. All rights reserved.

TAPAN DAS

Ancient Indian History and Culture

S BHATTACHARYYA

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Journal of Computational Physics

The hyperspherical harmonics expansion method has been used to solve the trinucleon system where the nucleons interact through Reid soft core potential. The binding energy of triton, both for extreme adiabatic approximation and uncoupled adiabatic approximation, and the S-state, S′-state and D-state probabilities are calculated and compared with the results by the Faddeev method. © 1995 the Indian Academy of Sciences.

Pramana

Trinucleon system with Reid soft core potential by hyperspherical harmonics expansion method

We present the full set of equations for the solution of the trinucleon problem by the hyperspherical harmonics expansion (HHE) method where nucleons interact via the Reid soft core (RSC) potential. The coupling potential matrix elements are expressed in terms of geometrical structure coefficients (GSC) and potential multipoles (PM). Introduction of GSC greatly simplifies the calculation of the potential matrix and makes the numerical algorithm efficient. A method for calculating all the twelve independent sets of GSC needed, by using the completeness property of the Jacobi polynomials has been presented. A convenient sum rule for each set of GSC has also been derived and precision of the calculated GSC has been checked by the sum rule. Such calculations of GSC are efficient and fast, in view of the complexity of the HHE equations. © 1993 Indian Academy of Sciences.

Hyperspherical harmonics approach to the trinucleon system with Reid soft core potential: Calculation of geometrical structure coefficients

Nuclear Physics A

Hyperspherical approach to few body problems: A summary and new developments

Mathematics of Computation

Pocketbook of Mathematical Functions--Abridged Edition of Handbook of Mathematical Functions, Milton Abramowitz and Irene A. Stegun.

Physical Review C

Calculation of geometrical structure coefficients for the trinucleon system with central and tensor interactions

Physics Reports

The bonn meson-exchange model for the nucleon—nucleon interaction

An Efficient Numerical Algorithm for Calculation of Matrix Elements of Trinucleon System with Realistic Potentials

Journal	Journal of Computational Physics
Publisher	-
ISSN	0021-9991