The hyperspherical harmonics expansion method is applied to a three-body model of two-neutron halo nuclei. Convergence of the expansion has been ensured. A short-range repulsive part is incorporated in the interaction between the core and the extra-core neutron, to simulate the Pauli principle. Two neutron separation energy, rms radii, correlation factor and halo neutron density distributions have been calculated for 11Li. It is found that the convergence of the two-neutron separation energy is relatively slow, while other quantities reach convergence quickly.

TAPAN DAS

Ancient Indian History and Culture

M A KHAN

S K DUTTA

M K PAL

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

Hyperspherical three-body calculation for neutron drip-line nuclei

Journal of Physics G: Nuclear and Particle Physics

We propose a novel theoretical technique for the calculation of resonance at low excitation energies in weakly bound systems. Starting from an effective potential, supersymmetric quantum mechanics can be successfully used to generate families of isospectral potentials having desirable and adjustable properties. For resonance states, for which there is no bound ground state of the same spin-parity, one can construct an isospectral potential with a bound state in the continuum (BIC). The potential looks quite different but is strictly isospectral with the original one. The quasi-bound state in the original shallow potential will be effectively trapped in the deep well of the isospectral family facilitating an easier and more accurate calculation of the resonance energy. Application to 6He, 6Be, and 6Li systems yields quite accurate results. The beauty of our technique: We get both the bound ground state and the resonances by a single technique and using the same potential.

Few-Body Systems

Resonances in A = 6 nuclei: Use of supersymmetric quantum mechanics

Hyperspherical harmonics expansion (HHE) method has been applied to study the structure and ΛΛ dynamics for the ground and first excited states of low and medium mass double-Λ hypernuclei in the framework of core+Λ+Λ three-body model. The ΛΛ potential is chosen phenomenologically while core-Λ potential is obtained by folding the phenomenological ΛN interaction into the density distribution of the core. The parameters of this effective ΛN potential is obtained by the condition that they reproduce the experimental (or empirical) data for core-Λ subsystem. The three-body (core+Λ+Λ) Schrödinger equation is solved by hyperspherical adiabatic approximation (HAA) to get the ground state energy and wave function. This ground state energy and wave function are used to construct a partner potential. The three-body Schrödinger equation is solved once again for this partner potential. According to supersymmetric quantum mechanics, the ground state energy of this potential is exactly the same as that of the first excited state of the potential used in the first step. In addition to the two-Λ separation energy for the ground and first excited state, some geometrical quantities for the ground state of double-Λ hypernuclei 6ΛΛHe, 10ΛΛBe, 14ΛΛC, 18ΛΛO, 22ΛΛNe, 26ΛΛMg, 30ΛΛSi, 34ΛΛS, 38ΛΛAr, 42ΛΛCa, 46ΛΛTi, 50ΛΛCr, 54ΛΛFe, 58ΛΛNi, 62ΛΛZn, 66ΛΛGe, 70ΛΛSe, 74ΛΛKr, 78ΛΛSr, 82ΛΛZr, 86ΛΛMo, 90ΛΛRu, 94ΛΛPd, 98ΛΛPd, 102ΛΛCd, 106ΛΛSn, 132ΛΛXe, 140ΛΛCe, 166ΛΛEr, 180ΛΛHf, 210ΛΛPb, 232ΛΛTh are computed. These include the ΛΛ bond energy and various r.m.s. radii.

Journal	Data powered by TypesetJournal of Physics G: Nuclear and Particle Physics
Publisher	Data powered by TypesetIOP PUBLISHING LTD
ISSN	0954-3899