Research Interests

Fields of Specialization

Few-body problems play a significant role not only classical or astrophysics, but in atomic, nuclear and physics of exotic particle systems as well. In physics, few-body problems help exploring the gross features of most of the many-body systems as building blocks. Exotic systems containing electron(s), proton(s), muon(s), taon(s), kaon(s), deuteron(s), hyperon(s) etc and their anti-matters may exhibit many exciting features for physicists working on atomic spectroscopy, quantum electrodynamics, astrophysics, astronuclear physics and particle physics. Nuclei like 11Li, 6He, 11B containing very loosely bound nucleon(s) moving around a relatively stable core, having unusually small one or two nucleon separation energy, large rms matter radii and long tail in the density distribution termed as “halo” nuclei and bound nuclei consisting of a stable core plus one or two valence hyperon(s) called hypernuclei consitute exotic nuclei. In the stellar environment fusion reaction of light nuclei are of great importance because they produce the enormous energy in the stars that made them shining. Study of astrophysical S-factor for the light nuclear reaction at very low energies are of great importance because the process involves both the mutual Coulomb barrier of the interacting nuclei as well as the nuclear strong interaction. Study of the bulk properties of nuclear matter at extremely high densities are becoming area of rapidly growing interest because they involve the interplay of the fundamental interactions in the vast natural cosmic laboratory.

Out of several theoretical approaches like the Faddeev equation approach, Variational approach, angular correlated configuration interaction approach, correlated Gaussian approach- hyperspherical coordinate approach has edge over others for the ab-initio solution of few-body Schrodinger equation for a given set of potentials among the constituent particles. The method provides a clear physical picture of the system in terms of the configuration space wave function. Hyperspherical harmonics expansion (HHE) method is an essentially exact one and acts as a powerful tool for the ab initio solution of few-body Schrodinger equation. In hyperspherical co- ordinates the use of orthonormality of HH in the Schrodinger equation leads to an infinite set of coupled differential equations (CDE) which are solvable analytically or numerically depending on the nature of two-body interaction(s) chosen for the few-body systems. A unitary transformation of the expansion basis is possible to simplify the computation of coupling potential matrix elements. Clubbing HHE method with the supersymmetric Quantum mechanics formalism further enhances the capability of the method to study excited bound and resonance levels in exotic few-body systems.

Set of coupled differential equations may be derived for the ecological systems having constituents which may have prey predator relationship among themselves. Modelling for such a system can further be extended to cosmological objects containing a black hole as predator and surrounding stars or cosmic bodies as prey. Homotopy perturbation technique has been proved useful in eco-biological systems.

Publications

Book

[1] Nuclear Astrophysics: A Course of Lectures [2016], Publisher: CRC Press, Taylor & Francis Group, ISBN: 978-1138588165

Research Article

[34] N. Mohammad, S.H. Mondal, Rabiul Islam and Md. Abdul Khan,  Study of astrophysical S-factor, S (E) and thermonuclear fusion reaction rate, TNFRR for some α-trapped interactions.  EPJ Web of Conferences, 2025, Vol. 325, pp. 01010 , Published online: 05 May 2025 [DOI: https://doi.org/10.1051/epjconf/202532501010]

[33] Md. A. Khan and M. Hasan, Resonance Energy and Wavefunction of 31 Ne: a Calculation Using Supersymmetric Quantum Mechanics.  Physics of Atomic Nuclei, 2023, Vol. 86, No. 5, pp. 670–679.  [DOI: https://doi.org/10.1134/S1063778823050186]

[33] Md. A. Khan and M. Hasan, Resonance Energy and Wavefunction of 31 Ne: a Calculation Using Supersymmetric Quantum Mechanics.  Physics of Atomic Nuclei, 2023, Vol. 86, No. 5, pp. 670–679.  [DOI: https://doi.org/10.1134/S1063778823050186]

[32] Md. Abdul Khan and Mahamadun Hasan, Few-body model approach to the lowest bound S-state of non-symmetric exotic atoms and ions. Phys. Scr. 98 (2023) 075407 [DOI: https://doi.org/10.1088/1402-4896/acde1f]

[31] Md.A. Khan∗ , S.H. Mondal, M. Alam, M. Hasan, Study of Fusion Reactions of Light Nuclei at Low Energies Using Complex Nucleon-Nucleus Potential Function. Bulgarian Journal of Physics vol. 50 (2023) 354–366 [DOI: https://doi.org/10.55318/bgjp.2023.50.4.354]

[30] Md.A. Khan, M. Hasan, S.H. Mondal, M. Alam, T. Surungan,"Study of Resonances in Exotic Drip-Line Nuclei by the Use of Super-Symmetric Quantum Mechanics" Bulgarian Journal of Physics vol. 50 (2023) 335–353 [DOI: https://doi.org/10.55318/bgjp.2023.50.4.335]

[29] M Alam, M Hasan, SH Mondal, MA Khan, Low-lying bound and resonance states in ^61 ΛCa and ^62 ΛΛCa.  Int. J. Mod. Phys. E , Vol. 32, No. 2 (2023) 2350009 (25 pages) [DOI: https://dx.doi.org/10.1142/S021830132350009X]

[28] SH Mondal, M Alam, M Hasan, MA Khan, TOV equation of state and bulk properties of astro-nuclear objects: an investigation, Journal of Physics: Conference Series 2349 (1), (2022) 012025 [DOI: 10.1088/1742-6596/2349/1/012025]

[27] M Alam, SH Mondal, M Hasan, MA Khan, Onset of the bound states in strange Λ, Ξ-hypernuclei and hyperspherical three-body model calculation for the corresponding double hyperon hypernuclei. Journal of Physics: Conference Series 2349 (1), (2022) 012021 [DOI 10.1088/1742-6596/2349/1/012021]

[26] M Hasan, M Alam, S H Mondal and Md A Khan , Study of resonances in exotic neutron-rich 14Be by the use of isospectral potential. J. Phys.: Conf. Ser. 2349 (2022) 012024 [DOI 10.1088/1742-6596/2349/1/012024]

[25] Khan, M.A., Mondal, S.H., Alam, M., Hasan, M. S-factors and thermonuclear reaction rate for p+ 13N, p+14N and p+19F fusion reactions at energies much below the Coulomb barrrier. Eur. Phys. J. Plus 137, 745 (2022). [https://doi.org/10.1140/epjp/s13360-022-02991-2]

[24] SH Mondal and Md. A. Khan, Study of fusion cross section and astrophysical S-factor for p+¹⁵N and α+¹²C at sub-barrier energy, Int. J. Mod. Phys. E,  Volume 31, Issue 5, (2022) 2250045 [doi: https://doi.org/10.1142/S0218301322500458]

[23] MA Khan, M Hasan, SH Mondal, M Alam, Hyperspherical three-body model calculation for the bound and resonant states of the neutron dripline nuclei 42,44Mg using isospectral potential, Nuclear Physics A 1015, 122316 (2021)

[22] MA Khan, M Hasan, SH Mondal, M Alam, Application of Supersymmetric Quantum Mechanics to Calculate Resonance Energy and Wave Function of

Halo Nucleus 19 C,  Few-Body Systems 62 (3), 1-1 ( 2021 )

[21] MA Khan, M Alam, M Hasan, SH Mondal , Hyperspherical few-body model calculation for cascade exotic Xi-hypernuclei with reference to nuclear driplines, 

Bulgarian Journal of Physics 47 (1-2), 87-101 (2020)

[20] V Singh, D Atta, MA Khan, DN Basu,  Astrophysical S-factor for deep sub-barrier fusion reactions of light nuclei, Nuclear Physics A 986, 98-106 (2019)

[19] M Hasan, T Surungan, MA Khan, Construction of a one-parameter family of isospectral potential to study resonances in weakly bound halo nuclei, Journal of Physics: Conference Series 1354 (1), 012003 (2019)

[18] PK Bera, S Sarwardi, MA Khan, Application of Homotopy Perturbation Method to an Eco-epidemic Model, Int. J. Ecological  Economics and Statistics 40(2), 17-24 (2019)  [http://www.ceser.in/ceserp/index.php/ijees/issue/view/608]

[17] H Sultana, R Bhattacharjee, A Chakraborty, MA Khan, SS Bhattacharjee et al, Possible onset of multifaceted excitation modes in 29Al, Physical Review C 98 (1), 014330 (2018)

[16] Md. A. Khan. “Few-body model approach to the bound states of helium-like exotic three-body systems”, 2016 J. Phys.: Conf. Ser. 759 012054 [doi: 10.1088/1742-6596/759/1/012054]

 http://iopscience.iop.org/article/10.1088/1742-6596/759/1/012054/meta

[15] Md. A. Khan. “Hyperspherical three-body model calculation for the bound 3,1S-states of Coulombic systems”, Int. J. Mod. Phys. E: Vol. 24, No. 12 (2015) 1550094 (18 pages)

[14] Md. A. Khan. “Application of Hyperspherical Harmonics Expansion Method to the Low-lying Bound S-States of Exotic Two-Muon Three-body Systems”, Int. J. Mod. Phys. E: Vol. 23, No. 10 (2014) 1450055 (23pages)

[13] Md. A. Khan. “Low-lying S-States of Two-Electron Systems”, Few-Body Systems, Vol. 55, No. 11 (2014) 1125

[12] Md. A. Khan. “Hyperspherical three-body calculation for muonic atoms”, Euro. Phys. J. D., Vol. 66, No.3, 83(2012)

[11] Md. A. Khan. “Hyperspherical three-body calculation for exotic atoms”, Few-Body  Systems, Vol. 52, 53(2012)

[10] S. K. Dutta, T. K. Das, M. A. Khan and B. Chakrabarti. “Calculation of Resonances in Weakly Bound Systems.” Int. J. Mod. Phys. E, Vol. 13, No. 4, 811(2004)

[9] S. K. Dutta, T. K. Das, M. A. Khan and B. Chakrabarti. “Resonances in A=6 Nuclei: use of Supersymmetric Quantum Mechanics.” Few-Body Systems, Vol. 35, 33 (2004)

[8] S. K. Dutta, T. K. Das, M. A. Khan and B. Chakrabarti. “Computation of 2+resonance in 6He: bound state in the continuum.” J. Phys. G: Nucl. Part. Phys. 29, 2411 (2003)

Doctoral

[7] Md. A. Khan, T. K. Das and B. Chakraborti. “Study of the excited state of double-L hyper nuclei by hyperspherical supersymmetric approach.” Int. J. Mod. Phys. E, Vol. 10, No. 2, 107(2001)

[6] Md. A. Khan and T. K. Das. “Investigation of LL dynamics and effective LN interaction in low and medium mass hyper nuclei.” Fizika B (Zagreb), Vol. 10, No. 2, 83(2001)

[5] Md. A. Khan and T. K. Das. “Investigation of the halo structure of 6He by hyperspherical three-body method.” Pramana-J. Phys. (India), Vol. 57, No. 4, 701(2001)

[4] Md. A. Khan and T. K. Das. “Study of LL dynamics and ground state structure of low and medium mass double-L hyper nuclei.” Pramana-J. Phys. (India), Vol. 56, No. 1, 57(2001)

[3] Md. A. Khan and T. K. Das. “Investigation of 6He hyper nuclei by the hyperspherical three body method.” Fizika B (Zagreb), Vol. 9, No. 2, 55(2000)

[2] Md. A. Khan, S. K. Dutta and T. K. Das. “Computation of Raynal-Revai coefficients for the hyperspherical approach to a three body system.” Fizika B (Zagreb), Vol. 8, No. 4, 469(1999)

[1] Md. A. Khan, S. K. Dutta, T. K. Das and M. K. Pal. “Hyperspherical three-body calculation for neutron drip-line nuclei.” J. Phys. G: Nucl. Part. Phys., Vol. 24, 1519(1998)

Oral/Poster Presentation:

[] to be updated soon

[5]  Presented paper "Hyperpherical few-body model calculation for the weakly

bound 4He clusters"as INVITED TALK in The 6th International Conference on Theoretical and Applied Physics (ICTAP-2016): September 19-21, 2016, Makassar, Indonesia.

[4]Presented paper (oral) (AMOP-471) in “XXVII IUPAP Conference on Computational Physics: CCP-2015” jointly organized by IIT Guwahati & IMS Chennai to be held at IIT Guwahati, Assam, India during Dec 2-5, [2015]

[3] Md. A. Khan and T. K. Das. “Study of the excited state of double-L hyper nuclei by hyperspherical super symmetric approach.” Proc. Int. Symp. On Nucl. Phys. BARC, Mumbai, India, Dec 18-22, 2000, Vol. 43B, 335(2000)

[2] Md. A. Khan and T. K. Das. “Investigation of exotic6He hyper nuclei by the

hyperspherical three body method.” Proc. DAE Symp. On Nucl. Phys. BARC, Mumbai, India, Dec 21-24, 1998, Vol. 41B, 268(1998)

[1] Md. A. Khan and T. K. Das. “Investigation of halo nuclei by the hyperspherical three body method.” Proc. DAE Symp. On Nucl. Phys., Bangalore University, Bangalore, India, Dec 26- 30, 1997, Vol. 40B, 276(1997)

Participation/contribution  in Conference/ School/ Workshop/ Seminar:  

[] to be updated soon

[32] Microscopic Interaction Potential for Heavy-Ion Fusion, “Frontiers in Gamma Ray Spectroscopy (FIG2025)”, TIFR, Mumbai, India, March 09-12, [2025]

[31] The search for resonance energy and wave function of 62Ca exotic halo nucleus using, “Frontiers in Gamma Ray Spectroscopy (FIG2025)”, TIFR, Mumbai, India, March 09-12, [2025]

[30] Study of astrophysical S-factor and cross-section of α-capture reaction by using folding model potential, “7th Regional Science and Technology Congress (7RCTC)”, Jointly organised by Malda Ciollege, Malda and Department of Science & Technologgy & Biotechnology, Govt. of West Bengal, January 7-8, [2025]

[29] The search for resonances in 26O exotic nucleus using the SSQM; “68th DAE Symposium on Nuclear Physics (SNP-2024)”, sponsored by Board of Research in Nuclear Sciences, held at IIT Roorkee, Uttarakhand, during December 07-11, [2024]

[28] Study of astrophysical S-factor, S (E) and thermonuclear fusion reaction rate, TNFRR for some α-trapped interactions; “International Conference on Advanced Physics for Sustainablev Future: Innovations and Solutions (IEMPHYS-24)” organized by Institute of Engineering and Management, school of University of Engineering and Management, October 25-27, 2024

[27] Search of correct projectile energy for some p-induced fusion reactions using folding model potential; “4th National Conference on Frontiers of Modern Physics (NCFMP 2024)”, organized by the Department of Physics, School of Basic and Applied Sciences, Adamas University, Kolkata, February 23-24, [2024]

[26] Use of isospectral potential in the search of resonances in exotic 24O; “Meghnad Saha Memorial International Conference on Frontiers of Physics MSMICFP-2023”  Organized by Physics Department, University of Allahabad in association with The National Academy of Sciences, India; November 22 - 24, [2023]

[25] Participated in the “School-cum-Workshop on Low Energy Nuclear Astrophysics: SLENA-2023” organized by Saha Institute of Nuclear Physics (SINP), 1/AF, Bidhannagar, Kolkata -700091, India  during Nov 7-10, [2023]

[24] Study of some astronuclear parameters for some p-induced fusion reactions; “3rd International Conference on Plasma Theory and Simulations (PTS-2023)" organised by School of Physical Sciences (SPS), Jawaharlal Nehru University, New Delh, September 21-23, [2023]

[23] Study of the onset of stability of LX6He and LS6He hypernuclei in the hyperspherical three-body model approach; “National Conference on Low Energy Nuclear Reaction Dynamics” organized by Department of Physics, Faculty of Science, Aligarh Muslim University, Aligarh, March 7-9, [2022]

[22] Study of energy dependence of thermonuclear reaction rate for p+ 12C fusion reaction; “National Conference on Low Energy Nuclear Reaction Dynamics” organized by Department of Physics, Faculty of Science, Aligarh Muslim University, Aligarh, March 7-9, [2022]

[21] Actively participated in the Ministry of Education, Govt. of India Approved: Online Two - Week Interdisciplinary Refresher Course on “Research Methodology” organized by Teaching Learning Centre, Ramanujan College, University of Delhi during Dec 12, 2021 to Jan 05, [2022]

[20] Actively participated and deliberated in the UGC Sponsored 3 Week (Online) “Refresher Course in Natural Sciences ” UGC-HRDC, Goa University, Goa, India during July 27 to Aug 09, [2021]

[19] Actively participated in the UGC recommended Two-Week Online "Faculty Development Programme (FDP) on Advanced Techniques & Tools in Social Science Research” organized by Department of Management & Business Administration, Aliah University, Kolkata, India  in collaboration with SPSS, South Asia during Nov 24 - Dec 07, [2020]

[18] Participated and Chaired  a session in the “5th School cum Workshop on Low Energy Nuclear Astrophysics: SLENA-2020” organized by Saha Institute of Nuclear Physics (SINP), 1/AF, Bidhannagar, Kolkata -700091, INDIA during February 10-14, [2020]

[17] Actively participated and deliberated in the 3-Week UGC Sponsored “Refresher Course on Recent Developments in Physics: Theory and Experiment” organized by UGC-HRDC, J. U., Kolkata-700032, India during Nov 19, 2018 to Dec 11, [2018] 

[16] Actively participated in the "Faculty Development Programme on Research Methodology (FDP RM-2026)” organized by the Department of Management & Business Administration, Aliah University, Kolkata-700160, India during  July 12-20, [2016]

[15]  Participated and delivered talk in the "CNT School: Lecture on Selected Topics in Nuclear Theory (CNT LSTNT)”  organized by Variable Energy Cyclotron Centre, 1/AF, Bidhannagar, Kolkata -700091 during  February 16-25, [2016]

[14] Presented paper (oral) (AMOP-471) in “XXVII IUPAP Conference on Computational Physics: CCP-2015” jointly organized by IIT Guwahati & IMS Chennai to be held at IIT Guwahati, Assam, India during Dec 2-5, [2015]

[13] Actively participated in the Refresher course on “Analytical Instruments: Techniques and Applications”, Sponsored by University Grants Commission, Govt. of India, Venue: UGC Academic Staff College, University of Jadavpur, Kolkata, India, Feb 23- March 16, [2013]

[12] Organized and presented paper in WBREDA sponsored one day seminar on “Renewable Energy Resources” in the Department of Physics, Raiganj Surendranath Mahavidyalaya. May 23, [2013].

[11] Actively participated in the “Six days training programme on PHOENIX” at the Inter University Accelerator Centre, New Delhi, India during Oct 15-20, [2012]

[10] Participated in the UGC Sponsored National Workshop on Application of Statistical Methods: An Interdisciplinary Approach, Organized by Raiganj Surendranath Mahavidyalaya in collaboration with Alipurduar College, September 5-11, [2012].

[9] Actively participated in the 9th Orientation Programme, Sponsored by University Grants Commission, Govt. of India, Venue: UGC Academic Staff College, University of North Bengal, Silliguri, India during March 2-29, [2012]

[8] Actively participated in the Workshop on the Syllabus for 1yr PG Diploma on Environment Management and Sustainable Development, Centre for Studies on Environment and Sustainable Development, Rabindrabharati University, India on May 24,[2010]

[7] Actively participated in the “Orientation Course for Higher Secondary Teachers”, Organised by West Bengal Council of Higher Secondary Education, Venue: Silliguri, WB, India [2002]

[6] Poster presentation in the International Symposium on Nuclear Physics, Organized by Department of Atomic Energy, Govt. of India, Venue: Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai, India, Dec 18-22, [2000]

[5] Poster presentation in the Symposium on Nuclear Physics, Organized by Department of Atomic Energy, Govt. of India, Venue: Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai, India [1998]

[4] Poster presentation in the Symposium on Nuclear Physics, Organized by Department of Atomic Energy, Govt. of India, Venue: Department of Physics, Bangalore University, Bangalore, India [1997]

[3] II SERC School in Physics: Reaction Mechanism and Dynamics, Sponsored by Department of Science & Technology, Govt. of India, Venue: Department of Physics, Himachal Pradesh University, Summer-Hill, Shimla, India Oct 20 – Nov 8, [1997]

[2] Actively participated in the “Training-cum-Workshop on UNIX/C” organized by University Computer Centre, Venue: Meghnad Saha Bhavan, Calcutta University Computer Centre,Calcutta, India Aug 19 - Dec 4,[1996]

[1] Actively participated in the “Workshop on FORTRAN-90 and its Application to Physics and Chemistry”, S N Bose National Centre for Basic Sciences, Kolkata, India, Oct 28 – Nov 9,[1996]