Spin polarised nuclear matter and its application to neutron stars |
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| Institution: | 1. Variable Energy Cyclotron Centre, 1/AF, Bidhan Nagar, Calcutta 700064, India;2. Saha Institute of Nuclear Physics, 1/AF, Bidhan Nagar, Calcutta 700064, India;1. Department of Mathematics,University College London, Gower Street, London WC1E 6BT, UK;2. Department of Mathematics, COMSATS, Institute of Information Technology, Lahore, Pakistan;3. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan;1. National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA;2. China Institute of Atomic Energy, Beijing, 102413, China;3. Department of Physics, Western Michigan University, Kalamazoo, MI 49008, USA;4. Department of Physics, The University of Hong Kong, Hong Kong, China;5. Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata 700064, India;6. Texas Advanced Computing Center, University of Texas, Austin, TX 78758, USA;1. The Liver Unit, Queen Elizabeth Hospital Birmingham, Birmingham, UK;2. Academic Department of Surgery, University of Birmingham, Birmingham, UK;3. University Hospitals Bristol NHS Foundation Trust, Bristol, BS2 8HW, UK;4. Centre for Surgical Research, University of Bristol, Canynge Hall, 39, Whatley Road, Bristol, BS8 2PS, UK;5. Department of Hepatobiliary, Pancreatic and Transplant Surgery, The Freeman Hospital, Newcastle Upon Tyne, Tyne and Wear, UK;6. Department of Clinical Surgery, University of Edinburgh, Royal Infirmary of Edinburgh, EH16 4SA, UK;7. Department of Pancreatobiliary Surgery, Royal Liverpool University Hospital, L7 8XP, UK;8. Department of HPB Surgery, University Hospitals of Leicester, Gwendolen Road, Leicester, LE5 4PW, UK;9. University Hospitals Coventry and Warwickshire, Clifford Bridge Rd, Coventry, CV2 2DX, UK;10. Department of HPB Surgery, Manchester Royal Infirmary, University of Manchester, Manchester, M13 9WL, UK;11. Department of HPB Surgery, East Lancashire Teaching Hospitals NHS Trust, Haslingden Road, Blackburn, BB2 3HH, UK;12. Oxford University Hospitals NHS FT, Headley Way, Headington, Oxford, OX3 9DU, UK;13. Hull University Teaching Hospitals, Hull, HU3 2JZ, UK;14. Department of HPB Surgery, The Royal Free Hospital, Pond Street, London, NW3 2QG, UK;15. HPB Surgical Unit, Aberdeen Royal Infirmary, Aberdeen, AB25 2ZN, UK;16. Department of HPB Surgery. Sheffield University Teaching Hospital. Sheffield, S5 7AU, UK;17. Barts Cancer Institute, Queen Mary University of London, Charterhouse Square, London, EC1M 6BQ, UK;18. The Royal Marsden Hospital NHS Foundation Trust, Fulham Road, London, SW3 6JJ, UK;19. Institute for Cancer Research, 123 Old Brompton Road, South Kensington, London, SW7 3RP, UK;20. Nottingham University Hospitals, Derby Rd, Lenton, Nottingham, NG7 2UH, UK;21. Morriston Hospital, Heol Maes Eglwys, Morriston, Cwmrhydyceirw, Swansea, SA6 6NL, UK;22. West of Scotland Pancreatic Unit, Glasgow Royal Infirmary, 84 Castle St, Glasgow, G4 0SF, UK;23. Wolfson Wohl Cancer Research Centre, Institute of Cancer Sciences, University of Glasgow, G61 1BD, UK;24. University Hospitals Plymouth NHS Trust, Derriford Road, Crownhill, Plymouth, Devon, PL6 8DH, UK;25. Addenbrookes Hospital, Hills Rd, Cambridge, CB2 0QQ, UK;26. King''s College Hospital, Denmark Hill, Brixton, London, SE5 9RS, UK;27. HPB Surgical Unit, Royal Surrey County Hospital NHS Foundation Trust, Guildford, Surrey, GU2 7XX, UK;28. Department of Clinical and Experimental Medicine, Faculty of Health and Medical Sciences, University of Surrey, Guildford, Surrey, GU2 7WG, UK;29. Mater Hospital, 45-51 Crumlin Rd, Belfast, BT14 6AB, UK;30. University Hospital Southampton, Tremona Road, Southampton, Hampshire, SO16 6YD, UK;31. Ward 11, Ninewells Hospital and Medical School Dundee, DD1 9SY, UK;32. Department HPB Surgery, Hammersmith Hospital, DuCane Road, London, W12 0HS, UK;33. Department of Surgery and Cancer, Imperial College London, London, UK;34. Department of Pancreatic Surgery, St James''s University Hospital, Leeds, LS9 7TF, UK;35. Royal Stoke NHS Trust, Newcastle Road, Stoke-on-Trent, ST4 6QG, UK |
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| Abstract: | An equation of state (EOS) of nuclear matter with explicit inclusion of a spin-isospin dependent force is constructed from a finite range, momentum and density dependent effective interaction. This EOS is found to be in good agreement with those obtained from more sophisticated models for unpolarised nuclear matter. Introducing spin degrees of freedom, it is found that it is possible for neutron matter to undergo a ferromagnetic transition at densities realisable in the core of neutron stars. The maximum mass and the surface magnetic field of the neutron star can be fairly explained in this model. Since finding quark matter rather than hadronic matter at the core of neutron stars is a possibility, the proposed EOS is also applied to the study of hybrid stars. It is found using the bag model picture that one can in principle describe both the mass as well as the surface magnetic field of hybrid stars satisfactorily. |
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