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We have investigated nuclear shell effects across the magic number N=126 inthe region of the r-process path. Microscopic calculations have been performedusing the relativistic Hartree-Bogoliubov approach within the framework of theRMF theory for isotopic chains of rare-earth nuclei in the r-process region.The Lagrangian model NL-SV1 with the inclusion of the vector self-coupling ofomega meson has been employed. The RMF results show that the shell effects atN=126 remain strong and exhibit only a slight reduction in the strength ingoing from the r-process path to the neutron drip line. This is in strikingcontrast to a systematic weakening of the shell effects at N=82 in ther-process region predicted earlier in the similar approach. In comparison theshell effects with microscopic-macroscopic mass formulae show a near constancyof shell gaps leading to strong shell effects in the region of r-process pathto the drip line. A recent analysis of solar-system r-process abundances in aprompt supernova explosion model using various mass formulae including therecently introduced mass tables based upon HFB approach shows that whilst massformulae with weak shell effects at N=126 give rise to a spread and anoverproduction of nuclides near the third abundance peak at A~190, mass tableswith droplet models showing stronger shell effects are able to reproduce theabundance features near the third peak appropriately. In comparison, severalanalyses of the second r-process peak at A~130 have required weakened shelleffects at N=82. Our predictions in the RMF theory with NL-SV1, which exhibitweaker shell effects at N=82 and stronger one at N=126 in the r-process region,support the conjecture that a different nature of the shell effects at themagic numbers may be at play in r-process nucleosynthesis of heavy nuclei.Comment: 14 pages, 8 figures; submitted to Physical Review C. Part of this  work was presented at Nuclear Physics in Astrophysics II, 20th International  Nuclear Physics Divisional Conference of the European Physical Society, at  Debrecen, Hungary, May 16-20, 200

physical review. c. nuclear physics/physical review. c, nuclear physics

Strength of nuclear shell effects at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math>in the<i>r</i>-process region

Strength of nuclear shell effects atN=126in ther-process region