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The nuclear structure and associated electron capture rates on odd-Z nucleus 51V in stellar matter

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Abstract

The Gamow-Teller strength distribution function, B(GT), for the odd Z parent 51V, NZ=5, up to 30 MeV of excitation energy in the daughter 51Ti is calculated in the domain of proton-neutron Quasiparticle Random Phase Approximation (pn-QRPA) theory. The pn-QRPA results are compared against other theoretical calculations, (n, p) and high resolution (d, 2He) reaction experiments. For the case of (d, 2He) reaction the calibration was performed for 0≤E j ≤5.0 MeV, where the authors stressed that within this excitation energy range the ΔL=0 transition strength can be extracted with high accuracy for 51V. Within this energy range the current pn-QRPA total B(GT) strength 0.79 is in good agreement with the (d, 2He) experiment’s total strength of 0.9±0.1. The pn-QRPA calculated Gamow-Teller centroid at 4.20 MeV in daughter 51Ti is also in good agreement with high resolution (d, 2He) experiment which placed the Gamow-Teller centroid at 4.1±0.4 MeV in daughter 51Ti. The low energy detailed Gamow-Teller structure and Gamow-Teller centroid play a sumptuous role in associated weak decay rates and consequently affect the stellar dynamics. The stellar weak rates are sensitive to the location and structure of these low-lying states in daughter 51Ti. The calculated electron capture rates on 51V in stellar matter are also in good agreement with the large scale shell model rates.

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References

  • Alford, W.P., Brwon, B.A., Burzynski, S., Celler, A., Frekers, D., Helemer, R., Henderson, R., Jackson, K.P., Lee, K., Rahav, A., Trudel, A., Vetterli, M.C.: Spin-isospin strength distributions in f-p shell nuclei: A study of the 51V(n, p) and 59Co(n, p) reactions at 198 MeV. Phys. Rev. C 48, 2818 (1993)

    Article  ADS  Google Scholar 

  • Audi, G., Bersillon, O., Blachot, J., Wapstra, A.H.: The NUBASE evaluation of nuclear and decay properties. Nucl. Phys. A 729, 3 (2003a)

    Article  ADS  Google Scholar 

  • Audi, G., Wapstra, A.H., Thibault, C.: The AME2003 atomic mass evaluation (II): tables, graphs and references. Nucl. Phys. A 729, 337 (2003b)

    Article  ADS  Google Scholar 

  • Aufderheide, M.B., Bloom, S.D., Resler, D.A., Mathews, G.J.: Shell-model calculations of Gamow-Teller strength in 51V, 54Fe, and 59Co. Phys. Rev. C 48, 1677 (1993)

    Article  ADS  Google Scholar 

  • Bäumer, C., Van den Berg, A.M., Davids, B., Frekers, D., De Frenne, D., Grewe, E.-W., Haefner, P., Harakeh, M.N., Hofmann, F., Hunyadi, M., Jacobs, E., Junk, B.C., Korff, A., Langanke, K., Martinez-Pinedo, G.: High-resolution study of the Gamow-Teller strength distribution in 51Ti measured through 51V(d, 2He)51Ti. Phys. Rev. C 68, 031303(R) (2003)

    Article  ADS  Google Scholar 

  • Bethe, H.A., Brown, G.E., Applegate, J., Lattimer, J.M.: Equation of state in the gravitational collapse of stars. Nucl. Phys. A 324, 487 (1979)

    Article  ADS  Google Scholar 

  • Brachwitz, F., Dean, D.J., Hix, W.R., Iwamoto, K., Langanke, K., Martínez-Pinedo, G., Nomoto, K., Strayer, M.R., Thielemann, F.-K., Umeda, H.: The role of electron captures in Chandrasekhar-mass models for Type Ia supernovae. Astrophys. J. 536, 934 (2000)

    Article  ADS  Google Scholar 

  • Brown, B.A., Etchegoyen, A., Rae, W.D.M., Godwin, N.S.: Oxford-Buenos Aires-MSU shell model code (OXBASH). MSUCL Report no. 524, (1986)

  • Burrows, A., Livne, E., Dessart, L., Ott, C.D., Murphy, J.: Features of the acoustic mechanism of core-collapse supernova explosions. Astrophys. J. 640, 878–890 (2006)

    Article  ADS  Google Scholar 

  • Caurier, E., Langanke, K., Martínez-Pinedo, G., Nowacki, F.: Shell-model calculations of stellar weak interaction rates. I. Gamow-Teller distributions and spectra of nuclei in the mass range A=45–65. Nucl. Phys. A 653, 439 (1999)

    Article  ADS  Google Scholar 

  • Cowan, J.J., Thielemann, F.-K.: R-process nucleosynthesis in supernovae. Phys. Today 57, 47 (2004)

    Article  Google Scholar 

  • Fujita, Y., Adachi, T., Brentano, P., von Berg, G.P.A., Fransen, C., De Frenne, D., Fujita, H., Fujita, K., Hatanaka, K., Jacobs, E., Nakanishi, K., Negret, A., Pietralla, N., Popescu, L., Rubio, B., Sakemi, Y., Shimbara, Y., Shimizu, Y., Tameshige, Y., Tamii, A., Yosoi, M., Zell, K.O.: Gamow-Teller strengths in proton-rich exotic nuclei deduced in the combined analysis of mirror transitions. Phys. Rev. Lett. 95, 212501 (2005)

    Article  ADS  Google Scholar 

  • Fuller, G.M., Fowler, W.A., Newman, M.J.: Stellar Weak interaction rates for intermediate mass nuclei. III. Rate tables for the free nucleons and nuclei with A=21 to A=60. Astrophys. J. Suppl. Ser. 48, 279 (1982)

    Article  ADS  Google Scholar 

  • Gove, N.B., Martin, M.J.: Log-f tables for beta decay. At. Data Nucl. Data Tables 10, 205 (1971)

    Article  ADS  Google Scholar 

  • Halbleib, J.A., Sorensen, R.A.: Gamow-Teller beta decay in heavy spherical nuclei and the unlike particle-hole rpa. Nucl. Phys. A 98, 542 (1967)

    Article  ADS  Google Scholar 

  • Haxton, W.C.: Supernova neutrino-nucleus physics and the r-process. In: Qian, Y.-Z., Rehm, E., Schatz, H., Thielemann, F.-K. (eds.) Proceedings from the Institute for Nuclear Theory, vol. 13 (2004). Presented at 1st Argonne/MSU/JINA/INT RIA Workshop: The R-Process: The Astrophysical Origin of the Heavy Elements and Related Rare Isotope Accelerator Physics. Also as arXiv:nucl-th/0406012v1.

    Google Scholar 

  • Jokinen, A., Nieminen, A., Äystö, J., Borcea, R., Caurier, E., Dendooven, P., Gierlik, M., Górska, M., Grawe, H., Hellström, M., Karny, M., Janas, Z., Kirchner, R., La Commara, M., Martínez-Pinedo, G., Mayet, P., Penttilä, H., Plochocki, A., Rejmund, M., Roeckl, E., Sawicka, M., Schlegel, C., Schmidt, K., Schwengner, R.: Beta decay of 57Zn. Eur. Phys. J. A 3, 1 (2002)

    Google Scholar 

  • Kuzmin, V.A., Soloviev, V.G.: Gamow-Teller β + decays and strength functions of (n, p) transitions in spherical nuclei. Nucl. Phys. A 486, 118 (1988)

    Article  ADS  Google Scholar 

  • Langanke, K., Martínez-Pinedo, G.: Supernova electron capture rates for Co-55 and Ni-56. Phys. Lett. B 436, 19 (1998)

    Article  ADS  Google Scholar 

  • Langanke, K., Martínez-Pinedo, G.: Shell model calculations of stellar weak interaction rates: II. Weak rates for nuclei in the mass range A=45–65 in supernovae environment. Nucl. Phys. A 673, 481 (2000)

    Article  ADS  Google Scholar 

  • Langanke, K., Martínez-Pinedo, G.: Rate tables for the weak processes of pf-shell nuclei in stellar environments. At. Data Nucl. Data Tables 79, 1–46 (2001)

    Article  ADS  Google Scholar 

  • Liu, J.-J., Luo, Z.-Q.: Effect of strong magnetic field on Gamow-Teller transition electron capture of iron group nuclei at crusts of neutron stars. Commun. Theor. Phys. 49, 239–242 (2008)

    Article  ADS  Google Scholar 

  • Muto, K., Bender, E., Oda, T., Klapdor-Kleingrothaus, H.V.: Proton-neutron quasiparticle RPA with separable Gamow-Teller forces. Z. Phys. A 341, 407 (1992)

    Article  ADS  Google Scholar 

  • Nabi, J.-U.: Weak-interaction-mediated rates on iron isotopes for presupernova evolution of massive stars. Eur. Phys. J. A 40, 223 (2009)

    Article  ADS  Google Scholar 

  • Nabi, J.-U., Johnson, C.W.: Comparison of Gamow-Teller strengths in the random phase approximation. J. Phys. G 40, 065202 (2013)

    Article  ADS  Google Scholar 

  • Nabi, J.-U., Rahman, M.-U.: Gamow-Teller strength distributions and electron capture rates for 55Co and 56Ni. Phys. Lett. B 612, 190–197 (2005)

    Article  ADS  Google Scholar 

  • Nabi, J.-U., Rahman, M.-U.: Gamow-Teller transitions from 24Mg and their impact on the electron capture rates in the O+Ne+Mg cores of stars. Phys. Rev. C 75, 035803 (2007)

    Article  ADS  Google Scholar 

  • Nabi, J.-U., Rahman, M.-U.: Gamow-Teller strength distribution in proton-rich nucleus 57Zn and its implications in astrophysics. Astrophys. Space Sci. 332, 309–317 (2011)

    Article  ADS  Google Scholar 

  • Nabi, J.-U., Sajjad, M.: Comparative study of Gamow-Teller strength distributions in the odd-odd nucleus 50V and its impact on electron capture rates in astrophysical environments. Phys. Rev. C 76, 055803 (2007)

    Article  ADS  Google Scholar 

  • Nabi, J.-U., Sajjad, M.: Neutrino energy loss rates and positron capture rates on 55Co for presupernova and supernova physics. Phys. Rev. C 77, 055802 (2008a)

    Article  ADS  Google Scholar 

  • Nabi, J.-U., Sajjad, M.: Expanded calculations of proton-neutron quasiparticle random phase approximation (pn-QRPA) electron capture rates on 55Co for presupernova and supernova physics. Can. J. Phys. 86, 819 (2008b)

    Article  ADS  Google Scholar 

  • Nabi, J.-U., Sajjad, M., Rahman, M.-U.: Electron capture rates on titanium isotopes in stellar matter. Acta Phys. Pol. B 38, 3203 (2007)

    ADS  Google Scholar 

  • Poves, A., Sánchez-Solano, A., Caurier, E., Nowacki, F.: Shell model study of the isobaric chains A=50, A=51 and A=52. Nucl. Phys. A 694, 157 (2001)

    Article  ADS  Google Scholar 

  • Rahman, M.-U.: The Gamow-Teller strength distributions and associated weak decay rates in stellar matter. Ph.D. Thesis, GIK Institute of Eng. Sciences & Tech. Pakistan (2007)

  • Sasano, M., Sakai, H., Yako, K., Wakasa, T., Dozono, M., Rodin, V., Faessler, A., Fujita, K., Greenfield, M.B., Hatanaka, K., Itoh, K., Kawabata, T., Kuboki, H., Maeda, Y., Miki, K., Muto, K., Noji, S., Okamura, H., Sakemi, Y., Sekiguchi, K., Shimizu, Y., Sasamoto, Y., Tameshige, Y., Tamii, A., Uesaka, T.: Gamow-Teller transition strengths in the intermediate nucleus of the 116Cd double-ß decay by the 116Cd(p, n)116In and 116Sn(n, p)116In reactions at 300 MeV. Phys. Rev. C 85, 061301(R) (2012)

    Article  ADS  Google Scholar 

  • Soloviev, V.G.: Fragmentation of single-particle and collective motions in the quasiparticle–phonon nuclear model. Prog. Part. Nucl. Phys. 19, 107 (1987)

    Article  ADS  Google Scholar 

  • Staudt, A., Hirsch, M., Muto, K., Klapdor-Kleingrothaus, H.V.: Calculation of â-delayed fission of 180Tl and application of the quasiparticle random-phase approximation to the prediction of β +-decay half-lives of neutron-deficient isotopes. Phys. Rev. Lett. 65, 1543 (1990)

    Article  ADS  Google Scholar 

  • Zhi, Q., Langanke, K., Martinez-Pinedo, G., Nowacki, F., Sieja, K.: The 76Se Gamow-Teller strength distribution and its importance for stellar electron capture rates. Nucl. Phys. A 859, 172–184 (2011)

    Article  ADS  Google Scholar 

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Correspondence to Jameel-Un Nabi.

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Rahman, MU., Nabi, JU. The nuclear structure and associated electron capture rates on odd-Z nucleus 51V in stellar matter. Astrophys Space Sci 348, 427–435 (2013). https://doi.org/10.1007/s10509-013-1580-5

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